\r\n\tRisk management aims to develop an efficient organizational development environment through risk planning, assessment, analysis, and control. This process will apply in all areas of activity, and the evaluation framework is the same regardless of the field. This volume will aim to appeal to chapters that address methods, models, evaluation frameworks, benefits, barriers, and other dimensions of risk management. \r\n\tSustainability and the circular economy are approaches approached by many companies and have become activities of global interest. Protecting the environment, streamlining the consumption of organizational resources, reducing the amount of waste generated, and other activities are objectives of these efforts. The circular economy contributes to the sustainable development of the company or country and the achievement of the global objectives of sustainable development. This book will aim to collect various studies for organizational and global sustainability. \r\n\tLeadership has become a globally desirable approach that can help improve organizational competitiveness and reduce organizational risks. Risks and barriers in risk-free management can be well managed through effective organizational leadership. This book will aim to bring together chapters that explore different areas of leadership.
",isbn:"978-1-83768-218-8",printIsbn:"978-1-83769-991-9",pdfIsbn:"978-1-83768-219-5",doi:null,price:0,priceEur:0,priceUsd:0,slug:null,numberOfPages:0,isOpenForSubmission:!0,isSalesforceBook:!1,isNomenclature:!1,hash:"5d9c14d51cb7e214a9093c454eab1404",bookSignature:"Prof. Larisa Ivascu, Dr. Ben-Oni Ardelean and Dr. Muddassar Sarfraz",publishedDate:null,coverURL:"https://cdn.intechopen.com/books/images_new/11937.jpg",keywords:"Technical Risk, Occupational Risk, Operational Risk Management, Economic Risk, Financial Risk, Thematic Mapping, Global Sustainability, Sustainability Models, Life Cycle Assessment, Critical Raw Materials, Global Leadership, Risks",numberOfDownloads:null,numberOfWosCitations:0,numberOfCrossrefCitations:null,numberOfDimensionsCitations:null,numberOfTotalCitations:null,isAvailableForWebshopOrdering:!0,dateEndFirstStepPublish:"May 5th 2022",dateEndSecondStepPublish:"June 2nd 2022",dateEndThirdStepPublish:"August 1st 2022",dateEndFourthStepPublish:"October 20th 2022",dateEndFifthStepPublish:"December 19th 2022",dateConfirmationOfParticipation:null,remainingDaysToSecondStep:"a month",secondStepPassed:!0,areRegistrationsClosed:!1,currentStepOfPublishingProcess:3,editedByType:null,kuFlag:!1,biosketch:"Dr. Ivascu obtained Ph.D. in Management and graduated with an MBA in Production and Transportation from the Faculty of Management, Politehnica University of Timisoara. She is the president of the scientific committee of the Academy of Political Leadership and vice-president of the Society for Ergonomics and Work Environment Management. Dr. Ivascu has been involved in national and international projects and has published nine books, and contributed scientifically to more than 200 scientific articles.",coeditorOneBiosketch:"Dr. Ben-Oni Ardelean obtained Ph.D. in Political Science and Ph.D. in Theology; he has extensive academic and political experience. He is the author of several books and numerous academic articles. He is highly preoccupied with supporting those in need, helping others to help themselves, and motivating people to live a life of purpose, love, and compassion. Dr. Ardelean is also a researcher dedicated to the management area and an honorary member of the Academy of the Romanian Scientists.",coeditorTwoBiosketch:"Dr. Muddassar Sarfraz completed a postdoctoral fellowship in Business Management at the Business School of Hohai University, China. He is a member of the British Academy of Management, Chinese Economists Society (USA), World Economic Association (UK), and the American Economic Association. He is an ambassador of the MBA program at Chongqing University, China. His research focuses on corporate social responsibility, risk management, strategic management, and business management.",coeditorThreeBiosketch:null,coeditorFourBiosketch:null,coeditorFiveBiosketch:null,editors:[{id:"288698",title:"Dr.",name:"Larisa",middleName:null,surname:"Ivascu",slug:"larisa-ivascu",fullName:"Larisa Ivascu",profilePictureURL:"https://mts.intechopen.com/storage/users/288698/images/system/288698.png",biography:"Dr. Larisa Ivascu is a professor at the Politehnica University of Timisoara, Romania, with eighteen years of experience in programming, teaching, and research. She graduated with an MBA in Production and Transportation from the Faculty of Management, Politehnica University of Timisoara. She is a doctoral supervisor in the field of engineering and management. She is the head of the Entrepreneurship Office of Politehnica University of Timișoara, and director of the Research Center in Engineering and Management. She is the president of the scientific committee of the Academy of Political Leadership, and vice-president of the Society for Ergonomics and Work Environment Management. 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He completed a postdoctoral fellowship in Business Management at the Business School of Hohai University, China. He has published numerous papers in foreign authoritative journals and academic conferences at home and abroad. He is senior editor of Cogent Business & Management, associate editor of Frontiers in Psychology, Energies, and Future Business Journal, and guest editor of Frontiers in Environmental Sciences and INQUIRY. He is a member of the British Academy of Management, Chinese Economists Society (USA), World Economic Association (UK), and the American Economic Association, and an ambassador of the MBA program at Chongqing University, China. 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1. Introduction
In recent years, as a rule, improvement of the reliability of liquid propellant rockets becomes an international technical problem for built-up of safe space transport systems. The high performance, liquid propellant rocket engines require high-pressured turbopumps to deliver extremely low temperature propellants of liquid oxygen (LO2, boiling point 90 K) and liquid hydrogen (LH2, boiling point 20 K) to a combustion chamber in engine [1]. In LO2/LH2 turbopumps, cryogenic high-speed bearings and rotating-shaft seals are very important parts to sustain high reliability of the high-rotating-shaft systems. The turbopump bearings are directly equipped in cryogenic propellants in pump side [2]. The shaft seal systems are also set up between the cryogenic pumps and the hot turbines to restrain the leakage of cryogenic propellants and hot turbine gas [3].
These bearing and shaft seals have to operate under poor lubricating conditions due to extremely small viscosity at cryogenic temperatures. Furthermore, the turbopump bearings and shaft seals have to overcome a severe high-speed operation that has several critical speeds demonstrating self-induced severe vibration of the rotating shaft. In order to develop turbopump bearings and shaft seals, many inexperienced technical and tribological problems must be solved for extremely low temperature and high speed of operational conditions. Such cryogenic tribological technology has been playing a key role in cryogenic turbopumps to achieve high reliability.
This chapter presents a topical review of cryogenic tribological studies (for about 30 years in Japan) on the research and development of the cryogenic high-speed bearings and shaft seals of rocket turbopumps [4, 5]. The high-speed bearings and shaft seals were continually studied for the LE-5 engine used in the Japanese H-I rocket (developed in 1986) and the LE-7 engine used in the H-II rocket (developed in 1994). The bearings and shaft seals used in LO2/LH2 turbopumps of the LE-5 and LE-7 had a rotational speed level of 50,000 rpm and had been studied and developed from the mid-1970 to the mid-1990. Specially, the all-steel bearings (made of AISI 440C) of the LH2 turbopump of the LE-7 demonstrated high performance with high reliability at high-speed level at 2 million DN (40 mm x 50,000 rpm). The shaft seal systems in the LE-5/LE-7 turbopumps that used a mechanical seal, a floating ring seal (annular seal) and a segmented seal are also reviewed.
Furthermore, for future space transport systems to reduce launch cost and to increase efficiency, advanced rocket engines which are characterized by high durability (long life) and high performance (light weight) are required in recent years. Advanced bearing and shaft seal that have high durability, i.e., a long life of 7.5 hours for the turbopump bearings used in reusable space shuttle main engine (the SSME). Its required life is 15 times longer than that (30 minutes) of the turbopump bearings used in the LE-7. At the first time, the SSME turbopump bearings experienced a serious wear problem in LO2 due to poor self-lubrication of the retainer [6]. In order to extend bearing life, the hybrid ceramic bearing with Si3N4 balls was used to reduce serious wear in the conventional all-steel bearing. A new type of the retainer having PTFE/bronze-powder insert was also developed to obtain sufficient self-lubrication of the hybrid ceramic bearing. Consequently, the improvement of the SSME turbopump bearings needed a long time of about 20 years [7].
Today, ultra-high speed level above 100,000 rpm is required to make a small and light turbopump for advanced second-stage engine. These advanced research and development are actively underway. In Japan, a new type of hybrid ceramic bearing having Si3N4 balls with a single guided retainer demonstrated excellent performance at an ultra-high speed of 120,000 rpm (3 million DN) in LH2 and recorded the world’s top speed (in 2001) [8]. The result of this bearing was applied to the LH2 turbopump (rotational speed, 90,000 rpm) of the RL60 demonstrator engine (in 2003). The RL60 demonstrator engine was developed in the USA with international collaboration (USA, Japan, Russia and Sweden) and the LH2 turbopump was developed by a Japanese company [9]. In Europe, for the VINCI engine under development, high-DN hybrid ceramic bearing was tested in LH2 at a speed of 70,000 rpm (2.8 million DN) and continuous studies on a high-DN bearing was conducted at DN up to 3.3 million (120,000 rpm) in LH2 (in 2005) [10]. Furthermore, in Russia, for the developed RD0146 engine, its rotational speed of the main LH2 turbopump was 123,000 rpm (3.08 million DN), but detail of its bearing was unknown (in 2003) [11].
This chapter also reviews advanced bearings and shaft seals which were studied from the mid-1990 to the mid-2000 after the development of turbopump bearings and shaft seals of the LE-7 [4,5]. It is typical that a long-life bearing with single-guided retainer demonstrated a long operation for 12 hours under 50,000 rpm. A hybrid ceramic bearing having single-guided retainer and Si3N4 balls was able to demonstrate ultra-high-speed performance at speeds up to 120,000 rpm and show excellent performance under 3 million DN. An annular seal made of an Ag plated steel ring also presented two-phase seal performance at speeds up to 120,000 rpm.
These historical reviews are intended to help the technical succession to next young generation who challenges research and development of the future space transportation system. These reviews are based on previous studies carried out by Japan Aerospace Exploration Agency (JAXA) at Kakuda Space Center. All materials used in this chapter have been published by papers.
Figure 1.
Typical tribo-components and solid lubricants used in turbopumps
2. Bearings and shaft seals of turbopumps
2.1. Turbopumps and tribo–components
The LO2/LH2 turbopumps as well as the tribo-components, such as high-speed bearings and rotating shaft-seals, were studied and developed to use in the LE-5 and LE-7. In reference to the structure of the LH2 turbopump of the LE-7, the tribo-components and solid lubricants used in the LE-5 and LE-7 turbopumps are typically indicated in Fig. 1 [4]. In addition, main design parameters of the turbopumps and DN values of bearings for the LE-5 and LE-7 are listed in Table 1 [5]. Here, the DN value that represents high-speed level of bearing is defined as the product of the inner-race bore diameter D (in mm) and the pump rotational speed N (in rpm). The rotor speed is typically restricted by the DN limits of the bearing.
\n\t\t
\n\t\t
\n\t\t
\n\t\t
\n\t\t
\n\t\t
\n\t\t\t
Engine (thrust)RocketEngine cycle
\n\t\t\t
LE-5 (10 tons)Second stage of H-1Gas-generator cycle
\n\t\t\t
LE-7 (86 tons)First stage of H-2Staged-combustion cycle
\n\t\t
\n\t\t
\n\t\t\t
Turbopump
\n\t\t\t
LO2\n\t\t\t
\n\t\t\t
LH2\n\t\t\t
\n\t\t\t
LO2\n\t\t\t
\n\t\t\t
LH2\n\t\t\t
\n\t\t
\n\t\t
\n\t\t\t
Pump pressure [MPa] Pump flow rate [kg/s] Shaft rotational speed [rpm] Bearing DN [mm x rpm] Turbine pressure [MPa] Turbine temperature [K] Turbine gas flow rate [kg/s] Shaft power [kW] Weight [kg]
Design parameters of turbopumps and DN values of bearings for LE-5 and LE-7
For pre-burner in bracket; ( )*
LE-5 turbopumps
For the upper stage of the H-I rocket, the LE-5 had a gas-generator cycle with 10-ton thrust and its chamber pressure of 3.4 MPa was relatively low. Its engine cycle is not able to achieve a high engine performance due to an open cycle. For the LH2 turbopump of the LE-5, the pump discharge pressure was relatively low at 5.5 MPa and the discharge flow rate was 51 liters/s. The turbine pressure was 2.4 MPa. The paired bearings of 25-mm bore operated at a speed of 50,000 rpm (1.25 million DN) and sustained the shaft power of 490 kW [12].
For the LO2 turbopumps, the discharge pressure was 5.2 MPa and the discharge flow rate was 18 liters/s. The turbine pressure was 0.48 MPa. The paired bearings of 30-mm bore operated at a speed of 16,500 rpm and sustained the shaft power of 130 kW. Basic design and technology of the cryogenic tribo-components used in the small turbopumps was experimentally established under the development of the LE-5.
LE-7 turbopumps
For next technical challenge in the first stage engine of the H-II rocket, the LE-7 had a staged-combustion cycle (similar to that of the SSME) with 100-ton thrust and a high chamber pressure of 13 MPa. Its engine cycle can obtain high performance due to a closed engine cycle. For the high-pressure, large LH2 turbopump of the LE-7, the pump discharge pressure was increased to 27 MPa, and the discharge LH2 flow rate was 510 liters/s. The turbine pressure was relatively high at 20.6 MPa. The paired bearings of 35-mm bore were at the inducer side, and the paired bearings of 40-mm bore were at the turbine side. These bearings operated at a speed of 42,000 rpm (1.68 million DN) and sustained the shaft power of 19,700 kW [13,14].
For the LO2 turbopumps, the discharge pressure was 18 MPa for the main pump and 26 MPa for the preburner pump, respectively. The total discharge LO2 flow rate was 240 liters/s. The turbine pressure was 19.1 MPa. The paired bearings of 32-mm bore were located at the inducer side and the paired bearings of 45-mm bore were at the turbine side. These bearings operated at a speed of 18,000 rpm and sustained the shaft power of 4,700 kW [14,15].
Tribo-components in turbopumps
As shown in Fig. 1, it is important to prohibit severe friction and wear in cryogenic environment that various solid lubricants are applied to the frictional parts in static and dynamic tribo-components. Since the turbopums are operated under large power conditions connecting with high fluid and mechanical vibration, it must pay attention that many components in contact are sure to generate relative motion and resulted in severe adhesive conditions. It needs proper lubrication to avoid severe frictional adhesion of assembled parts used in cryogenic environment.
The rotor of turbopump is directly supported by two sets of self-lubricated ball bearings in cryogenic pump fluid. The shaft seal of turbopump is installed between the cryogenic pump and the hot gas turbine. The shaft seal system must seal the cryogenic propellants and the combustion gases (steam with rich hydrogen gas) safely and securely. High-speed components, such as bearings, shaft seals, Labyrinth seals, wear rings and balance pistons, used the proper solid lubricants to protect them from severe friction and wear in the reduction (LH2) or oxidation (LO2) environment of the cryogenic propellants. It is noted that these high-speed tribo-components are important life-controlling parts in engines [4].
2.2. Self–lubricating bearings
2.2.1. Self–lubrication of retainer
The turbopump bearings are all-steel (AISI 440C) bearings that are self-lubricated by the PTFE transfer film as a lubricant from the reinforced PTFE (polytetra fluoroethylene) retainer. AISI 440C is martensitic stainless steel (with 16-18%Cr) and is one of the most widely used bearing materials in space systems because such high-Cr steel has a high corrosion resistance due to a superficial surface layer of Cr2O3. The resin PTFE retainer is reinforced with glass fiber, carbon fiber and laminated glass cloth to reduce wear as well as thermal contraction of the retainer. Although PTFE material has poor mechanical strength at room temperature, it has the best lubricant for use at cryogenic temperature because its mechanical tensile stress drastically increases and reaches to 80 MPa in LO2 and 130 MPa in LH2, respectively. In order to reduce wear of the PTFE composite retainer with poor thermal conductivity, sufficient cooling of the retainer is need to eliminate heat generation detrimental to successful bearing operation at high speeds [16].
Since LH2 and LO2 are particularly poor as lubricants because of their low viscosity under conditions of reduction or oxidation, hydrodynamic fluid lubrication is less effective. It is noted that the cryogenic pump fluids works to remove severe frictional heat and to prevent the temperature rise in the bearing. At low temperatures, the PTFE transfer film as a lubricant is kept to be hard and to sustain the bearing load, so that softening and rupturing of the transfer film due to a rise in temperature have to be eliminated. Under poor cooling conditions, it appears that the blackened transfer film due to thermal decomposition of PTFE should occur at a high temperature above about 500 K, and the degraded transfer film was not able to sustain the bearing load. Therefore, sufficient cooling by cryogenic fluids, as well as reduction of frictional heat generation, is very important to produce a durable lubricant film transferred from the retainer even in cryogenic fluid [14].
2.2.2. High–speed and load conditions of bearing
For the turbopump bearings, angular-contact bearings are usually used in pairs in duplex mounts (back to back). For example, Table 2 shows main design parameters and internal load conditions for the bearings used in the LH2 turbopumps of the LE-5 and LE-7 [17,18]. In this table, the SVmax value (=Smax x Vmax/2) that represents the maximum product of stress times spinning velocity in the contact ellipse zone at the inner race are shown. Here, Smax is the maximum contact stress and Vmax is the maximum spinning velocity. The SVmax value is an important factor related to lubrication and wear at the inner race with ball spinning [13,19]. High SVmax value leads to high frictional heating and to wear of the PTFE transfer film due to spin wear. Under poor cooling condition and large tilted misalignment, the turbopump bearings have an initial contact angel of 15-25 deg. with a large radial clearance to prevent a loss of operating clearance from bearing seizer. As mention later, high-speed bearing has the outer-race ball control that produces high ball spinning at the inner race. In order to reduce the stress level within the spinning contact zone, race curvatures were controlled to be 0.54-0.56 for inner race and 0.52 for the outer race, respectively. The inner race has a counter-bore type to gain sufficient cooling within the bearing.
As the centrifugal force developed on the balls increases at high speeds, the operational contact angle at the inner and the outer races are changed to be different each other. The operational contact angle at the inner race increases rather than the initial contact angle and decreases to near zero at the outer race. This divergence of contact angles tends to increase ball spinning in addition to rolling at the inner race. Its spin velocity due to ball spinning becomes high and results in an occurrence of frictional heat generation. To contrast, rolling contact at the outer race generates differential slip due to curvature of contact ellipse [20].
\n\t\t
\n\t\t
\n\t\t
\n\t\t
\n\t\t\t
\n\t\t\t\tParameters\n\t\t\t
\n\t\t\t
\n\t\t\t\tLE-5\n\t\t\t
\n\t\t\t
\n\t\t\t\tLE-7\n\t\t\t
\n\t\t
\n\t\t
\n\t\t\t
\n\t\t\t\tBearing\n\t\t\t
\n\t\t\t
\n\t\t\t
\n\t\t
\n\t\t
\n\t\t\t
Dimension [mm] Pitch diameter [mm] Ball diameter [mm] Number of balls Initial contact angle [deg.] Initial radial clearance [μm]
Normal load at inner / outer races [N] Maximum contact stress at inner / outer races (Smax) [GPa] Maximum SV at inner race (SVmax) [N/mm2 x m/s]
\n\t\t\t
157 / 343 1.58 / 1.49 2.4 x 103\n\t\t\t
\n\t\t\t
176 / 637 1.54 / 1.63 3.1 x 103\n\t\t\t
\n\t\t
\n\t
Table 2.
Design parameters and internal load conditions for LH2 turbopump bearings of LE-5 and LE-7
Under the outer-race control connected with ball spinning at the inner race, heat generation due to ball spin is significantly higher than that of differentia slip, so that sufficient cooling is necessary at the inner race side. Furthermore, sliding velocity of the rolling balls in contact with the outer guide land and the ball pocket is high and resulted in a generation of frictional heating of the retainer. The bearings were effectively cooled by the pump cryogenic fluids circulating in the turbopumps. For example, Fig. 2 shows sliding frictional conditions of the inner and outer raceways for the 25-mm-bore bearing that is at a speed of 50,000 rpm under a thrust load of 980 N [16]. This bearing was used in the LH2 turbopump bearing for the LE-5. In this figure, the distribution of the contact stress, the spinning velocity and the SV value with spin at the inner race are shown. Pattern of spin wear generated by ball spinning becomes similar to the distribution of the SV value. To contrast, for the outer race, the differential slip velocity and the SV value with differential slip are light so that wear due to differential slip is small. Furthermore, for the retainer, the sliding velocity is 50 m/s at the ball pocket and 45 m/s at the outer guide land at a speed of 50,000 rpm, respectively.
For system design of the turbopump high-speed rotor, the thrust load applied on the rotor due to unbalanced fluid pressures is balanced automatically by a balance piston mechanism during operation [17]. As a result, the turbopump bearings can operate only with a spring thrust load to remove internal clearance and control radial stiffness. However, the shaft vibration as well as the fluid action around the impeller should add high dynamic radial load to the thrust load on the bearing. For example, the LH2 turbopump bearings of the LE-7 had to operate at a speed of 42,000 rpm that was beyond the third critical speed of 32,000 rpm and must support the high shaft-power under high shaft-vibration. Therefore, the bearings must have high combined radial and thrust load capacity at all extremes of the tutbopump operating conditions [14].
Figure 2.
Sliding frictional conditions at inner and outer raceways for LH2 bearing (25-mm bore, 50,000 rpm, 980 N)
2.3. Shaft seal systems
The required functions for shaft seal systems vary for different engine cycles. Similar to the SSME, the LE-7 has a two-stage combustion cycle. It requires a high pressure seal since the pressure in the pump and turbine is extremely high. To contrast, the pressure of the pump and turbine in the LE-5 with a gas generation cycle is comparatively low. Design parameters (the seal diameter, rubbing speed and seal pressure) for the seal elements used in the LE-5 and LE-7 turbopumps are listed in Table 3 [21]. The seal elements are the LO2 seal, LH2 seal, gas helium (GHe) purge seal and turbine gas seal. These shaft seals prevent or minimize the leakage of LO2 and LH2 for pump side and hot turbine gas (steam with rich hydrogen gas) for turbine side. In order to make a short length of the shaft, the shaft seals have to be compactly installed between the cryogenic pump and hot turbine.
\n\t\t
\n\t\t
\n\t\t
\n\t\t
\n\t\t\t
\n\t\t\t\tParameters\n\t\t\t
\n\t\t\t
Seal diameter [mm]—Rubbing velocity [m/s](Rotating speed [rpm])— Seal pressure [MPa]— Seal type
Design parameters for seal elements used in LE-5 and LE-7 turbopumps
(a) Mechanical seal, (b) Segmented seal, (c) Floating ring seal, (d) Lift-off seal
For the LO2 turbopumps, when the leakage of LO2 and hot turbine gas are mixed, an explosion will occur. In order to separate the leakage of LO2 and hot turbine gas in safety, the system is complicated and requires three types of seal elements (the LO2 seal, GHe purge seal and turbine gas seal). The GHe purge seal installed between the LO2 seal and turbine gas seal supplies GHe as a barrier gas. To contrast, for the LH2 turbopumps, the LH2 leakage can be discharged to the turbine side so that the seal system is relatively simple. However, the rubbing speed of the seal face becomes considerably high and the contacting seal face is opposite severe tribological condition.
For the low-pressure turbopumps of the LE-5, the LO2 and LH2 seals used face-contact mechanical seals to gain small leakage. The GHe purge seal and turbine gas seal used contact-type segmented seal. For the high-pressure turbopumps of the LE-7, the LO2 seal, LH2 seal and turbine gas seal used non-contact type, floating-ring seal (annular seal) due to high seal pressure. For example, the shaft seal system of the high- pressure LO2 turbopump of the LE-7 is shown in Fig. 3 [22]. The shaft seal system was set up between the cryogenic pumps and the hot turbine and prevented the mixing of the leakage of LO2 and hot turbine gas. The LO2 seal was composed of a floating-ring seal. The turbine gas seal used two floating-ring seals to seal the low temperature GH2 that made a barrier to the turbine hot gas. So that the turbine gas seal was kept at a lower temperature against the hot turbine section and the reliability of the shaft-seal system was further increased. Between the LO2 seal and the turbine gas seal, the segmented circumferential seal (GHe purge seal), that had shrouded Rayleigh step hydrodynamic lift-pads to increase opening force, was paired and purged with GHe to prevent mixing of the leakage of LO2 and GH2.
The LH2 seal system of the high pressured LH2 turbopump was assembled with the floating-ring seal and lift-off seal. The lift-off seal is similar to a face-contact mechanical seal and is in contact with the mating ring (rotating seal-ring) and its leakage is small when the seal pressure is low. As the rotational speed of the turbopump increases and the seal pressure becomes high, the seal faces are automatically disengaged from contacting and changed to be non-contact seal [21].
Figure 3.
Shaft seal system for high-pressure LO2 turbopump of LE-7
LH2 is a particularly poor lubricant due to its extremely low viscosity (approximately equal to that of room-temperature air) and chemical reducing effect to remove native oxide film and to make fresh frictional surface, resulting in a severe lubricating condition at the frictional interfaces. Furthermore, at extremely low temperatures in LH2, the specific heats and thermal conductivities of tribo-materials drop off rapidly rather than those at the liquid nitrogen (LN2, boiling point 77 K) temperature. At a high temperature in LN2, the specific heats and thermal conductivities are less changed and same as those at a room temperature. In addition with vaporization of LH2, it is easy to produce local hot spots at frictional interfaces, so that frictional condition resulted in severe adhesive (welding) wear in LH2.
LO2 has high oxidization power and forms oxide film at frictional surfaces, so that oxide film produces lower friction compared with that in LH2; however, in boiling of LO2, oxide wear should increase due to high oxidization power. Active cooling is important to prohibit boiling of LO2 at frictional interfaces. Furthermore, violent frictional heating in LO2 can lead to the ignition of tribo-elements due to burn-out phenomenon occurring in nucleate boiling, that is defined by engineering heat transfer. Under burn-out phenomenon in boiling, an extreme rise in surface temperature was experienced because a marked reduction occurred in heat transfer. For example, in boiling of LN2, the sliding surface of Ag-10%Cu alloy (melting point 1,155 K) against Ti alloy (Ti-5Al-2.5Sn) melted due to burn-out wear during friction test [24]. The surface coating of TiN or TiO2 had a high resistance to adhesive welding to the Ti alloy disk was able to protect from burn-out wear. The results were applied to the balance-piston system in the LH2 turbopump of the LE-7.
Figure 4.
Friction and wear of PTFE pin against 440C disk in cryogenic GO2 as a function of pin temperature
Figure 5.
Friction and wear of PTFE pin against oxidized 440C disk in cryogenic GO2 as a function of pin temperature
It is noted that the tribo-characteristics at cryogenic temperatures tend to change complexly. For example, Fig. 4 shows the change of friction and wear of a PTFE pin against a 440C steel disk in cryogenic gaseous oxygen (GO2) as a function of pin temperature [23,25]. This figure denotes the glass transition temperature of PTFE, about 170 K, 230 K and 260 K, those are defined by relaxation of its amorphous layer in the PTFE band structure. When the frictional environment changed from the liquid phase to the gas phase at boiling, the friction coefficient increased drastically and wear began. To the glass transition temperature of 170 K (amorphous layer begins to relax), the friction coefficient remains at a low constant value, but the specific wear drastically decreased at 170 K. In an inert gaseous nitrogen (GN2), there was not such drastically decrease in the specific wear at 170 K. After that, friction and wear begin to increase gradually up to 230 K. The increase of friction and wear above 170 K surely depends on the fact that the strength property of PTFE begins to decrease rapidly above 170 K.
However, when the surface of 440C steel was oxidized, the characteristic curve of friction and wear depended on cryogenic temperatures was changed drastically. Figure 5 shows the change of friction and wear of a PTFE pin in case of using an oxidized 440C steel disk [23,25]. At the pin temperatures above boiling point of LO2 (90 K), the friction and wear of PTFE pin showed relatively high values as compared with that showed in Fig. 4. As the pin temperature increased from 90 K to near 170 K, the friction and wear of PTFE drastically decreased to low values. The oxidized 440C steel disk was obtained by heating in air at about 623 K for 3 hours. The surface of the oxidized 440C showed an increase of FeO/Fe2O3 film in comparison with Cr2O3 film. It is noted that the oxidization of 440C steel should result in an increase of friction and wear of PTFE. It seems that PTFE transfer film was less formed due to poor adhesion of PTFE against FeO/Fe2O3, and frictional condition became to be severe. Thus, it is very interesting that the friction and wear properties of PTFE changed characteristically at its glass transition temperature, depending on the oxidization of 440C steel.
For other friction tests, wear of PTFE in cryogenic GO2 was increased as surface roughness of 440C disk was increased; however, in cryogenic GN2, surface roughness had less effect on wear increase of PTFE. Furthermore, friction and wear of PTFE against Si3N4 disk was determined in cryogenic GO2 and GN2. In both cryogenic environments, friction coefficient was higher than that of 440C disk. It was noted that wear of PTFE in GO2 was drastically high compared with that in GN2. It was assumed that poor formation of PTFE transfer film on the SI3N4 disk resulted in an increase of friction and wear in GO2. This result indicated that the hybrid ceramic bearing with Si3N4 ball showed poor self-lubrication in LO2.
It is interesting to use ceramic material as tribo-materials in cryogenic environments. Friction and wear behavior of typical fine ceramics against 440C disk were evaluated in LO2 and LN2. Figure 6 and 7 show wear and friction of five kinds of the ceramic balls in comparison with those in LO2 and LN2 [23], respectively. In all the cases of friction tests, the sliding contact surface of ceramic pin was covered by the transfer film of wear debris of 440C steel. The metallic transfer film prevented direct contact between metal and ceramic. As a result, the metal-to-metal contact should control the friction and wear behavior of the sliding pair, and the order of friction seemed to be less affected in the wear resistance of ceramic pins.
In LO2, Al2O3 indicated the lowest wear rate and was followed by SiC, Si3N4, Sialon and ZrO2 in order of the wear resistance. For Al2O3 pin, the metallic oxide film of 440C seemed to be strongly adhered onto the ceramic pin and resulted in an increase of protection of the pin wear; however, wear of the 440C disk was prolonged. For SiC, Si3N4 and Sialon, sliding friction in oxidized environment made the glassy formation of SiO2 film due to tribo-chemical reaction. The hardness of SiO2 is much less than that of ceramic substrate and resulted in an increase in the wear of ceramic pins. It was noted that the wear rate of ZrO2 was considerably high as similar to that of self-mated 440C steels. Since ZrO2 has the lowest hardness compared with other ceramics, the hard oxide film of 440C should increase wear of ZrO2 pin.
To the contrary, in LN2, Zr2O3 indicated the lowest wear rate and was followed by Si3N4, Sialon, Al2O3 and SiC in order of the wear resistance. The high wear of Al2O3 and SiC pins was seemed to be induced by lack of protective film of 440C steel due to weak adhesion to ceramic pin. It is found that the order of wear resistance of ceramics against 440C steel in LO2 was opposed to that in LN2 [23].
At cryogenic temperatures, it is noted that sufficient cooling and the restriction of frictional heat generation are essential to prohibit severe tribological conditions. In order to solve these cryogenic tribological problems, it is important that (1) understanding the complex characteristics of tribology at low temperatures, (2) selection of the proper solid-lubricants against the oxidation or reduction power, and (3) active cooling to remove severe frictional heat at local hot spots [4].
Figure 6.
Wear of five kinds of the ceramic balls against 440C disk in LO2 and LN2
Figure 7.
Friction of five kinds of the ceramic balls against 440C disk in LO2 and LN2
4. High–speed bearings
4.1. Improvement of self–lubrication of retainer [16, 17, 18, 26, 27]
In the beginning of the development of the turbopump bearing for the LE-5, the bearing had used the composite PTFE retainer reinforced with glass fiber or carbon fiber. The bearing tested in LH2 by using a bearing tester showed that the glass fiber-reinforced PTFE retainer (24 wt.% glass fiber and additive) could demonstrate stable bearing-torque performance as compared with that of the carbon fiber-reinforced retainer (15 wt.% carbon fiber). From inspection of the ball-pocket surface of the carbon fiber-reinforced retainer, it was found that pile-up of the wear debris of carbon fiber might reduce supply of PTFE transfer film to ball surface. As a result, the LH2 turbopump bearing selected the glass fiber-reinforced PTFE retainer; however, the real turbopump test showed severe wear of the retainer when the turbopump was operated under poor cooling conditions. This fact indicated low wear resistance of the glass fiber-reinforced PTFE retainer under severe operation of turbopump [16,17].
For the rocket-turbopump bearings, a laminated glass cloth with PTFE binder (laminated glass cloth of 45 wt.% and PTFE of 55 wt.%) was currently used because of its great strength to protect against dangerous retainer rupture [4,17]. This retainer showed poor self-lubrication resulting from abrasion by glass cloth layers exposed on the ball-pocket surface. During the development of the LH2 turbopumps for the LE-5, the bearing showed unstable high-temperature rise and poor lubrication was observed, resulting in severe wear of the balls. In case of the reusable turbopumps used in the SSME, the bearings similarly experienced a serious wear problem [6]. In order to improve the self-lubricating performance of the retainer, special surface treatment of the retainer was developed [12,18]. The abrasive retainer surface with the exposed glass cloth was chemically etched with hydrofluoric acid (HF) to a depth of 0.10-0.15 mm. Following this treatment, smooth surface for the retainer was obtained. The sliding friction and wear between the ball and ball-pocket surface was reduced, resulting in a sufficient supply of PTFE transfer film from the retainer to the rolling balls.
For the HF etched retainer tested in LH2, detailed examination of the transfer film on the sound ball surface with hardly any wear was conducted by electron probe microanalysis (EPMA) [12]. The result indicated that F of PTFE of the retainer strongly depended on the Ca concentration on the map and resulted in the tribo-chemical formation of CaF2 transfer film. The reacted oxide material (49 wt.% of glass fiber) consisted mainly of an oxide of Ca (CaO) remained on the HF etched retainer surface. Therefore, it seems that the formation of CaF2 transfer film was conducted by tribo-chemical reaction between F of PTFE and CaO remained on the retainer surface in chemical reduction environment in LH2.
Figure 8.
Wear of PTFE composite pins with various fillers against 440C disk in cryogenic GO2 (123 K) under high-sliding speed (10 m/s)
In order to determine the effect of tribo-chemical formation of CaF2 in transfer film, additional friction tests were conducted. Figure 8 shows the wear of PTFE composite pins with 15 wt.% of various fillers against the 440C disk in cryogenic oxygen gas (GO2, 123 K) under a high sliding speed (10 m/s) [15]. The PTFE composites with CaO and MgO fillers showed excellent wear resistance (progression of the pin-wear was stopped) due to the formation of good transfer film even in both cryogenic GO2 and GN2 (123 K). It seems that alkali-earth-metals such as Ca and Mg were able to react easily with F by severe dry sliding friction and resulted in the formation of CaF2 and MgF2 within the transfer film [4]. The tribo-chemical formation of CaF2 and MgF2 might enhance adhesion of transfer film. When CaF2 and MgF2 added as fillers to PTFE, there was no tribo-chemical reaction, resulting in poor wear resistance. Furthermore, oxidation of the Mo filler in GO2 seemed to be extremely effective except in GN2.
4.2. Development of elliptical ball–pockets of retainer [13, 14, 26]
During testing of the LH2 turbopump for the LE-7, the conventional bearings using a retainer with circular pockets showed a significant temperature rise under high shaft vibration. Since high shaft vibration increases the radial load applied to the bearings, ball excursion occurring in the ball pockets of the retainer due to ball-speed-variation (BSV) becomes significantly large. Figure 9 shows the ball excursion due to the BSV vs. the radial load for the 40-mm-bore bearing at a speed of 42,000 rpm [13]. The ball excursion tends to increase with increasing of the radial load. At a radial load of about 1.5 times thrust load, the ball excursion reaches a maximum value. When the pocket clearance of the retainer is smaller than the maximum ball excursion, severe contact occurs between the ball and the retainer pocket.
Figure 9.
Ball excursion due to BSV vs. radial load for LE-7 LH2 bearing at 42,000 rpm (40-mm-bore bearing)
Figure 10.
Circular and elliptical pockets of retainer and ball pocket clearances for 40-mm-bore bearing
For the 40-mm-bore bearing, a retainer having elliptical pockets with a large pocket clearance was developed. As shown in Fig. 10, this retainer with elliptical pockets is able to allow maximum ball excursion due to BSV in the circumferential direction and to stabilize wobbling of the retainer due to a narrow clearance in the axial direction [13]. The pocket clearance of 1.8 mm was twice as large as that of the conventional circular pocket. Consequently, the LE-7 turbopump bearings with the elliptical-pocket retainer exhibited excellent performance by reducing severe frictional heating and high wear of bearing components at a high-speed level of 50,000 rpm (2 million DN). Basic study of the elliptical pocket of the retainer was conducted in the development of the LE-5 turbopump bearing [12,17].
During the development of the LE-7A, the LH2 turbopump experienced severe operation with high vibration of the rotating shaft. As a result, high vibration of the rotating heavy turbine-disk increased radial load at the turbine-side bearings (40-mm bore) and broke the retainer due to large BSV [26]. It was considered that the ball-retainer contact force due to BSV bent the retainer and hoop stress occurred on the retainer inside, resulting in fracture of the thin (weak) web section of the ball pocket. In order to gain high reliability of the LH2 turbopump, the retainer using elliptical ball pocket was improved by increasing the pocket clearance to 2.2 mm.
Figure 11.
Maximum ball excursion vs. tilted misalignment under various thrust loads at 50,000 rpm (40-mm-bore bearing)
Figure 12.
Maximum ball excursion and tilted misalignment vs. thrust load at 50,000 rpm (40-mm-bore bearing)
Such BSV was also caused by inclination of the outer race to the shaft (tilted misalignment). The effect of tilted misalignment in a level of 1.9-3.5 x 10-3 mm/mm on the tribo-characteristics of 40-mm-bore ball bearing was determined. The bearing used a retainer having various elliptical ball pockets to restrain the ball-retainer contact due to high BSV. The elliptical ball pocket changed the pocket clearance (1.75mm, 1.95 mm and 2.15 mm). Figure 11 shows the relationship of the tilted misalignment and the maximum ball excursion under various thrust loads at a speed of 50,000 rpm [26]. It is understood that maximum ball excursion increased with an enlargement of tilted misalignment.
Figure 12 shows the relationship of the maximum ball excursion and the tilted misalignment vs. the thrust load at a speed of 50,000 rpm [26]. The relationship of the maximum ball excursion vs. the thrust load was calculated by assuming that the tilted misalignment linearly increased with an increase of the thrust load. As the thrust load increased, the calculated maximum ball excursion tended to increase in a parabolic pattern. It was found that, in case of the pocket clearance of 1.95 mm, ball-retainer contact due to ball excursion possibly occurred within a limited range of thrust loads, resulting in high increase of bearing torque and bearing temperature.
Figure 13.
Load capacity of transfer film under inner race ball-spinning in LH2
4.3. Performance of LH2 bearing [12, 13]
Performance of self-lubricating bearing coated with PTFE or MoS2 films was evaluated for the LH2 turbopump bearing of the LE-5. The PTFE and MoS2 films were coated with rf-sputtering. Bearing test was conducted for about 2 hours at a speed of 50,000 rpm in LH2. Frictional heating was estimated from the temperature rise of cooling flow through the test bearing [12]. The coated films are hoped to induce smooth running in the initial operation when the amount of the PTFE transfer film is insufficient. The high self-lubricating performance and durability were experimentally confirmed with the PTFE coated bearing indicating frictional heating of 170-250 W. For the MoS2 coated bearing, the frictional heating was 250-330 W and relatively high. The retainer of the PTFE coated bearing showed less ball-pocket wear than that of the MoS2 coated bearing.
For high-speed bearings, since the bearing was under the outer-race ball control at high speed, the transfer film of the inner raceway was damaged due to the spinning of the ball. In order to evaluate stable operating condition without bearing damage, the load capacity of the transfer film under inner race ball-spinning in LH2 was determined as shown in Fig. 13[13]. This figure shows the critical load capacity, that is, maximum Herze stress (Smax) vs. maximum spinning speed (Vmax). Under high thrust loads, an increasing of the bearing torque and bearing temperature (at limit A) was determined by the bearing tester which could measure the bearing torque in LH2. The film local rupture (at limit B) was also defined by the electrical resistance monitoring between the inner race and outer race. Up to a Vmax of 5 m/s at 50,000 rpm, the transfer film was able to sustain a Smax up to 2 GPa. It was determined that the load capacity of the transfer film depended more on Smax than on Vmax. So, in order to increase durability of the bearing, it is important to limit the stress level to a Smax of 2 GPa to prevent transfer-film rupture and sufficiently to cool the frictional heat due to high Vmax.
4.4. Durability of LO2 bearing [15]
It is noted that violent frictional heating in LO2 can lead to the ignition of tribo-elements due to burn-out phenomenon. Burn out is overheat occurring in a transition from nucleate boiling to film boiling at critical heat flux that is defined by engineering heat transfer. For the LO2 turbopump bearings (32-mm and 45-mm bore) of the LE-7, the durability and fatigue life were evaluated by applying heavy radial loads at a speed of 20,000 rpm in LO2 or LN2. During testing, the bearing-cartridge-acceleration (BCA), i.e., Gpk (peak value) and Grms (rot-mean-square value), was monitored to detect bearing damage. Testing in LO2 for about 2.2 hours under a system radial load of 5,880 N showed that excellent lubricating conditions without abnormal BCA were obtained for all bearings.
Durability test in LN2 (to keep safety in the experience) under a heavy system radial load of 11,760 N was conducted at a speed of 20,000 rpm for about 5.1 hours [15]. The result detected that the fatigue life of the bearing was about the same as the calculated B10 fatigue life. The bearings were operated at steady conditions for 5.1 hours with 20 start-stops. For BCA on bearings A/B, Gpk and Grms on the chart were abnormally separated from each other in a pattern of abnormal BCA showing an increase of surface roughness due to an occurrence of slight flaking. Then, at a total test time of 3.8 hours, the loaded and unloaded BCA abnormally began to increase concomitantly. Examination of tested bearing B indicted that slight flaking with very shallow depth (about 8.5 μm) was observed on the inner raceway.
4.5. Evaluation of turbopump bearings [14]
The durability of the bearings of the LO2/LH2 turbopumps used in the firing tests of the LE-7 was evaluated based of findings of wear inspection and X-ray photoelectron spectroscopic (XPS) analysis of PTFE transfer film. Inspection of the turbopump bearings used in the engine firing tests is essential for evaluation of their durability under engine operation.
Bearing wear
After the engine firing test, surface profiles of the raceways of the LH2 turbopump bearings was evaluated [14]. The engine test was conducted for a total time of 31.4 minutes with 20 engine start-stops. The surface profiles included the thickness (1μm) of the initial film coatings of sputtered PTFE film. It is obvious that the wear scars on the raceways of all bearings were flat and spin wear was not observed despite conditions of higher ball spinning on the inner raceway. For the retainer with elliptical pockets, the wear depths in the pockets were smaller than the depth (0.10-0.15 mm) of chemical etching of the glass cloth. The PTFE layer without the abrasive glass cloth sufficiently remained at the bottom of the pocket wear scar.
To contrary, the all inner raceways of the LO2 turbopump bearings showed typical spin wear with light oxidative wear [14]. These turbopump bearings tested for a total time of 34.6 minutes with 23 engine start-stops. The surface profiles included the thickness of the initial film coatings of sputtered PTFE film (1 μm) on Ion-plated Au film (0.4 μm). The wear depths of raceways seemed to be relatively high; however, smooth surface roughness demonstrated mild wear without severe adhesion due to metal-to-metal. For bearing D that was affected by turbine whirling with radial overload, heavy spin wear with a wear depth of 7 μm was generated on the inner raceway. Furthermore, slight flaking was observed on the inner and outer raceways. This flaking was characterized by a very shallow depth and by fractures on the surface.
For the retainer with conventional circular pockets, the wear depths in the pockets were relatively light compared with those of the LH2 bearing. The contact area in the retainer pocket and on the ball surfaces was blackened by the thermally degraded transfer film. The degradation of the transfer film seemed to occur at a temperature above about 500 K. This was confirmed by a heating test of the retainer. These facts indicated that the transfer film was severely heated even in cryogenic fluid and the LO2 turbopump bearings were operated under poor cooling conditions. Thus, to increase the durability of the bearings, it is apparent that sufficient cooling is essential.
XPS analysis of transfer films
In order to evaluate the excellent lubricating conditions without severe wear, XPS depth analysis of a transfer film on a ball used in the LH2 turbopump bearing of the LE-7 was conducted. Inspected ball that showed excellent wear condition was from the turbine-side bearing tested for 31.4 minutes in engine tests. The XPS depth analysis with an etching depth of 30 nm (SiO2 rate) indicated that F(1s) and Fe(2p) spectra show the significant formation of thick CaF2 and FeF2 film as shown in Fig. 14 [4]. It seemed that, due to the reduction power of LH2, the reacted CaO (remained on the retainer surface chemically etched with HF) was tribo-chemically changed to CaF2 with the F of PTFE retainer during bearing operation. In addition, due to removing of native oxide film by the LH2 reducing power, a FeF2 film was formed by a chemical reaction between the F of PTFE retainer and the Fe of 440C steel. It is noted that the formation of FeF2 film at the stressed contact area resulted in demonstrating high resistance to metal-to-metal adhesion and in leading to less wear [27].
Thus, the LH2 turbopump bearings used in the engine firing tests demonstrated excellent performance due to the formation of thick CaF2 and FeF2 film. The tribo-chemical formation of CaF2/FeF2 film possibly reduced wear at frictional interfaces within the bearings used in LH2. The basic tribo-chemical reaction was determined as follows [4]:
(-CF2-)n+ CaO + Fe→(-CF2-CO-)n+ CaF2+ FeF2E1
Figure 14.
XPS depth analysis of ball for LH2 turbopump bearing (turbine side)
On the contrary, for the LO2 turbopump bearings of the LE-7, the inspected ball was from the turbine-side bearing that was tested for 34.6 minutes in engine tests and showed heavy spin wear. Figure 15 shows the XPS depth analysis with an etching depth of 30 nm (SiO2 rate) for the worn ball due to spin wear. It indicated that the oxidization power of LO2 prohibited the tribo-chemical formation of CaF2 /FeF2 transfer film. This bearing was operated under poor cooling conditions, so that the bearing wear was relatively increased and shallow flaking was formed on the raceways. From the F spectrum, it was shown that very thin PTFE/CaF2 transfer film was formed compared with the thick PTFE/CaF2 transfer film in the LH2 bearing. Furthermore, from the Fe spectrum, formation of Fe2O3 oxide film was typically shown. Fe2O3 oxide film was apt to form at elevated temperature, so that the oxidative mild wear in the bearing was increased due to poor cooling conditions in LO2 [5]. As mention later (in 6.1.1), for the bearing tested under sufficient cooling condition, the intense formation of Cr2O3 film without Fe2O3 film was found beneath an extremely thin PTFE film, resulting in high resistance to metal-to-metal adhesion and in a decrease of the bearing wear [28].
Figure 15.
XPS depth analysis of ball for LO2 turbopump bearing (turbine side)
Figure 16.
Face-contact mechanical seal for LH2 turbopump of LE-5
5. Turbopump shaft seals
5.1. Mechanical seal [29-34]
For the LE-5 turbopumps operating under the gas generator cycle, the contact-type mechanical seal was able to use for the propellant seals because the pump and turbine pressures were relatively low. Specially, for the LH2 turbopump, a high-speed mechanical seal was required to withstand high rubbing speed (113 m/s) at a speed of 50,000 rpm in LH2. Figure 16 shows the face-contact mechanical seal with a seal diameter of 43.2 mm developed for the LH2 turbopump of the LE-5 [29,30]. In order to reduce seal leakage of LH2, it has a modified seal nose that could reduce the seal face distortion and control the direction of its distortion (to contact at outside of the seal face) under low temperature and high pressure. Furthermore, a modified vibration damper made of PTFE sheets is attached around the seal nose to prevent fluttering during rapid start or stop of the turbopump.
When the closing force to contact seal faces is increased to make seal leakage smaller, wear rate of the seal faces is increased due to the poor lubrication of LH2. If the closing force is set to be smaller than the fluid opening force separating seal face each other, the leakage is considered to be quite large because of the extremely low viscosity and density of LH2. Therefore, to obtain the stable seal performance and the long wear life, it is important that the proper balance between the closing force and the opening force is retained.
Critical value of the seal balance ratio that obtained stable seal performance and reduce wear of the seal faces was experimentally and analytically evaluated [32,33]. In this study, the experimental and analytical study on the friction power loss and seal performance was conducted. It was indicated that the friction power loss fell to a small value after the seal faces were sufficiently run-in. The seal balance ratio [B] that stabilized seal performance was in a range of 0.77-0.82. The seal balance ratio [B] is determined by the following equation;
[B]=B+Fsp/(AsΔP)E2
where, B is the fluid balance ratio, Fsp is the spring force of bellows, As is the seal area and △P is the seal pressure. [B] is determined by the initial spring force of the bellows.
When the seal balance ratio was below 0.77, the leakage was apt to increase due to lack of the closing force. In this case, the critical balance ratio [B]c that gains stable seal performance showing small leakage was 0.77. To contrast, its balance ratio above 0.82 increased wear of the seal face by rise of the closing force. This high value of critical balance ratio was due to large opening force that could be explained with leakage flow model, assuming the phase change of leakage (from liquid phase to gas-liquid phase and gas phase) due to viscous frictional heating at high rubbing speed. In this phase change model, a state change of gas was assumed to be irreversibly adiabatic and a curve of gas expansion expressed by the following equation;
Pvm= constantE3
where, P is the pressure, v is the specific volume and m is the ausfluss exponent. As m decreases with the temperature rise of gas due to viscous friction, the pressure of leakage flow increases particularly in the gas region within gas-liquid phase, and it resulted in the increase of the opening force. The analysis of phase change model of leakage was conducted using the flow and energy equations of liquid and gas leakages.
Figure 17 shows the calculated and experimental results of the relationship between the seal clearance and the opening force ratio [K] at a speed of 50,000 rpm in LH2. The opening force ratio [K] is expressed by the following equation;
[K]=Fo/(AsΔP)E4
where, Fo is the opening force. It was also shown that the opening force within seal clearance increases linearly as the seal clearance decreases. After the seal faces were sufficiently run-in and the seal clearance was maintained in an average of 0.6 μm, the opening force ratio [K] approaches the critical balance ratio [B]c (= 0.77) that showed critical seal performance. As a result, the difference of [K] and [B]c was decreased and it resulted in the reduction of the load on the seal faces. The frictional loss power was decreased to a small value, resulting in a restrain of wear rate of seal faces. If the seal clearance increases, the leakage becomes large; however, the load on the seal faces is increased with the decrease of the opening force and the seal clearance would become small enough to reduce leakage. Furthermore, the starting torque and static seal performance were markedly affected by the change of the seal face distortion due to wear [31].
Durability of the mechanical seal was evaluated by the long-run test [29]. The long-run test was conducted at a speed of 50,000 rpm with a seal pressure of 1.37 MPaG for 83 minutes. The experimental results showed that the leakage gradually increased until total test time was 50 minutes. During its step, wear of the seal faces was running-in, then the leakage was stabilized. It is noted that an extremely small LH2 leakage (8-19 cc/min) was kept during test. The seal after the durability test indicated an excellent condition that maximum wear of carbon-ring was 8 μm.
Temperature on the rubbing seal faces was estimated from the reduction rate of the hardness of hard Cr plating on the rotating mating ring [34]. The estimated temperature of rubbing seal face was possibly reached to be about 773 K at a rubbing speed of 113 m/s in LH2. In an initial stage of running-in, extremely high temperature of the seal faces caused thermal cracks in wear surface of the Cr plating, so that it is necessary to cool the contacting seal faces sufficiently. When the cooling of the sealing unit is insufficient, the surface of the carbon seal ring showed abnormal wear. Furthermore, the Cr plating showed better wear results than the tungsten carbide (WC) coating, because the Cr plating easily forms thin transfer films of graphite contained in the carbon. In the case of the WC coating, the transfer film of graphite was hardly formed in LH2, resulting in an occurrence of severe seal wear.
Figure 17.
Opening force ratio [K]\n\t\t\t\t\t\t\tvs. seal clearance at 50,000 rpm in LH2
5.2. Floating ring seal [22, 29, 35, 37]
A floating-ring seal is a type of no-contact annular seal without a rubbing seal surface. It has a simple structure and is able to seal high-pressure fluids, restraining leakage through a small clearance (gap) between the seal ring and the runner. Its gap is in an order of several dozens of μm. The seal ring is free to move in the radial direction, and thus severe contact with the rotating runner can be prevented. Leakage of floating-ring seal is much larger than that of face-contact mechanical seal, but the floating-ring seal shows a high resistance to pressure and a high reliability when used as high-pressure seal. A multi-seal system consisting of several seal rings arranged in series is employed for the high-pressure turbopumps. The floating-ring seals were developed and used in the LE-5 and LE-7.
Figure 18 shows the floating-ring seal with a seal diameter of 50 mm developed for the LO2 turbopump of the LE-7 [22,35]. The carbon seal ring is enclosed with a retainer of the same material as the seal runner. Since the retainer contracts thermally nearly as much as the seal runner at low temperature, the seal gap hardly changes. The seal gap was 50-60μm. When the seal pressure increases, the floating ring is pressed against the secondary seal by the fluid force and its movement in the radial direction is restrained. In order to smooth the radial movement of the floating ring, on the secondary seal of the housing, the PTFE film was coated for the LO2 seal and the MoS2 film was coated for the turbine gas seal (to seal the low temperature GH2). For the GH2 leakage of the floating-ring seal used in the turbine gas seal, leakage rate calculated by the quasi-one-dimensional compressible flow equation agreed quite well with experimental value.
Figure 18.
Floating ring seal for LO2 turbopump of LE-7
The leakage from the floating-ring seal for the LH2 and LO2 seal can be calculated from the equation of the incompressible fluid flow in the rotating double cylinders when the leakage is liquid phase flow and the mass flow flux (mass flow/seal area in the flow direction) is large [29,35]. When the seal gap is narrow and the seal pressure is low, the mass flow flux of leakage is reduced, and vaporization of leakage occurred by viscous frictional heating and pressure drop changes liquid phase flow to gas-liquid phase flow (two-phase flow).
Comparison between the experimental and calculated leakage of LH2 was evaluated by the mass flow flux of leakage for the floating-ring seal with one seal ring or two seal rings [29]. In this study, the LH2 seal with a seal diameter of 32 mm and various seal gap of 30-86 μm was tested at rotating speeds to 50,000 rpm. It is shown that the leakage of LH2 is less than the calculated value from incompressible fluid flow equation because the leakage is changed to be tow-phase flow. When the mass flow flux is large, most of leakage flows out in liquid phase. This means that there is not sufficient time to vaporize the leakage to be tow-phase flow within the seal gap.
A flow visualization study of floating-ring seal was conducted to identify the two-phase flow area induced by viscous frictional heating and pressure drop [36]. In order to visualize the two-phase flow in seal gap, the floating ring made of transparent hard plastic (polycarbonate) was tested in a seal fluid of LN2. It was confirmed that the two-phase flow seemed to be homogeneous mixture of liquid and vapor flow and the two-phase flow area increases with increasing rotational speed and decreases leakage flow rate. When the two-phase flow area was fully prolonged within the seal gap, the leakage rate contrary increased with instability because the inlet flow resistance at the high-pressure side of the seal ring was reduced by two-phase flow.
5.3. Segmented seal [22, 35, 37, 38]
Contact-type segmented seal were used in the GHe purge seals and the low pressured turbine gas seals. The GHe purge seal used in the LO2 turbopump of the LE-7 is shown in Fig. 19 [22]. Segmented seal has a carbon seal ring cut into three segments. The segmented annular seal ring is pressed on the seal runner with a coil spring and maintains high purge-pressure of GHe as a barrier gas. Wear of the carbon seal ring is reduced by using the shrouded Rayleigh step lift-pads to increase the opening force within the seal clearance. As the rubbing speed increases, the opening force in the Rayleigh step increases, so that the rubbing speed is increased by enlarging the seal diameter using a T-type runner.
Relationship between the purge pressure and the leakage rate of GHe purge seal was evaluated at a steady speed of 20,000 rpm [22]. When the purge pressure is low, the seal face is kept to be non-contact because the Rayleigh step increases the seal opening force. As the purge pressure is set to be high, the seal face condition is changed from the non-contact state to the contact state, it resulted that the dynamic leakage almost equals that of the resting state. Furthermore, for the GHe purge seal combined with the LO2 floating-ring seal, the environmental temperature around the GHe purge seal was equal to that of LO2 leakage, so that the carbon seal ring showed severe wear with an appearance of worn-out of the Rayleigh step.
Figure 19.
GHe purge seal for LO2 turbopump of LE-7
Figure 20.
Comparison of wear of MoS2 coated and uncoated seal surfaces
Change of the friction and wear of the carbon pin as a function of the pin temperature was determined in the cryogenic GHe environment [23]. Friction test was conducted against the Cr-plated steel disk at a sliding speed of 12 m/s and load of 9.8 N. When the pin temperature is below the solidification temperature of CO2 (216 K), it is noted that lubricating property of the carbon pin suddenly disappeared and friction and wear became intensive. When absorbed CO2 gas was changed to be solid phase, lubricity of carbon was lost. This phenomenon resembles that when phase of moisture is transfer to solid phase (ice) below 273 K, lubricity decreases; be well known. From this fact, it seemed that severe wear of the GHe purge seal was generated because the environmental temperature around the seal was lower than 216 K. Spray MoS2 coating on the carbon seal face was drastically able to prohibit progression of wear of the carbon seal ring at low temperature, as shown in Fig. 20.
After a total operating time of 29 minutes for the engine firing test, the GHe purge seal used in the LE-7 indicated that the seal surfaces coated by MoS2 were found to be in excellent condition and wear depth of the carbon seal ring was about 7 μm. It assumes that high opening force produced by the Rayleigh step was kept by prohibit of wear of the Rayleigh step and the GHe purge seal was operated under conditions of nearly no load on the seal surfaces due to balance between the opening and closing forces.
6. Advanced bearings and shaft seals
Future space transport systems require reusable launch vehicles to reduce launch cost and to increase efficiency. The durability of reusable turbopump bearings must be greater than that of currently available (expendable) turbopumps. For the improved high-pressure LO2 turbopump of the SSME that reduced serious wear of the all-steel bearing, the hybrid ceramic bearing with Si3N4 balls was developed and accomplished the required life of 7.5 hours. In this case, to improve self-lubrication of the abrasive retainer made of glass cloth-reinforced PTFE, a new type of the retainer that had PTFE/bronze-powder insert fitted on the ball pocket was developed [7].
It is noted that, at high speeds, the hybrid ceramic bearing that consists of hard, light weight ceramic balls as well as steel rings shows a lower centrifugal force on the ceramic ball. The centrifugal force of the Si3N4 ball makes about 60 % lighter than that of the 440C steel ball. This leads to a reduction of bearing load and a smaller contact area with a lower spinning speed, resulting in a low level of heat generation due to ball spin. Additionally, good tribological combinations of the ceramic balls against the steel rings result in a decrease in bearing wear and in instances of seizure, even under insufficient lubricating conditions. Thus, the hybrid ceramic bearing enables higher speed operation rather than the all-steel bearing.
On the other hand, advanced rocket engines that are characterized by high performance (light weight) and high durability (long life) are required today. Ultra-high speed turbopump having a rotational speed level of 100,000 rpm needs to make engine smaller and lighter. Hybrid ceramic bearing is suitable to ultra-high speed turbopump because of lower centrifugal force. In recent years, these advanced research and development on the hybrid ceramic bearing are actively underway.
6.1. Single–guided bearing [27, 28, 39]
In order to increase the durability of self-lubricated bearing, it is apparent that sufficient cooling and restriction of the frictional heat generation in the bearing are essential. Its notification is experimentally identified by a series of studies on the turbopump bearing. In order to improve internal coolant flow through the bearing and to reduce bearing frictional torque, a new type of bearing having a single-guided retainer was developed. Figure 21 shows the 25-mm-bore bearing having a single-guided retainer with elliptical ball pockets [39]. The single-guided retainer is guided only by one side of the outer-ring bore (land) to reduce land friction and to increase the cooling ability within the bearing. However, reduce of retainer guiding is apt to generate unstable wobbling at high speed, so that the elliptical ball pockets with narrow axial clearance is needed to reduce wobbling of the retainer. For the elliptical ball pocket of the single-guided retainer, its circumferential clearance of 1.3 mm was twice as large as that of the conventional circular pocket to reduce ball-to-pocket interaction under high BSV. Furthermore, the axial clearance of 0.1 mm was narrow to stabilize wobbling of the single-guided retainer at high speeds.
Self-lubricating performance, bearing wear and transfer film of two-types of the single-guided bearing, i.e., a hybrid ceramic bearing with Si3N4 and all-steel bearing, was evaluated under high thrust loads at speeds up to 50,000 rpm in LH2, LO2 and LN2 [27,39]. Furthermore, to evaluate the durability of the single-guided bearing for long-life bearing, the all steel bearing was tested for total operation times up to 11.7 hours at a speed of 50,000 rpm with high thrust loads in LO2 [28]. These bearings used the glass cloth-reinforced PTFE retainer which was chemically treated with HF to improve self-lubrication.
Figure 21.
Advanced bearing having single-guided retainer with elliptical ball pocket
Figure 22.
Bearing torque of single-guided bearings and double guided bearing to 50,000 rpm in LH2
6.1.1. Self–lubricating performance and transfer film [27,39]
In LH2
Figure 22 shows the bearing torque of the single-guided bearings (hybrid ceramic bearing and all-steel bearing) and the conventional double-guided bearing at speeds to 50,000 rpm in LH2 [39]. It was observed that the bearing torque of the single-guided bearing effectively decreased to about one-half of that of the double-guided bearing. Its result identified that bearing torque induced by high-speed sliding of the outer land guide of the retainer almost accounted for an overall bearing torque generated at high speeds. In addition, the hybrid ceramic bearing showed lower bearing torque than the all-steel bearing at high speeds.
Critical load capacity of the single-guided bearing without a significant rise of the bearing torque and bearing temperature was evaluated. For the single-guided hybrid ceramic bearing tested in LH2, the critical thrust load was 1,960 N (Smax of inner race, 2.7 GPa) at 50,000 rpm and was two times higher than that of the double-guided all-steel bearing. Furthermore, even when bearing torque increased with a rise of bearing temperature, the hybrid ceramic bearing was able to sustain a thrust load of 2,840 N (Smax, 3.2 GPa) at 50,000 rpm without seizure in LH2. High critical load capacity of the single-guided hybrid ceramic bearing was demonstrated [39].
Figure 23.
XPS depth analysis of Si3N4 ball of hybrid ceramic bearing tested in LH2
Figure 23 shows the XPS depth analysis of a Si3N4 ball taken from the hybrid ceramic bearing tested in LH2 [27]. Its etching depth was 120 nm (SiO2 rate). It was found that a considerably thick transfer film consisting of CaF2/FeF2 was formed on the ceramic balls. CaF2 and FeF2 seemed to be tribo-chemically formed by the reducing power of LH2. The considerably thick transfer film of CaF2 and FeF2 led to exhibit high load capacity. For the all-steel bearing tested in LH2, a thick CaF2 film was formed beneath an extremely thin PTFE overlay, but its thickness of CaF2 transfer film was thinner than that of the hybrid ceramic bearing.
In LO2
In LO2, the hybrid ceramic bearing exhibited poor self-lubricating performance even at a low speed of 10,000 rpm. To the contrary, the all-steel bearing indicated excellent load capacity accompanied by a stable bearing and enabled to sustain a thrust load of 2,650 N (Smax, 2.7 GPa) at a speed of 50,000 rpm without seizure in LO2 [39].
For the hybrid ceramic bearing, an extremely thin, weakly adhesive PTFE film was formed on ceramic balls and resulted in a poor load capacity of the bearing. For the all-steel bearing, the intense formation of a Cr2O3 film was beneath an extremely thin PTFE film. It is noted that the tribo-chemical formation of Cr2O3 film due to high oxidation power of LO2 could exhibit high resistance to metal-to-metal adhesion leading to seizure [27].
In LN2
The hybrid ceramic bearing exhibited better load capacity than that of the all-steel bearing in LN2. The hybrid ceramic bearing enabled to sustain a thrust load of 2,700 N (Smax, 3.1 GPa) at a speed of 50,000 rpm without seizure. To the contrary, the all-steel bearing showed unstable change of bearing torque and seized at a relatively light-thrust load of 1,470 N (Smax, 2.2 GPa) at a speed of 50,000 rpm [39].
For the hybrid ceramic bearing, the thick transfer film consisting of FeF2/iron oxide formed on the ceramic balls. To the contrary, the seized all-steel bearing was lubricated by only thin PTFE transfer film, without the tribo-chemical formation of CaF2/FeF2/Cr2O3 films because of its inert environment of LN2. This fact was determined by that the all-steel bearing once tested in LH2 or LO2, whose bearing formed the CaF2/FeF2/Cr2O3 films, showed stable change of the bearing torque without seizure even under high thrust loads above 1,470 N in LN2 [27].
Figure 24.
XPS depth analysis of SUS440C ball tested for long run in LO2 and new ball
6.1.2. Long–life bearing [28]
The single-guided all steel bearing was tested for a total operation time to 11.7 hours at a speed of 50,000 rpm with high thrust loads to 2,400 N in LO2. During long-run test, one-hour operation at a speed of 50,000 rpm was repeated nine times. The test bearing was effectively cooled by the jet-cooling with using nozzles. During the long-run test, the bearing exhibited stable variation of the bearing torque in a range of 93-95 N-mm [28]. The bearing exhibited excellent self-lubrication performance that there was no abnormal change of the bearing torque and bearing temperature.
From the examination of the bearing tested for the long-run test in LO2, it was observed that sound surface conditions with hardly any wear were determined. The XPS depth analysis of a ball taken from the tested bearing is shown in Fig. 24 [28]. Its etching depth was 30 nm (SiO2 rate). It is noted that the intense formation of a Cr2O3 film was detected and its thickness was thicker than that of the native Cr2O3 film on the new ball. Under sufficient cooling conditions in LO2, the thick Cr2O3 film formed by tribo-chemical reaction could provide an extremely high resistance to metal-to-metal adhesion beneath an extremely thin CaF2 film. To the contrary, under poor cooling conditions in LO2, the intense formation of oxide film (Fe2O3) was mainly produced and led to large mild wear, as discussed in the LO2 turbopump bearing. Furthermore, the formation of Fe2O3 might reduce adhesion of PTFE transfer film, resulting in less lubricant within the bearing. The results indicated that thick formation of a Cr2O3 film due to tribo-chemical reaction in LO2 is important to reduce the bearing wear. Its effect needs sufficient cooling with jet within the bearing components to eliminate the formation of Fe2O3 [28].
6.2. Fluorine–passivated bearing [28]
It is experimentally found that the FeF2 film formed by a tribo-chemical reaction between the F of PTFE and Fe of 440C steel was facilitated by the high reduction power of LH2 and enhanced to reduce the bearing wear in LH2. This may suggest that the FeF2 film has a good solid-lubricant performance to improve the tribological performance of the bearing. Effect of the coated FeF2 film on the self-lubrication and durability of the all-steel bearing was evaluated. An FeF2 film was chemically formed by means of a passivating surface treatment of fluoridation in hot pure F2 gas. The fluorine-passivated bearings coated with FeF2 film was tested by long run for 11.7 hours at a speed of 50,000 rpm under high thrust loads in LH2, LO2 and LN2. The fluorine-passivated bearings showed excellent self-lubrication in both LH2 and LN2 [28].
In a reduce environment of LH2, even under poor cooling conditions controlled by reducing of the coolant flow, the fluorine-passivated bearing exhibited superior durability for a total test time to 4.4 hours, as compared with signs of seizure for the untreated bearing. The XPS analysis of the transfer film indicated that the fluorine-passivated bearing was tribo-chemically lubricated by a thick CaF2 film overlaid on a thick FeF2/Cr2O3 films.
In an inert environment of LN2, the fluorine-passivated bearing showed excellent self-lubrication and wear conditions for the long-run test up to 11.7 hours at a speed of 50,000 rpm. Stable change of the bearing torque (75-80 N-mm) was shown for the passivated bearing during the long-run test in LN2 [28]. The bearing test was repeated seven times at a speed of 50,000 rpm and a thrust load of 2,600 N in LN2. From the examination of the fluorine-passivated bearing tested in LN2, sound surface conditions with hardly any wear were determined. It was found that a thick CaF2 film was tribo-chemically formed on thick FeF2/Cr2O3 films of the bearing. On the other hand, the untreated bearing was seized at a low thrust load of 1,470 N due to less tribo-chemical reaction in LN2, as mentioned before. In such inert environment in LN2, there was less formation of CaF2/FeF2/Cr2O3 films, so that poor self-lubrication and load capacity of the bearing were shown.
To the contrary, in an oxide environment of LO2, the fluorine-passivated bearing indicated a higher bearing torque with greater unstable change than that of the untreated bearing [28]. The bearing tests were repeated seven times of the bearing test at a speed of 50,000 rpm and a thrust load of 2,450 N in LO2. Its total test time was 11.7 hours. During long-run test, high bearing torque continued to vary erratically with the variation in a range of 75-120 N-mm. The fluorine-passivated bearing tested in LO2 showed somewhat high wear. To the contrary, the untreated bearing demonstrated excellent self-lubrication with hardly any wear during the long-run test as mentioned before. It was clearly showed that the FeF2 film in LO2 made a typical reduction in self-lubrication.
Inspection of the fluorine-passivated bearing tested in LO2 indicated that the initial coated film of FeF2 was worm away. Its result also indicated that oxide power of LO2 restricted the tribo-chemical formation of FeF2 film. Such reduction in self-lubrication possibly resulted from that the coated FeF2 film restricted the tribo-chemical formation of Cr2O3 film in LO2, resulting in an increase of metal-to-metal adhesion. These results indicated that excellent lubrication depended on the tribo-chemical formation of CaF2/FeF2 films in LH2 or Cr2O3 film in LO2, respectively. In order to obtain high self-lubrication and durability of the bearing, it is noted that tribo-chemical reaction is necessary at the frictional interfaces within the bearing [4].
Based on previous bearing tests at high speeds up to 50,000 rpm, the hybrid ceramic bearing (25-mm bore) was tested at ultra-high-speeds up to 120,000 rpm, and results were compared with the all-steel bearing in LH2. At a ultra-high speed of 120,000 rpm, the inner-race growth of 34μm due to centrifugal force results in a reduction of the radial clearance within the bearing. Table 4 summarizes comparison of the bearing load and speed conditions for the hybrid ceramic bearing and all-steel bearing at a speed of 120,000 rpm with a thrust load of 980 N [8]. At 120,000 rpm, the initial radial clearance of 77 μm was decreased to 43μm. For the hybrid ceramic bearing, the maximum contact stress Smax at the inner race is apt to increase rather than that of the all-steel bearing due to a high elastic modulus. However, the maximum spinning velocity Vmax is reduced and resulted in a lower SVmax value that leads to a reduction of the bearing temperature and spin wear. The maximum contact stress at the outer race becomes higher due to centrifugal force. For sliding conditions of the retainer, the sliding velocity at the outer land and ball pocket reaches to a high level of 110 m/s and the frictional heat generation of the retainer is to be severe. For the cooling system to remove the bearing heat generation at 120,000 rpm, effective jet cooling with nozzles needs to obtain sufficient coolant flow within the bearing. The nozzles were directed to cool the single outer land-guiding side of the retainer where high frictional heat is generated.
Maximum contact stress at inner/outer races (Smax) [GPa]
\n\t\t\t
2.31 / 2.14
\n\t\t\t
2.00 / 2.35
\n\t\t
\n\t\t
\n\t\t\t
Maximum spinning velocity at inner race (Vmax) [m/s]
\n\t\t\t
5.8
\n\t\t\t
7.5
\n\t\t
\n\t\t
\n\t\t\t
Centrifugal force on ball [N]
\n\t\t\t
454
\n\t\t\t
1,120
\n\t\t
\n\t\t
\n\t\t\t
\n\t\t\t\tRetainer\n\t\t\t
\n\t\t\t
\n\t\t
\n\t\t
\n\t\t\t
Sliding velocity at outer land [m/s] Sliding velocity at ball pocket [m/s]
\n\t\t\t
108 116
\n\t\t
\n\t
Table 4.
Bearing load and speed conditions for hybrid ceramic and all-steel bearings at 120,000 rpm with 980 N (25-mm bore)
Figure 25.
Change of bearing temperature of hybrid ceramic and all-steel bearings at 120,000 rpm with 2,160 N
Figure 25 shows the change of the bearing temperature at a steady speed of 120,000 rpm with a thrust load of 2,160 N [8]. The hybrid ceramic bearing showed excellent performance with a stable condition of the bearing temperature, compared to the seized all-steel bearing showing an irregular change of high bearing temperature. When the thrust load was increased to 3,140 N, the hybrid bearing showed slight damage with a spiky rise of the bearing temperature. It was found that the critical load capacity Smax without seizure at a speed of 120,000 rpm was reached to 3.0 GPa (at a thrust load of 2,160 N) for the hybrid ceramic bearing and 2.0 GPa (980 N) for the all-steel bearing, respectively.
The power loss around the bearing was estimated based on the heat absorbed by the cooling flow [8]. Figure 26 shows the power loss of the hybrid ceramic and all-steel bearings as a function of rotational speed up to 120,000 rpm in LH2 under different cooling conditions at a thrust load of 980 N. It was found that the power loss of the bearing significantly increased above 80,000 rpm with increasing cooling flow rate. At 120,000 rpm, the power loss of the bearing that contained the viscous power loss of 2.2 kW at the shaft side was estimated. The power loss was 6.0 kW for the hybrid ceramic bearing and 6.4 kW for the all-steel bearing, respectively. There was not typical difference of the power loss of the bearing because viscous power loss within the bearing almost accounted for an overall power loss generated at ultra-high speeds. It seems that the power loss around the bearing was mainly induced by viscous drag and churning of the cooling flow passing through the bearing.
Figure 26.
Power loss of hybrid ceramic and all-steel bearings as a function of rotational speed up to 120,000 rpm in LH2
The components of the hybrid ceramic bearing were in excellent condition with regard to wear at a speed of 120,000 rpm with a thrust load of 3,140 N in LH2 [40]. On the contrary, the seized all-steel bearing exhibited severe adhesive wear. It was found that the ceramic balls formed superficial micro-cracks on the contact track. Superficial micro-cracks visually extended in a mesh-like pattern on the Si3N4 ball tested. It was shown that network of hair crack was propagated along wide-ditch crack. A marked feature of these superficial micro-cracks was that they were very shallow to about 3 μm at maximum and did not extend deeply into the ball. From detailed observation with a scanning electron microscope (SEM), such wide-ditch cracks seemed to be formed by removal of fragments fractured due to contact stress repeated by the rolling balls as shown in Fig. 27. Thus, when the Si3N4 balls had lower mechanical strength and fracture toughness, it was clear that wide-ditch cracks were apt to be formed.
An advanced study was conducted to select a tough Si3N4 ball capable of restraining crack propagation as well as to evaluate the efficient bearing cooling with nozzles. A Si3N4 ball having higher thermal-shock resistance, as well as higher fracture toughness, was found to reduce the propagation of superficial micro-cracks, resulting in a decrease of ball wear. Furthermore, it was observed that the cooling ability of the LH2 jet-flow aimed at the retainer was superior to that aimed at the inner raceway, further reducing the propagation of thermal micro-cracks on the Si3N4 balls. This result also indicated that micro-cracks on the balls were possibly generated at the trace contacting the outer raceway due to a higher centrifugal force under insufficient cooling conditions. Furthermore, under the same cooling rate, the four nozzles achieved a higher cooling ability than the two nozzles with increasing jet speed above 208 m/s. The jet-speed of nozzles reached to the twice of the sliding speed of 108 m/s at the retainer outer-land [40].
In order to prevent the propagation of superficial thermal micro-cracks on the balls, the outer race contact stress was reduced by decreasing the outer race curvature to a limited value of 0.51. Furthermore, sufficient cooling at the outer raceway was gained by a proper clearance of the outer land of the retainer. Decreasing the maximum outer-race stress to 2.0 GPa (thrust load, 1,960 N) in conjunction with sufficient cooling through a narrow outer land clearance could prevent the propagation of superficial micro-cracks even under insufficient cooling conditions [40].
Figure 27.
Process model of wide-ditch crack formation on Si3N4 ball
6.4. Ultra–high–speed two–phase seal [8]
The floating-ring seal due to noncontact-type is suitable for high-pressure turbopumps; however, conventional seals using carbon seal-rings were weak under high speed and high pressure conditions. Since metal seal-rings have higher mechanical strength and durability, advanced floating-ring seal (with one-seal and two-seal rings) that used Ag-plated metal seal-rings with a seal diameter of 30 mm [8]. This metal seal was studied at ultra-high speeds up to 120,000 rpm in LH2. Calculated runner growth due to centrifugal force at 120,000 rpm was 29μm, so that the initial seal clearance (gap) was decreased as the rotational speed increased. The test seal had an Ag-plated seal ring made of Inconel 718 that was the same material used for the runner. The runner was coated with a Cr2O3 plasma spray, and this coating exhibited excellent friction and wear without adhesion to Ag in LN2. In order to obtain smooth radial movement of the seal ring, the static seal surface of the housing was coated with a sprayed MoS2 film.
Figure 28 shows the seal performance of the one-ring seal vs. the two-ring seal up to a speed of 100,000 rpm in LH2 [8]. These seals had a straight bore with a seal gap of 110-120 μm. Figure 29 also shows the phase change models of leakage flow within the seal gap [4]. Seal performance depended on the two-phase flow (gas/liquid phase) of leakage, because the vaporization of leakage was generated by the viscous friction heat and by the seal pressure drop. At lower speeds, the leakage of the one-ring seal was relatively greater than that of the two-ring seal; however, with increasing speed, the leakage of the one-ring seal was drastically decreased and approached the same level of the two-ring seal due to enlargement of the two-phase flow.
For the two-ring seal, the two-phase flow was fully enlarged within the secondary seal ring that was at the downstream of the primary seal ring. Seal leakage was reduced within limits; however, the hydrodynamic force of the liquid phase flow that sustained the seal ring was lost and resulted in seal-ring seizure at a relatively lower speed of 98,700 rpm. Also, shaft vibration for the two-ring seal was likely produced by wobbling of the seal ring under severe rubbing conditions and abruptly increased at speeds of more than 92,000 rpm before resulting in seal-ring seizure at a speed of 98,700 rpm. Furthermore, in the two-ring seal with a seal gap of 70-80 μm, the primary seal-ring seized a speed of 108,600 rpm, because the hydrostatic force decreased due to a low differential pressure.
Figure 28.
Seal performance of one-ring seal vs. two-ring seal up to 100,000 rpm
Figure 29.
Phase change models of leakage flow within seal gap at ultra-high speed
In contrast, the one-ring seal successfully functioned with no abnormal signs of seizure during tests, because the liquid-phase flow remained within a seal clearance even though the two-phase flow increased. As a result, the hydrodynamic force in the liquid-phase flow as well as the hydrostatic force due to high differential pressure possibly helped to prevent seal-ring seizure. At a steady speed of 120,000 rpm, the one-ring seal exhibited a stable leakage in a range of 0.21-0.24 liters/s that is similar to leakage in the two-ring seal as shown in Fig. 28. Thus, the one-ring seal was superior to the two-ring seal, preventing seal-ring seizure due to an increase of two-phase flow within the sealing clearance.
7. Concluding remarks
For built-up of safe space transport system to achieve high reliability, cryogenic high-speed bearing and shaft seal used in the rocket turbopumps are reviewed historically. These tribo-components have specific lubrication, materials and design requirements in pumping cryogenic liquid propellants in rocket engines. Nowadays, as earth scale issues of energy conservation and environment preservation, a breakaway from the conventional fossil-fuel society becomes a big problem. Clean hydrogen energy is attractive due to its energy efficiency and its smaller impact on the environment, and it is expected to be a key technology in the 21st century. It is proposed that, to build hydrogen infrastructure for LH2 storage and distribution, development of an industrial tribo-system with long durability and high reliability is essential and advances by supporting of cryogenic tribology studied for LH2 rocket system.
Acknowledgments
This paper is based on previous cryogenic tribology studies carried out by Japan Aerospace Exploration Agency (JAXA) at Kakuda Space Center. These studies were also supported by IHI Corporation for turbopumps, by NTN corporation for bearings and by Eagle Industry Co., LTD. for shaft seals, respectively. The author is indebted to researchers engaged for their valuable support, to organizations for their enthusiastic cooperation. At last, the author has to thank late Prof. Miyakawa, Y. of Hhosei University, as a pioneer in space tribology in Japan, for his guidance to cryogenic tribology with profound appreciation.
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Introduction",level:"1"},{id:"sec_2",title:"2. Bearings and shaft seals of turbopumps",level:"1"},{id:"sec_2_2",title:"2.1. Turbopumps and tribo–components",level:"2"},{id:"sec_3_2",title:"2.2. Self–lubricating bearings",level:"2"},{id:"sec_3_3",title:"2.2.1. Self–lubrication of retainer",level:"3"},{id:"sec_4_3",title:"Table 2.",level:"3"},{id:"sec_6_2",title:"2.3. Shaft seal systems",level:"2"},{id:"sec_8",title:"3. Cryogenic tribological problems [4, 16, 20, 23]",level:"1"},{id:"sec_9",title:"4. High–speed bearings",level:"1"},{id:"sec_9_2",title:"4.1. Improvement of self–lubrication of retainer [16, 17, 18, 26, 27]",level:"2"},{id:"sec_10_2",title:"4.2. Development of elliptical ball–pockets of retainer [13, 14, 26]",level:"2"},{id:"sec_11_2",title:"4.3. Performance of LH2 bearing [12, 13]",level:"2"},{id:"sec_12_2",title:"4.4. Durability of LO2 bearing [15]",level:"2"},{id:"sec_13_2",title:"4.5. Evaluation of turbopump bearings [14]",level:"2"},{id:"sec_15",title:"5. Turbopump shaft seals",level:"1"},{id:"sec_15_2",title:"5.1. Mechanical seal [29-34]",level:"2"},{id:"sec_16_2",title:"5.2. Floating ring seal [22, 29, 35, 37]",level:"2"},{id:"sec_17_2",title:"5.3. Segmented seal [22, 35, 37, 38]",level:"2"},{id:"sec_19",title:"6. Advanced bearings and shaft seals",level:"1"},{id:"sec_19_2",title:"6.1. Single–guided bearing [27, 28, 39]",level:"2"},{id:"sec_19_3",title:"6.1.1. Self–lubricating performance and transfer film [27,39]",level:"3"},{id:"sec_20_3",title:"6.1.2. Long–life bearing [28]",level:"3"},{id:"sec_22_2",title:"6.2. Fluorine–passivated bearing [28]",level:"2"},{id:"sec_23_2",title:"6.3. Ultra–high–speed hybrid ceramic bearing [8,40]",level:"2"},{id:"sec_24_2",title:"6.4. Ultra–high–speed two–phase seal [8]",level:"2"},{id:"sec_26",title:"7. Concluding remarks",level:"1"},{id:"sec_27",title:"Acknowledgments",level:"1"}],chapterReferences:[{id:"B1",body:'Dieter K H & David H H. Modern Engineering for Design of Liquid-Propellant Rocket Engines, Progress in Astronautics and Aeronautics, Vol. 147, AIAA, (1992), 155-218.'},{id:"B2",body:'Liquid Rocket Engine Turbopump Bearing, NASA SP-8048, 1971. '},{id:"B3",body:'Liquid Rocket Engine Turbopump Rotating- Shaft Seals, NASA SP-8121, 1978.'},{id:"B4",body:'Nosaka, M. Cryogenic Tribology of High-Speed Bearings and Shaft Seals in Liquid Hydrogen, Tribology Online, 6, 2, (2011), 133-141.'},{id:"B5",body:'Nosaka M, Takada S & Yoshida M. Research and Development of Cryogenic Tribology of Turbopumps for Rocket Engines, J. of Aeronautical and Space Science Japan, 58, 681, (2010), 303-313, in Japanese.'},{id:"B6",body:'Hale J R & Klatt F T. SSME Improvement for Routine Shuttle Operations, AIAA-85-1163, (1985). '},{id:"B7",body:'Gibson H. Lubriction of Space Shuttle Main Engine Turbopump Bearings, Lubr. Eng. 57, 8, (2001), 10-12. '},{id:"B8",body:'Nosaka M, Takada S, Kikuchi M, Sudo T & Yoshida M. Ultra-High-Speed Performance of Ball Bearings and Annular Seals in Liquid Hydrogen at Up to 3 Million DN (120,000 rpm), Trib. Trans., 47, (2004), 43-53.'},{id:"B9",body:'Ohta T, Kimoto K, Kawai T, Motomura T, Russ M & Paulus T. Design, Fabrication and Test of the RL60 Fuel Turbopump, AIAA-2003-5073, (2003).'},{id:"B10",body:'Collongeat L, Edeline E, Frocot M & Dehouve J. Development status of high DN LH2 bearings in Snecma, AIAA-2005-3950, (2005).'},{id:"B11",body:'Rachuk V & Titkov N. The First Russian LOX-LH2 Expander Cycle LRV: RD0146, AIAA-2006-4904, (2006).'},{id:"B12",body:'Nosaka M, Oike M, Kamijo K, Kikuchi M & Katsuta H. Experimental Study on Lubricating Performance of Self-Lubricating Ball Bearings for Liquid Hydrogen Turbopump, Lubr. Eng., 44, 1, (1988), 30-44 .'},{id:"B13",body:'Nosaka M, Oike M, Kikuchi M, Kamijo K & Tajiri M. Tribo-Characteristics of Self-Lubricating Ball Bearings for the LE-7 Liquid Hydrogen Rocket-Turbopump, Trib. Trans., 36, 3, (1993), 432-442.'},{id:"B14",body:'Nosaka M, Oike M, Kikuchi M, Nagao R & Mayumi T. Evaluation of Durability for Cryogenic High-Speed Ball Bearings for LE-7 Rocket Turbopumps, Lubr. Eng., 52, 3, (1996), 221-233.'},{id:"B15",body:'Nosaka M, Oike M, Kikuchi M, Kamijo K & Tajiri M. Self-Lubricating Performance and Durability of Ball Bearings for the LE-7 Liquid Oxygen Rocket-Turbopump, Lubr. Eng., 49, 9, (1993), 677-688.'},{id:"B16",body:'Nosaka M, Oike M & Kikuchi M. Tribology at Low and High Temperatures, Lubrication in Rocket-Turbopumps, J. of Japan Society of Lubrication Engineers, 33, 2, (1988), 90-96, in Japanese.'},{id:"B17",body:'Nosaka M. Self-Lubricating Performance of High-Speed Ball Bearing for Liquid Hydrogen (1), Design Problems, J. of Japan Society of Lubrication Engineers, 32, 10, (1987), 689-695, in Japanese.'},{id:"B18",body:'Nosaka M. Self-Lubricating Performance of High-Speed Ball Bearing for Liquid Hydrogen (2), Self-Lubricating Performance Improvements. J. of Japan Society of Lubrication Engineers, 32, 12, (1987), 833-838, in Japanese.'},{id:"B19",body:'Winn L W, Eusepi M W & Smalley A J. Small, High-Speed Bearing Technology for Cryogenic Turbo-Pumps, NASA CR-134615, 1974.'},{id:"B20",body:'Edmond E B & William J A. Advanced Bearing Technology, NASA SP-38, 1965.'},{id:"B21",body:'Nosaka M & Oike M. Rotating-Shaft Seals in Rocket-Turbopumps, J. of Japanese Society of Tribologists, 35, 4, (1990), 233-238, in Japanese.'},{id:"B22",body:'Oike M, Nosaka M, Watanabe Y, Kikuchi M & Kamijo K. Experimental Study on High-Pressure Gas Seals for a Liquid Oxygen Turbopump, STLE Trans., 31, 1, (1988), 91-97.'},{id:"B23",body:'Nosaka M, Oike M & Kikuchi M. Cryogenic Tribology of Turbopumps for Rockets, Cryogenic Engineering, 31, 10, (1996), 500-511, in Japanese.'},{id:"B24",body:'Nosaka M. Tribological Burn-Out of Wear, J. of Japanese Society of Tribologists, 36, 9, (1991), 689-691, in Japanese.'},{id:"B25",body:'Nosaka M. Tribology in Low Temperature Environment, J. of Japanese Society of Tribologists, 52, 11, (2007), 759-764, in Japanese.'},{id:"B26",body:'Nosaka M, Takada S, Yoshida M, Kikuchi M, Sudo T & Nakamura S. Effect of Tilted Misalignment of Tribo-Characteristics of High-Speed Ball Bearings in Liquid Hydrogen, Tribology Online, 5, 2, (2010), 71-79.'},{id:"B27",body:'Nosaka M, Kikuchi M, Oike M & Kawai N. Tribo-Characteristics of Cryogenic Hybrid Ceramic Ball Bearings for Rocket Turbopumps: Bearing Wear and Transfer Film, Trib. Trans., 42, 1, (1999), 106-115.'},{id:"B28",body:'Nosaka M, Kikuchi M, Kawai N & Kikuyama H. Effect of Iron Fluoride Layer on Durability of Cryogenic High-Speed Ball Bearings for Rocket Turbopumps, Trib. Trans., 43, 2, (2000), 163-174.'},{id:"B29",body:'Suzuki M, Nosaka M, Kamijo K & Kikuchi M. Research and Development of a Rotating- Shaft Seals for a Liquid Hydrogen Turbopump, Lubr. Eng., 42, 3, (1986), 162-169.'},{id:"B30",body:'Nosaka M, Miyakawa Y, Kamijo K, Suzuki M & Kikuchi M. Study on Sealing Characteristics of High Speed, Contacting Mechanical Seals for Liquid Hydrogen (Part 1), Development of Mechanical Seal for Liquid Hydrogen Turbopump, J. of Japan Society of Lubrication Engineers, 29, 1, (1984), 35-42, in Japanese.'},{id:"B31",body:'Nosaka M, Kamijo K, Suzuki M, Kikuchi M & Miyakawa Y. Study on Sealing Characteristics of High Speed, Contacting Mechanical Seals for Liquid Hydrogen (Part 2), Starting Torque and Static Sealing Performance, J. of Japan Society of Lubrication Engineers, 29, 1, (1984), 43-49, in Japanese.'},{id:"B32",body:'Nosaka M, Kamijo K, Suzuki M, Kikuchi M & Miyakawa Y. Study on Sealing Characteristics of High Speed, Contacting Mechanical Seals for Liquid Hydrogen (Part 3), Friction Power Loss and Dynamic Sealing Performance, J. of Japan Society of Lubrication Engineers, 29, 2, (1984), 113-120, in Japanese.'},{id:"B33",body:'Nosaka M, Kamijo K, Suzuki M, Kikuchi M & Miyakawa Y. Study on Sealing Characteristics of High Speed, Contacting Mechanical Seals for Liquid Hydrogen (Part 4), Characteristics of Running Process and Wear of Rubbing Seal Faces, J. of Japan Society of Lubrication Engineers, 29, 2, (1984), 121-128, in Japanese.'},{id:"B34",body:'Nosaka M, Kamijo K, Suzuki M, Kikuchi M & Miyakawa Y. Study on Sealing Characteristics of High Speed, Contacting Mechanical Seals for Liquid Hydrogen (Part 5), The Formation of Thermal Crack and Wear in Chromium Plate on Rotating Ring, J. of Japan Society of Lubrication Engineers, 29, 3, (1984), 187-194, in Japanese.'},{id:"B35",body:'Oike M, Nosaka M, Kikuchi M & Watanabe Y. Performance of A Shaft Seal System for The LE-7 Rocket Engine Oxidizer Turbopump, Proc. of The 18th Inter. Symposium on Space Tech. and Sci., Kagoshima, (1992), 143-154.'},{id:"B36",body:'Oike M, Nosaka M, Kikuchi M & Hasegawa S. Two-Phase Flow in Floating-Ring Seals for Cryogenic Turbopumps, Tribo. Trans., 42, 2, (1999), 273-281.'},{id:"B37",body:'Oike M, Nosaka M, Kikuchi M & Watanabe Y. Performance of a Segmented Circumferential Seal for a Liquid Oxygen Turbopump (Part 1), Sealing Performance, J. of Japanese Society of Tribologists, 37, 4, (1992), 339-346, in Japanese.'},{id:"B38",body:'Oike M, Nosaka M, Kikuchi M & Watanabe Y. Performance of a Segmented Circumferential Seal for a Liquid Oxygen Turbopump (Part 2), Durability, J. of Japanese Society of Tribologists, 37, 5, (1992), 389-396, in Japanese.'},{id:"B39",body:'Nosaka M, Kikuchi M, Oike M & Kawai N. Tribo-Characteristics of Cryogenic Hybrid Ceramic Ball Bearings for Rocket Turbopumps: Self-Lubricating Performance, Trib. Trans., 40, 1, (1997), 21-30.'},{id:"B40",body:'Nosaka M, Takada S, Yoshida M, Kikuchi M, Sudo T & Nakamura S. Improvement of Durability of Hybrid Ceramic Ball Bearings in Liquid Hydrogen at 3 Million DN (120,000 rpm), Tribology Online, 5, 1, (2010), 60-70.'}],footnotes:[],contributors:[{corresp:null,contributorFullName:"Masataka Nosaka",address:null,affiliation:'
Department of Mechanical Engineering, University of Tokyo, Tokyo, Japan
Department of Mechanical Engineering, University of Tokyo, Tokyo, Japan
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1. Introduction
The quantum Fourier transform (QFT) has been applied in a number of different contexts within the field of quantum computation [1, 2, 3]. As this operator is central to so many quantum algorithms, a major thrust of current research is directed toward its efficient implementation [4, 5, 6, 7, 8, 9]. The QFT calculation is, to a degree, based upon the discrete Fourier transform (DFT) where, given a discrete sequence
x=x0x2⋯xN−1E1
of length N, the DFT of x can be computed as
DFTx=FxE2
with DFT matrix elements
Fjk=1Nei2πNjkj,k=0,1,⋯,N−1E3
Since the DFT matrix is N×N, the computational complexity of computing DFTx is ON2. If the input sequence length of the input sequence x can be written as N=2n (i.e. a power of two for some positive integer, n), there exist fast Fourier transform (FFT) implementations that can compute DFTx with ONlogN complexity. While there are other FFT implementations that do not require N=2n, the ‘radix-2’ implementation will be the starting point as it is relevant when introducing quantum computational bases. Before elevating the DFT to its quantum description, in Section 2 we will take a brief tour of quantum computation in order to provide some necessary context. We will then, in Section 3, develop the QFT operator and discuss its quantum implementation. Finally, in Section 4, we will discuss the QFT in the context of universal computation and its formulation in terms of permutation matrices.
2. Quantum computation
A starting point for quantum computation begins with choosing a qubit representation for the computational basis [3]
∣0〉≡10,∣1〉≡01E4
This qubit basis forms a complete orthonormal set so that any single qubit quantum mechanical state can be written as the linear superposition
∣ψ〉=α∣0〉+β∣1〉.E5
where the coefficients α and β are complex scalars. If 〈ψ∣ represents the Hermitian conjugate of ∣ψ〉, according to quantum mechanics, the inner product
ψψ=α2+β2=1E6
is normalized so that ψ represents a probability density function. This implies that, at any given instance in its time evolution, a quantum system can simultaneously be in the logical states ∣0〉 and ∣1〉 with their associated probabilities α2 and β2. This is in stark contrast to classical digital computation whose operations must always exclusively evaluate to a value of either 0 or 1. Quantum computation allows an algorithm to simultaneously visit both logical states ∣0〉 and ∣1〉 of a single qubit. If n qubits (i.e. multiple qubits) are applied, then a quantum system, in principal, has the potential to simultaneously visit 2n logical states (again, with their associated probabilities). This exponential computational capacity is the source of quantum parallelism. However, there is a catch. Only when some observable is measured can we ascertain the current logical state of the system. Hence, quantum computers require large samples of measurements in order to build up the statistics necessary to determine the outcome of any given algorithm.
2.1 Unitary operators
The time evolution operator U associated with a quantum system must be unitary meaning that
U†U=IE7
where U† is the conjugate transpose of U. A major implication of this requirement is that the forward time system evolution must (at least mathematically) be reversible. This requirement, in turn, constrains computations that are implemented by quantum operators to be reversible. Therefore, logical operations such as AND, OR, and XOR (exclusive-or) would not be a quantum mechanical possibility unless some additional input information were to be preserved. This is because, in the absence of information about the input, measuring the output of these operations is not enough to ascertain the values of the inputs. Hence, these boolean processes, by themselves, are not reversible. However, there is a theory of reversible computation that can augment these logical operations so that input information is recoverable. Furthermore, much thought has gone into phrasing reversible computation in the context of unitary operators. Given the discussion so far, it is appropriate to give a short list of standard single qubit operators:
I=1001,H=12111−1,Rϕ=100eiϕE8
X=0110,Y=0−ii0,Z=100−1E9
The reader can check that these are all unitary. As a simple example of how to apply such operators, consider the action of X on the basis vector ∣0〉
X∣0〉=0110∣0〉=011010=01=∣1〉E10
where ∣0〉 and ∣1〉 are ‘swapped’, indicating a form of logical inversion. H is a Hadamard transform (i.e. a DFT for a sequence of length N=2). X, Y and Z are Pauli matrices. Rϕ is a generalization of Z=Rπ and I=R0. While these are single quhit operators, the next sections discuss how they can be extended to the multiple qubit case. Amazingly, this set of quantum operators can be applied to devise some very powerful quantum algorithms (e.g. QFT computation) [3, 10].
2.2 Tensor product (Kronecker product)
The Kronecker product of an m×n matrix A with a p×q matrix B is defined to be
Furthermore, assuming the dimensions are compatible for matrix multiplication, the following identity often proves useful
A⊗BC⊗D=AC⊗BDE12
for matrices A,B,C,D.
The computational basis can be extended to any number of qubits using the tensor product. For example, if two qubits are required for the computational space, using Eq. (2), the basis becomes
To generalize this example for n qubits, the set of computational basis vectors can, for the sake of brevity, be labeled in base 10 as
0〉1〉2〉⋯2n−1〉.E14
On the other hand, in order to highlight the qubit values, this basis can equivalently be expressed in base 2 as
∣k1k2⋯kn〉=∣k1〉⊗∣k2〉⊗∣⋯⊗∣kn〉E15
where ki∈01 for i=1,⋯,n. In other words, k1k2⋯kn represents the binary expansion
k=k12n−1+k22n−2+⋯+kn−121+kn20=∑t=1nkt2n−tE16
for the kth basis vector ∣k〉≡∣k1k2⋯kn〉. We have chosen this bit index ordering as it will prove convenient for the QFT formulation in the next section. An equally acceptable (and, quite typical) bit index convention for an n qubit system could, for example, be ∣q〉≡∣qn−1qn−2⋯q1q0〉.
Eq. (15) tells us that the n qubit basis is derived from the tensor product of single qubits. This is important to keep in mind in order to avoid confusion when using the symbol ∣0〉. For example, when using n=1 qubit, ∣0〉 in decimal is equivalent to ∣0〉 in binary; however,, when using n=3 qubits, ∣0〉 in decimal is equivalent to ∣000〉 in binary. Hence, the number of qubits n is the anchor for the relationship between Eq. (14) and Eq. (15). Assuming n qubits, there are 2n basis vectors that can be used to construct a quantum state. Hence, all 2n basis vectors will simultaneously evolve with their associated probabilities; again, this is the source of quantum parallelism.
2.3 Quantum circuits
One particularly useful application of Eq. (12) arises when building up n qubit quantum circuits (i.e. schematic depictions of quantum operations on qubits). For instance, assume a two qubit system ∣q1q0〉 where two unitary operators H and Z act on single qubits as
H∣q1〉,Z∣q0〉E17
and the result is desired to be combined as
H∣q1〉⊗Z∣q0〉.E18
Eq. (12) tells us that this action is equivalent to
H⊗Zq1〉⊗q0〉.E19
However, by construction, ∣q1〉⊗∣q0〉=∣q1q0〉. Therefore,
H∣q1〉⊗Z∣q0〉=H⊗Z∣q1q0〉E20
making it straightforward to develop multiple qubit quantum systems from unitary operators. The schematic representation of H⊗Z∣q1q0〉 is show in Figure 1.
Figure 1.
Two qubit quantum circuit for H⊗Z∣q1q0〉.
With the groundwork laid for multiple qubits, it becomes possible to introduce more unitary operators that facilitate reversible computation. For example, the controlled NOT (CNOT) function can be phrased as a two qubit reversible XOR operator
CNOT=1000010000010010.E21
where c represents the control bit, t represents the target XOR function and ∣q1q0〉=∣ct〉. This operator is a permutation matrix that is consistent with Table 1 in that it swaps the ∣11〉 and ∣10〉 qubits. The XOR operation, by itself, can act as an irreversible controlled NOT operation. For the sake of quantum computation, the CNOT operator is unitary and a reversible XOR function is achieved because the control bit ∣q1〉 is preserved from input to output.
cin
tin
cout
tout
0
0
0
0
0
1
0
1
1
0
1
1
1
1
1
0
Table 1.
Controlled NOT.
There exist powerful tools for the simulation of quantum operations (referred to as ‘quantum gates’) and for the rendering of multiple qubit quantum circuits [11]. Figure 2 shows a schematic representation of the CNOT circuit corresponding to Table 1. In this circuit, the control bit is used to swap the target ∣q0〉 (using an X gate) if ∣q1〉=∣1〉.
Figure 2.
Two qubit CNOT quantum circuit swap of ∣11〉 and ∣10〉 using Qiskit [11].
For the sake of this work, we point out that an equally valid interpretation of the quantum CNOT function can be realized if the roles of the control and target are interchanged where ∣q1q0〉=∣tc〉 (see Table 2). In this case the CNOT operator becomes
tin
cin
tout
cout
0
0
0
0
0
1
1
1
1
0
1
0
1
1
0
1
Table 2.
Controlled NOT where ∣q1q0〉=∣tc〉.
CNOT=1000000100100100.E22
which is a permutation matrix that swaps the ∣11〉 and ∣01〉 qubits and corresponds to the circuit in Figure 3.
Figure 3.
Two qubit CNOT quantum circuit swap of ∣11〉 and ∣01〉.
We shall have more to say about this implementation in the following sections. For now, with this brief overview of quantum computation, we can now introduce the quantum Fourier transform.
3. The quantum Fourier transform
It should be clear that the DFT matrix in Eq. (2) is unitary where
F†F=IE23
and F† is the Hermitian conjugate of F. Because of this unitarity, the potential for using the DFT within the context of quantum computation naturally follows. However, such an application requires a decomposition involving tensor products of unitary operations typically applied in quantum computation. As with the FFT, the choice of the decomposition dictates the algorithmic complexity. There is much introductory literature available regarding the QFT [3, 12, 13, 14]. Given a specific quantum algorithm where the QFT is applied, current research endeavors reside in attempts to improve the computational complexity [4, 7, 9, 15, 16].
The QFT matrix is defined as
Q=1N∑j=0N−1∑k=0N−1ei2πNjk∣k〉〈j∣.E24
For example, with N=2n and n = 1, we recover the Hadamard matrix
To forge a path toward efficient implementation, it is important to recognize how Eq. (33) can be decomposed into a set of operators relevant to quantum computation (see Section 2.1). First, consider the n=1 single qubit case,
Q∣j〉=120〉+ei2πj21〉.E34
Then, for each qubit state ∣j〉=∣0〉,∣1〉, it follows that
Q∣0〉=120〉+1〉=1211Q∣1〉=120〉−1〉=121−1E35
as expected since Q=H for the single qubit case. Hence, it should be nn surprise that the v=1 contribution to Eq. (10) should be a Hadamard gate.
To handle the phase factors in the other contributions to the tensor product (where v≥2), the keen eye will recognize that the terms ei2πj2−v could lead to a unitary quantum mechanical operator. Before leveraging this observation in a QFT algorithm, it will be helpful to consider the qubit representation ∣j〉=∣j1j2⋯jn〉. As the index v ranges from 1 to n, the index j in the term ei2πj2−v experiences successive divisions by 2 (i.e. successive right shifts of its binary representation by one bit):
Since these values appear in the phase factor, the integer parts will only result in integer multiples of 2π and can therefore be discarded. Eq. (33) can then be expressed as
which corresponds to the column ∣01〉 entries in Eq. (26). If not already obvious, it should be emphasized that the tensor product is not commutative and that consistent qubit ordering is instrumental to the success of this calculation.
3.2 Quantum implementation
Based upon Eq. (37), it is sensible to introduce an iterable version of the R operator introduced in Section 2.1:
Rv=100ei2π2v.E40
Furthermore, because each qubit contribution contains phase terms involving the binary expansion of j, one approach to addressing these interactions is to introduce a controlled version of Rv:
CRv=I00Rv.E41
This operator can be used to induce the correct phase factor as follows. Assume tc〉 is the target/control structure for single qubits jrjs were s>r in the binary representation of ∣j〉. Then, the following holds true
CRv∣jr0〉=∣jr0〉CRv∣jr1〉=ei2π2vjr∣jr1〉E42
Hence, the control bit determines when to introduce the phase factor involving the target bit.
The goal of this section is to introduce enough nomenclature in order to put the next section of this work in context. The reader is encouraged to visit the provided references in order to fill in the details of a generalized quantum circuit that can implement an n qubit QFT. For now, we provide an n=2 qubit example to illustrate an algorithm for performing the QFT. Whatever principled series of operations is chosen, the goal of the quantum algorithm (and, hence, the associated quantum circuit) is to reproduce Eq. (11). Starting with ∣j〉=∣j1j2〉,
Apply H to ∣j1〉 so that
∣j1〉⊗∣j2〉→H∣j1〉⊗∣j2〉=120〉+ei2πj12−11〉⊗∣j2〉E43
Apply CR2 to target qubit j1 controlled by j2. This yields
Comparing this result with either Eq. (33) or Eq. (37), it is clear that this algorithm, derived using quantum reversible operators, recovers the QFT from Eq. (38) with one slight difference: the bit ordering is reversed. Given n qubits, it is possible to apply n/2 swaps using, for example, tensor products involving an X operator (see Section 2.1) in order to reverse the bit order. Such bit reversal permutations are reminiscent of the radix-2 FFT algorithm. If one generalizes this algorithm to n qubits, it can be shown that the algorithmic complexity is On2. With N=2n, this is a considerable improvement over NlogN=n2n for the radix-2 FFT. However, algorithmic improvements and variations have been developed that can further reduce QFT complexity to Onlogn [9, 15].
4. QFT permutations
Universal computation, by its very nature, must involve some set of permutation operators [17, 18, 19, 20]. As with other universal gates applied in quantum computation, in this section, we show that the QFT can generate operators that have the properties of a permutation. Consider a successive application of the QFT such as Q2=QQ and let us analyze the matrix elements of such an operation:
For an n qubit system ∣qn−1⋯q1q0〉, it should be clear that PQ2 is a permutation operator that leaves the position of ∣q0〉 unchanged and inverts the order of the remaining qubits to form ∣q1⋯qn−1q0〉. For example, the CNOT operator in Eq. (22) is equal to PQ2 for n=2
CNOT=Q2=1000000100100100=PQ2E47
having properties similar to that of a Sylvester shift matrix (i.e. a generalization of a Pauli matrix). It is sensible that a CNOT operation followed by a CNOT operation should result in the identity operation and, hence, that PQ2PQ2=Q4=I (i.e. a double inversion recovers the original qubit sequence). These results can be generalized for any n. For example, with n=3, Eq. (46) becomes
which, after the appropriate sequence of swaps, can be transformed into a Toffoli (CCNOT) gate. Hence, PQ2 can be thought of as a generalization of swap permutation operators and the QFT can be phrased as its square root. For example, it is common to define a two qubit swap operator as
Sw=1000001001000001E49
along with its square root
Sw=10000121+i121+i00121+i121+i00001.E50
In a similar manner, Eq. (46) leads us to the following
Theorem 1Given theN×Ninversion permutation matrix defined as
PQ2j,k=0j+k≠0modN1j+k=0modN,E51
it follows that
Q=PQ2E52
where Q is a QFT matrix.
In addition, given that Q4=I we have the following
Corollary 1 Any algorithm that iteratively applies the QFT can result in only one of the following outcomes
Qk=PQ2 if k=1mod4.
Qk=PQ2 if k=2mod4.
Qk=Q−1 if k=3mod4.
Qk=I if k=0mod4.
These results indicate a deeper connection between universal computation, permutations and the QFT. Furthermore, decomposing the QFT calculation into a product of permutations indicates a potential for reducing the computational complexity of QFT implementations.
5. Conclusions
In this work, we have revisited the quantum Fourier transform which is central to many algorithms applied in the field of quantum computation. As a natural extension of the discrete Fourier transform, the QFT can be implemented using efficient tensor products of quantum operators. Part of the thrust of current research deals with reducing the QFT computational complexity. With this goal in mind, we have phrased the QFT as a permutation operator. Future research will be directed toward quantum circuit implementation using QFT permutation operators within the context of universal computation.
Acknowledgments
This research is funded by a grant from the National Science Foundation NSF #1560214.
\n',keywords:"quantum Fourier transform, quantum computation, quantum circuit, entanglement, unitary operators, permutation operators",chapterPDFUrl:"https://cdn.intechopen.com/pdfs/74711.pdf",chapterXML:"https://mts.intechopen.com/source/xml/74711.xml",downloadPdfUrl:"/chapter/pdf-download/74711",previewPdfUrl:"/chapter/pdf-preview/74711",totalDownloads:336,totalViews:0,totalCrossrefCites:0,dateSubmitted:"June 30th 2020",dateReviewed:"November 4th 2020",datePrePublished:"January 6th 2021",datePublished:"July 21st 2021",dateFinished:"January 6th 2021",readingETA:"0",abstract:"The application of the quantum Fourier transform (QFT) within the field of quantum computation has been manifold. Shor’s algorithm, phase estimation and computing discrete logarithms are but a few classic examples of its use. These initial blueprints for quantum algorithms have sparked a cascade of tantalizing solutions to problems considered to be intractable on a classical computer. Therefore, two main threads of research have unfolded. First, novel applications and algorithms involving the QFT are continually being developed. Second, improvements in the algorithmic complexity of the QFT are also a sought after commodity. In this work, we review the structure of the QFT and its implementation. In order to put these concepts in their proper perspective, we provide a brief overview of quantum computation. Finally, we provide a permutation structure for putting the QFT within the context of universal computation.",reviewType:"peer-reviewed",bibtexUrl:"/chapter/bibtex/74711",risUrl:"/chapter/ris/74711",signatures:"Eric Sakk",book:{id:"9927",type:"book",title:"Real Perspective of Fourier Transforms and Current Developments in Superconductivity",subtitle:null,fullTitle:"Real Perspective of Fourier Transforms and Current Developments in Superconductivity",slug:"real-perspective-of-fourier-transforms-and-current-developments-in-superconductivity",publishedDate:"July 21st 2021",bookSignature:"Juan Manuel Velazquez Arcos",coverURL:"https://cdn.intechopen.com/books/images_new/9927.jpg",licenceType:"CC BY 3.0",editedByType:"Edited by",isbn:"978-1-83962-398-1",printIsbn:"978-1-83962-397-4",pdfIsbn:"978-1-83962-399-8",isAvailableForWebshopOrdering:!0,editors:[{id:"114776",title:"Dr.",name:"Juan Manuel",middleName:null,surname:"Velazquez Arcos",slug:"juan-manuel-velazquez-arcos",fullName:"Juan Manuel Velazquez Arcos"}],productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"}},authors:[{id:"32945",title:"Prof.",name:"Eric",middleName:null,surname:"Sakk",fullName:"Eric Sakk",slug:"eric-sakk",email:"eric.sakk@morgan.edu",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",institution:null}],sections:[{id:"sec_1",title:"1. Introduction",level:"1"},{id:"sec_2",title:"2. Quantum computation",level:"1"},{id:"sec_2_2",title:"2.1 Unitary operators",level:"2"},{id:"sec_3_2",title:"2.2 Tensor product (Kronecker product)",level:"2"},{id:"sec_4_2",title:"2.3 Quantum circuits",level:"2"},{id:"sec_6",title:"3. The quantum Fourier transform",level:"1"},{id:"sec_6_2",title:"3.1 QFT qubit representation",level:"2"},{id:"sec_7_2",title:"3.2 Quantum implementation",level:"2"},{id:"sec_9",title:"4. QFT permutations",level:"1"},{id:"sec_10",title:"5. Conclusions",level:"1"},{id:"sec_11",title:"Acknowledgments",level:"1"}],chapterReferences:[{id:"B1",body:'Shor, PW.: Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer. SIAM J. Comput., 1997; 26:1484–1509'},{id:"B2",body:'Josza, R.: Quantum Algorithms and the Fourier Transform. Proc. R. Soc. Lond. A, 1998; 454:323–337'},{id:"B3",body:'Nielsen, MA., Chuang, IL.: Quantum Computation and Quantum Information. Cambridge University Press. 2011'},{id:"B4",body:'Barenco, A., Ekert, A., Suominen, KA., Torma, P. : Approximate quantum Fourier transform and decoherence. Phys. Rev. A, 1996; 54'},{id:"B5",body:'Fowler, A., Hollenberg, LCL. : Scalability of Shor’s algorithm with a limited set of rotation gate. Phys. Rev. A, 2004; 70'},{id:"B6",body:'Pavlidis,A., Gizopoulos, D.: Fast Quantum Modular Exponentiation Architecture for Shor’s Factorization Algorithm. Quantum Information and Computation, 2014; 14'},{id:"B7",body:'Prokopenya,AN.: Approximate Quantum Fourier Transform and Quantum Algorithm for Phase Estimation. International Workshop on Computer Algebra in Scientific Computing, 2015; 391–405'},{id:"B8",body:'Ruiz-Perez, L., Garcia-Escartin, JC.: Quantum arithmetic with the quantum Fourier transform. Quantum Inf. Process., 2017; 16'},{id:"B9",body:'Nam, Y., Su, Y., Maslov, D.: Approximate quantum Fourier transform with O(n log(n)) T gates. NPJ Quantum Information, 2020; 6(26)'},{id:"B10",body:'Barenco,A., Bennett,CH., Cleve, R., DiVincenzo,DP., Margolus, N., Shor,P., Sleator,T., Smolin,J.A., Weinfurter, H. : Elementary gates for quantum computation. Phys. Rev. A, 1995; 52'},{id:"B11",body:'Open-Source Quantum Development. https://qiskit.org/ [Accessed: 1 September 2020]'},{id:"B12",body:'Quantum Fourier Transform. https://qiskit.org/textbook/ch-algorithms/quantum-fourier-transform.html [Accessed: 1 September 2020]'},{id:"B13",body:'QC - Quantum Computing Series. https://medium.com/@jonathan_hui/qc-quantum-computing-series-10ddd7977abd [Accessed: 1 September 2020]'},{id:"B14",body:'Camps, D., Van Beeumen, R., Yang, C.: Quantum Fourier Transform Revisited.Numerical Linear Algebra with Applications. 2020'},{id:"B15",body:'Hales,L.,Hallgren,S.: An Improved Quantum Fourier Transform Algorithm and Applications. Proceedings 41st Annual Symposium on Foundations of Computer Science, 12-14 Nov. 2000,Redondo Beach, CA, USA'},{id:"B16",body:'Wang, SP., Sakk, E.: Quantum Algorithms: Overviews, Foundations, and Speedup. ICCSP 2021, Zhuhai, China; January 8-10, 2021'},{id:"B17",body:'DiVincenzo,DP.: Two-bit gates are universal for quantum computation. Phys. Rev. A, 1995. 51:1015–1022'},{id:"B18",body:'Planat,M., Ul Haq,R.: The Magic of Universal Quantum Computing with Permutations. Advances in Mathematical Physics, 2020'},{id:"B19",body:'de Almeida,AAA., Dueck,GW., daSilva,ACR.: CNOT Gate Optimizations via Qubit Permutations. Journal of Low Power Electronics, 2019; 15:182–192'},{id:"B20",body:'Ouyangab,Y.,Shen,Y.,Chen,L.: Faster quantum computation with permutations and resonant couplings. Linear Algebra and its Applications, 2020; 592:270–286'}],footnotes:[],contributors:[{corresp:"yes",contributorFullName:"Eric Sakk",address:"eric.sakk@morgan.edu",affiliation:'
Morgan State University, Baltimore, MD, USA
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Though this is frequently not the primary pain source, a mobile os acromiale fragment can cause inflammation at the pseudarthrosis site, rotator cuff impingement, or AC joint arthritis. Varying operative techniques exist with good to satisfactory results for symptomatic patients. Several operative techniques have been described including open excision, open reduction-internal fixation (ORIF), arthroscopic acromioplasty or subacromial decompression, and arthroscopic excision. Open excision of a meso-acromion can lead to persistent pain and deltoid weakness and atrophy. The management of a meso-acromial fragment with ORIF can also result in persistent pain and deltoid weakness and atrophy with nonunion of the fragments. Arthroscopic excision of the meso-acromion is described as a viable alternative for surgical candidates.",signatures:"William B. Stetson, Stephanie Morgan, Brian Chung, Nicole Hung,\nGenevieve Mazza and Alex McIntyre",authors:[{id:"240028",title:"Dr.",name:"William",surname:"Stetson",fullName:"William Stetson",slug:"william-stetson",email:"wbstetsonmd@gmail.com"},{id:"240029",title:"BSc.",name:"Brian",surname:"Chung",fullName:"Brian Chung",slug:"brian-chung",email:"chung.brian3@gmail.com"},{id:"240030",title:"B.Sc.",name:"Nicole",surname:"Hung",fullName:"Nicole Hung",slug:"nicole-hung",email:"nicolehung20@gmail.com"},{id:"240032",title:"BSc.",name:"Alex",surname:"McIntyre",fullName:"Alex McIntyre",slug:"alex-mcintyre",email:"alexmcintyre17@gmail.com"},{id:"242309",title:"BSc.",name:"Stephanie",surname:"Morgan",fullName:"Stephanie Morgan",slug:"stephanie-morgan",email:"stephanie@stetsonpowell.com"},{id:"242310",title:"BSc.",name:"Genevieve",surname:"Mazza",fullName:"Genevieve Mazza",slug:"genevieve-mazza",email:"gmazza@uci.edu"}],book:{id:"6755",title:"Recent Advances in Arthroscopic Surgery",slug:"recent-advances-in-arthroscopic-surgery",productType:{id:"1",title:"Edited Volume"}}}],collaborators:[{id:"238107",title:"Dr.",name:"Adinun",surname:"Apivatgaroon",slug:"adinun-apivatgaroon",fullName:"Adinun Apivatgaroon",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"240028",title:"Dr.",name:"William",surname:"Stetson",slug:"william-stetson",fullName:"William Stetson",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"240029",title:"BSc.",name:"Brian",surname:"Chung",slug:"brian-chung",fullName:"Brian Chung",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"240030",title:"B.Sc.",name:"Nicole",surname:"Hung",slug:"nicole-hung",fullName:"Nicole Hung",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"240647",title:"Dr.",name:"Anikar",surname:"Chhabra",slug:"anikar-chhabra",fullName:"Anikar Chhabra",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"242309",title:"BSc.",name:"Stephanie",surname:"Morgan",slug:"stephanie-morgan",fullName:"Stephanie Morgan",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"242310",title:"BSc.",name:"Genevieve",surname:"Mazza",slug:"genevieve-mazza",fullName:"Genevieve Mazza",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"243613",title:"Dr.",name:"Kevin",surname:"Vogeli",slug:"kevin-vogeli",fullName:"Kevin Vogeli",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"243615",title:"Dr.",name:"Milan",surname:"Stevanovic",slug:"milan-stevanovic",fullName:"Milan Stevanovic",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null},{id:"248852",title:"Mr.",name:"Kyle",surname:"Williams",slug:"kyle-williams",fullName:"Kyle Williams",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:null}]},generic:{page:{slug:"attribution-policy",title:"Attribution Policy",intro:"
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Therefore, the selection of proper type of central air conditioning system is a crucial target in the construction industry as improper selection can maximize initial and/or running costs of the system and decreases the human comfort and indoor air quality levels. In fact, a pre-assessment of the construction type and budget available is required for selecting the proper type of central air conditioning system. Therefore, there is a continuous need for an updated material in the literature that reviews the central air conditioning systems and applications, which is the motivation of the present chapter. The present chapter reviews the central air conditioning systems and applications. Specifically, all-air systems, all-water systems, and air-water systems are discussed. In addition, all provided systems are further explored through several developed schematic diagrams enabling the identification of their various components and the understanding of their working principles. It is may be of interest to note that this chapter is suitable for undergraduate level students in the fields of HVAC and R, mechanical, and construction engineering.",book:{id:"8394",slug:"low-temperature-technologies",title:"Low-temperature Technologies",fullTitle:"Low-temperature Technologies"},signatures:"Mohamed Elnaggar and Mohammed Alnahhal",authors:[{id:"178453",title:"Dr.",name:"Mohamed",middleName:null,surname:"Elnaggar",slug:"mohamed-elnaggar",fullName:"Mohamed Elnaggar"},{id:"308344",title:"Dr.",name:"Mohammed",middleName:null,surname:"Alnahhal",slug:"mohammed-alnahhal",fullName:"Mohammed Alnahhal"}]},{id:"69746",title:"Energy and Exergy Analysis of Refrigeration Systems",slug:"energy-and-exergy-analysis-of-refrigeration-systems",totalDownloads:1538,totalCrossrefCites:0,totalDimensionsCites:5,abstract:"Refrigeration systems have the priority in design for residential and industrial applications. The chapter includes five major refrigeration systems: vapor-compression refrigeration; ammonia-water absorption refrigeration; gas refrigeration where standard air is the most popular refrigerant; multi-pressure refrigeration including multistage, cascade, and multipurpose refrigeration system; and heat pump systems. Energy and exergy analysis has been presented for most of the systems. The energetic and the exergetic COP for each system are presented. Renewable energy sources are also discussed including geothermal, solar, and wind energy, a with combination with refrigeration systems in different industrial and residential applications. The overall efficiency of the renewable systems is achieved to be more than 50% providing promising solutions for energy use and having a low environmental impact.",book:{id:"8394",slug:"low-temperature-technologies",title:"Low-temperature Technologies",fullTitle:"Low-temperature Technologies"},signatures:"Shaimaa Seyam",authors:[{id:"257733",title:"MSc.",name:"Shaimaa",middleName:null,surname:"Seyam",slug:"shaimaa-seyam",fullName:"Shaimaa Seyam"}]},{id:"60220",title:"Application of Exergy Analysis to Energy Systems",slug:"application-of-exergy-analysis-to-energy-systems",totalDownloads:2446,totalCrossrefCites:10,totalDimensionsCites:13,abstract:"Exergy analysis is a practical approach to evaluate the merit of energy conversion or distribution processes and systems. With the aid of an energy analysis, the performance of an energy conversion system cannot be evaluated efficiently and precisely. But, an exergy analysis complements and enhances an energy analysis. Exergy analysis involves the application of exergy concepts, balances, and efficiencies to evaluate and improve energy and other systems. Many scientists suggest that processes or sytems can be well evaluated and improved using exergy analysis in addition to or in place of energy analysis. Application of exergy analysis has given us more beneficial opportunities through a big part of a wide range of processes and systems particularly for the evaluation of energy systems and technologies as well as an environmental impact in all existing thermal and nuclear power plants. Conventional energy technologies, especially for power generation plants, have made numerous energy and exergy analyses and have produced beneficial results. Also, the use of energy and exergy analyses for advanced nuclear energy technologies can be expected to provide meaningful insights into performance that can assist in achieving optimal design concepts. 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He also has an honorary appointment to serve as a Collaborative Professor at Kanazawa University, Japan, from Mar 2015 to the present. \nFormerly, Dr. Rahman was a faculty member of the University of Chittagong, Bangladesh, affiliated with the Department of Chemistry (Oct 2002 to Mar 2012) and the Department of Applied Chemistry and Chemical Engineering (Mar 2012 to Sep 2015). Dr. Rahman was also adjunctly attached with Kanazawa University, Japan (Visiting Research Professor, Dec 2014 to Mar 2015; JSPS Postdoctoral Research Fellow, Apr 2012 to Mar 2014), and Tokyo Institute of Technology, Japan (TokyoTech-UNESCO Research Fellow, Oct 2004–Sep 2005). \nHe received his Ph.D. degree in Environmental Analytical Chemistry from Kanazawa University, Japan (2011). He also achieved a Diploma in Environment from the Tokyo Institute of Technology, Japan (2005). Besides, he has an M.Sc. degree in Applied Chemistry and a B.Sc. degree in Chemistry, all from the University of Chittagong, Bangladesh. \nDr. Rahman’s research interest includes the study of the fate and behavior of environmental pollutants in the biosphere; design of low energy and low burden environmental improvement (remediation) technology; implementation of sustainable waste management practices for treatment, handling, reuse, and ultimate residual disposition of solid wastes; nature and type of interactions in organic liquid mixtures for process engineering design applications.",institutionString:null,institution:{name:"Fukushima University",institutionURL:null,country:{name:"Japan"}}},editorTwo:{id:"201020",title:"Dr.",name:"Zinnat Ara",middleName:null,surname:"Begum",slug:"zinnat-ara-begum",fullName:"Zinnat Ara Begum",profilePictureURL:"https://mts.intechopen.com/storage/users/201020/images/system/201020.jpeg",biography:"Zinnat A. 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Graduate in Sciences (Chemist), graduate in Geography and History (Geography), master in Water Management, Treatment, master in Fertilizers and Environment and master in Environmental Management; Ph.D. in Environmental Sciences. His research is focused on soil-water and waste-environment relations, mainly on soil-water and soil-waste interactions under different management and waste reuse. His work is reflected in more than 230 communications presented in national and international conferences and congresses, 29 invited lectures from universities, associations and government agencies. 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He also obtained an MSc in Molecular and Genetic Medicine, and a Ph.D. in Clinical Immunology and Human Genetics from the University of Sheffield, UK. He also completed a short-term fellowship in Pediatric Clinical Immunology and Bone Marrow Transplantation at Newcastle General Hospital, England. Dr. Rezaei is a Full Professor of Immunology and Vice Dean of International Affairs and Research, at the School of Medicine, Tehran University of Medical Sciences, and the co-founder and head of the Research Center for Immunodeficiencies. He is also the founding president of the Universal Scientific Education and Research Network (USERN). Dr. Rezaei has directed more than 100 research projects and has designed and participated in several international collaborative projects. He is an editor, editorial assistant, or editorial board member of more than forty international journals. He has edited more than 50 international books, presented more than 500 lectures/posters in congresses/meetings, and published more than 1,100 scientific papers in international journals.",institutionString:"Tehran University of Medical Sciences",institution:{name:"Tehran University of Medical Sciences",country:{name:"Iran"}}},{id:"180733",title:"Dr.",name:"Jean",middleName:null,surname:"Engohang-Ndong",slug:"jean-engohang-ndong",fullName:"Jean Engohang-Ndong",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/180733/images/system/180733.png",biography:"Dr. Jean Engohang-Ndong was born and raised in Gabon. After obtaining his Associate Degree of Science at the University of Science and Technology of Masuku, Gabon, he continued his education in France where he obtained his BS, MS, and Ph.D. in Medical Microbiology. He worked as a post-doctoral fellow at the Public Health Research Institute (PHRI), Newark, NJ for four years before accepting a three-year faculty position at Brigham Young University-Hawaii. Dr. Engohang-Ndong is a tenured faculty member with the academic rank of Full Professor at Kent State University, Ohio, where he teaches a wide range of biological science courses and pursues his research in medical and environmental microbiology. Recently, he expanded his research interest to epidemiology and biostatistics of chronic diseases in Gabon.",institutionString:"Kent State University",institution:{name:"Kent State University",country:{name:"United States of America"}}},{id:"188773",title:"Prof.",name:"Emmanuel",middleName:null,surname:"Drouet",slug:"emmanuel-drouet",fullName:"Emmanuel Drouet",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/188773/images/system/188773.png",biography:"Emmanuel Drouet, PharmD, is a Professor of Virology at the Faculty of Pharmacy, the University Grenoble-Alpes, France. As a head scientist at the Institute of Structural Biology in Grenoble, Dr. Drouet’s research investigates persisting viruses in humans (RNA and DNA viruses) and the balance with our host immune system. He focuses on these viruses’ effects on humans (both their impact on pathology and their symbiotic relationships in humans). He has an excellent track record in the herpesvirus field, and his group is engaged in clinical research in the field of Epstein-Barr virus diseases. He is the editor of the online Encyclopedia of Environment and he coordinates the Universal Health Coverage education program for the BioHealth Computing Schools of the European Institute of Science.",institutionString:null,institution:{name:"Grenoble Alpes University",country:{name:"France"}}},{id:"131400",title:"Prof.",name:"Alfonso J.",middleName:null,surname:"Rodriguez-Morales",slug:"alfonso-j.-rodriguez-morales",fullName:"Alfonso J. Rodriguez-Morales",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/131400/images/system/131400.png",biography:"Dr. Rodriguez-Morales is an expert in tropical and emerging diseases, particularly zoonotic and vector-borne diseases (especially arboviral diseases). He is the president of the Travel Medicine Committee of the Pan-American Infectious Diseases Association (API), as well as the president of the Colombian Association of Infectious Diseases (ACIN). He is a member of the Committee on Tropical Medicine, Zoonoses, and Travel Medicine of ACIN. He is a vice-president of the Latin American Society for Travel Medicine (SLAMVI) and a Member of the Council of the International Society for Infectious Diseases (ISID). Since 2014, he has been recognized as a Senior Researcher, at the Ministry of Science of Colombia. He is a professor at the Faculty of Medicine of the Fundacion Universitaria Autonoma de las Americas, in Pereira, Risaralda, Colombia. He is an External Professor, Master in Research on Tropical Medicine and International Health, Universitat de Barcelona, Spain. He is also a professor at the Master in Clinical Epidemiology and Biostatistics, Universidad Científica del Sur, Lima, Peru. In 2021 he has been awarded the “Raul Isturiz Award” Medal of the API. Also, in 2021, he was awarded with the “Jose Felix Patiño” Asclepius Staff Medal of the Colombian Medical College, due to his scientific contributions to COVID-19 during the pandemic. He is currently the Editor in Chief of the journal Travel Medicine and Infectious Diseases. His Scopus H index is 47 (Google Scholar H index, 68).",institutionString:"Institución Universitaria Visión de las Américas, Colombia",institution:null},{id:"332819",title:"Dr.",name:"Chukwudi Michael",middleName:"Michael",surname:"Egbuche",slug:"chukwudi-michael-egbuche",fullName:"Chukwudi Michael Egbuche",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/332819/images/14624_n.jpg",biography:"I an Dr. Chukwudi Michael Egbuche. I am a Senior Lecturer in the Department of Parasitology and Entomology, Nnamdi Azikiwe University, Awka.",institutionString:null,institution:{name:"Nnamdi Azikiwe University",country:{name:"Nigeria"}}},{id:"284232",title:"Mr.",name:"Nikunj",middleName:"U",surname:"Tandel",slug:"nikunj-tandel",fullName:"Nikunj Tandel",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/284232/images/8275_n.jpg",biography:'Mr. Nikunj Tandel has completed his Master\'s degree in Biotechnology from VIT University, India in the year of 2012. He is having 8 years of research experience especially in the field of malaria epidemiology, immunology, and nanoparticle-based drug delivery system against the infectious diseases, autoimmune disorders and cancer. He has worked for the NIH funded-International Center of Excellence in Malaria Research project "Center for the study of complex malaria in India (CSCMi)" in collaboration with New York University. The preliminary objectives of the study are to understand and develop the evidence-based tools and interventions for the control and prevention of malaria in different sites of the INDIA. Alongside, with the help of next-generation genomics study, the team has studied the antimalarial drug resistance in India. Further, he has extended his research in the development of Humanized mice for the study of liver-stage malaria and identification of molecular marker(s) for the Artemisinin resistance. At present, his research focuses on understanding the role of B cells in the activation of CD8+ T cells in malaria. Received the CSIR-SRF (Senior Research Fellow) award-2018, FIMSA (Federation of Immunological Societies of Asia-Oceania) Travel Bursary award to attend the IUIS-IIS-FIMSA Immunology course-2019',institutionString:"Nirma University",institution:{name:"Nirma University",country:{name:"India"}}},{id:"334383",title:"Ph.D.",name:"Simone",middleName:"Ulrich",surname:"Ulrich Picoli",slug:"simone-ulrich-picoli",fullName:"Simone Ulrich Picoli",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/334383/images/15919_n.jpg",biography:"Graduated in Pharmacy from Universidade Luterana do Brasil (1999), Master in Agricultural and Environmental Microbiology from Federal University of Rio Grande do Sul (2002), Specialization in Clinical Microbiology from Universidade de São Paulo, USP (2007) and PhD in Sciences in Gastroenterology and Hepatology (2012). She is currently an Adjunct Professor at Feevale University in Medicine and Biomedicine courses and a permanent professor of the Academic Master\\'s Degree in Virology. She has experience in the field of Microbiology, with an emphasis on Bacteriology, working mainly on the following topics: bacteriophages, bacterial resistance, clinical microbiology and food microbiology.",institutionString:null,institution:{name:"Universidade Feevale",country:{name:"Brazil"}}},{id:"229220",title:"Dr.",name:"Amjad",middleName:"Islam",surname:"Aqib",slug:"amjad-aqib",fullName:"Amjad Aqib",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/229220/images/system/229220.png",biography:"Dr. Amjad Islam Aqib obtained a DVM and MSc (Hons) from University of Agriculture Faisalabad (UAF), Pakistan, and a PhD from the University of Veterinary and Animal Sciences Lahore, Pakistan. Dr. Aqib joined the Department of Clinical Medicine and Surgery at UAF for one year as an assistant professor where he developed a research laboratory designated for pathogenic bacteria. Since 2018, he has been Assistant Professor/Officer in-charge, Department of Medicine, Manager Research Operations and Development-ORIC, and President One Health Club at Cholistan University of Veterinary and Animal Sciences, Bahawalpur, Pakistan. He has nearly 100 publications to his credit. His research interests include epidemiological patterns and molecular analysis of antimicrobial resistance and modulation and vaccine development against animal pathogens of public health concern.",institutionString:"Cholistan University of Veterinary and Animal Sciences",institution:null},{id:"62900",title:"Prof.",name:"Fethi",middleName:null,surname:"Derbel",slug:"fethi-derbel",fullName:"Fethi Derbel",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/62900/images/system/62900.jpeg",biography:"Professor Fethi Derbel was born in 1960 in Tunisia. He received his medical degree from the Sousse Faculty of Medicine at Sousse, University of Sousse, Tunisia. He completed his surgical residency in General Surgery at the University Hospital Farhat Hached of Sousse and was a member of the Unit of Liver Transplantation in the University of Rennes, France. He then worked in the Department of Surgery at the Sahloul University Hospital in Sousse. Professor Derbel is presently working at the Clinique les Oliviers, Sousse, Tunisia. His hospital activities are mostly concerned with laparoscopic, colorectal, pancreatic, hepatobiliary, and gastric surgery. He is also very interested in hernia surgery and performs ventral hernia repairs and inguinal hernia repairs. He has been a member of the GREPA and Tunisian Hernia Society (THS). During his residency, he managed patients suffering from diabetic foot, and he was very interested in this pathology. For this reason, he decided to coordinate a book project dealing with the diabetic foot. Professor Derbel has published many articles in journals and collaborates intensively with IntechOpen Access Publisher as an editor.",institutionString:"Clinique les Oliviers",institution:null},{id:"300144",title:"Dr.",name:"Meriem",middleName:null,surname:"Braiki",slug:"meriem-braiki",fullName:"Meriem Braiki",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/300144/images/system/300144.jpg",biography:"Dr. Meriem Braiki is a specialist in pediatric surgeon from Tunisia. She was born in 1985. She received her medical degree from the University of Medicine at Sousse, Tunisia. She achieved her surgical residency training periods in Pediatric Surgery departments at University Hospitals in Monastir, Tunis and France.\r\nShe is currently working at the Pediatric surgery department, Sidi Bouzid Hospital, Tunisia. Her hospital activities are mostly concerned with laparoscopic, parietal, urological and digestive surgery. She has published several articles in diffrent journals.",institutionString:"Sidi Bouzid Regional Hospital",institution:null},{id:"229481",title:"Dr.",name:"Erika M.",middleName:"Martins",surname:"de Carvalho",slug:"erika-m.-de-carvalho",fullName:"Erika M. de Carvalho",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/229481/images/6397_n.jpg",biography:null,institutionString:null,institution:{name:"Oswaldo Cruz Foundation",country:{name:"Brazil"}}},{id:"186537",title:"Prof.",name:"Tonay",middleName:null,surname:"Inceboz",slug:"tonay-inceboz",fullName:"Tonay Inceboz",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/186537/images/system/186537.jfif",biography:"I was graduated from Ege University of Medical Faculty (Turkey) in 1988 and completed his Med. PhD degree in Medical Parasitology at the same university. I became an Associate Professor in 2008 and Professor in 2014. I am currently working as a Professor at the Department of Medical Parasitology at Dokuz Eylul University, Izmir, Turkey.\n\nI have given many lectures, presentations in different academic meetings. I have more than 60 articles in peer-reviewed journals, 18 book chapters, 1 book editorship.\n\nMy research interests are Echinococcus granulosus, Echinococcus multilocularis (diagnosis, life cycle, in vitro and in vivo cultivation), and Trichomonas vaginalis (diagnosis, PCR, and in vitro cultivation).",institutionString:"Dokuz Eylül University",institution:{name:"Dokuz Eylül University",country:{name:"Turkey"}}},{id:"71812",title:"Prof.",name:"Hanem Fathy",middleName:"Fathy",surname:"Khater",slug:"hanem-fathy-khater",fullName:"Hanem Fathy Khater",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/71812/images/1167_n.jpg",biography:"Prof. Khater is a Professor of Parasitology at Benha University, Egypt. She studied for her doctoral degree, at the Department of Entomology, College of Agriculture, Food and Natural Resources, University of Missouri, Columbia, USA. She has completed her Ph.D. degrees in Parasitology in Egypt, from where she got the award for “the best scientific Ph.D. dissertation”. She worked at the School of Biological Sciences, Bristol, England, the UK in controlling insects of medical and veterinary importance as a grant from Newton Mosharafa, the British Council. Her research is focused on searching of pesticides against mosquitoes, house flies, lice, green bottle fly, camel nasal botfly, soft and hard ticks, mites, and the diamondback moth as well as control of several parasites using safe and natural materials to avoid drug resistances and environmental contamination.",institutionString:null,institution:{name:"Banha University",country:{name:"Egypt"}}},{id:"99780",title:"Prof.",name:"Omolade",middleName:"Olayinka",surname:"Okwa",slug:"omolade-okwa",fullName:"Omolade Okwa",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/99780/images/system/99780.jpg",biography:"Omolade Olayinka Okwa is presently a Professor of Parasitology at Lagos State University, Nigeria. She has a PhD in Parasitology (1997), an MSc in Cellular Parasitology (1992), and a BSc (Hons) Zoology (1990) all from the University of Ibadan, Nigeria. She teaches parasitology at the undergraduate and postgraduate levels. She was a recipient of a Commonwealth fellowship supported by British Council tenable at the Centre for Entomology and Parasitology (CAEP), Keele University, United Kingdom between 2004 and 2005. She was awarded an Honorary Visiting Research Fellow at the same university from 2005 to 2007. \nShe has been an external examiner to the Department of Veterinary Microbiology and Parasitology, University of Ibadan, MSc programme between 2010 and 2012. She is a member of the Nigerian Society of Experimental Biology (NISEB), Parasitology and Public Health Society of Nigeria (PPSN), Science Association of Nigeria (SAN), Zoological Society of Nigeria (ZSN), and is Vice Chairperson of the Organisation of Women in Science (OWSG), LASU chapter. She served as Head of Department of Zoology and Environmental Biology, Lagos State University from 2007 to 2010 and 2014 to 2016. She is a reviewer for several local and international journals such as Unilag Journal of Science, Libyan Journal of Medicine, Journal of Medicine and Medical Sciences, and Annual Research and Review in Science. \nShe has authored 45 scientific research publications in local and international journals, 8 scientific reviews, 4 books, and 3 book chapters, which includes the books “Malaria Parasites” and “Malaria” which are IntechOpen access publications.",institutionString:"Lagos State University",institution:{name:"Lagos State University",country:{name:"Nigeria"}}},{id:"273100",title:"Dr.",name:"Vijay",middleName:null,surname:"Gayam",slug:"vijay-gayam",fullName:"Vijay Gayam",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/273100/images/system/273100.jpeg",biography:"Dr. Vijay Bhaskar Reddy Gayam is currently practicing as an internist at Interfaith Medical Center in Brooklyn, New York, USA. He is also a Clinical Assistant Professor at the SUNY Downstate University Hospital and Adjunct Professor of Medicine at the American University of Antigua. He is a holder of an M.B.B.S. degree bestowed to him by Osmania Medical College and received his M.D. at Interfaith Medical Center. His career goals thus far have heavily focused on direct patient care, medical education, and clinical research. He currently serves in two leadership capacities; Assistant Program Director of Medicine at Interfaith Medical Center and as a Councilor for the American\r\nFederation for Medical Research. As a true academician and researcher, he has more than 50 papers indexed in international peer-reviewed journals. He has also presented numerous papers in multiple national and international scientific conferences. His areas of research interest include general internal medicine, gastroenterology and hepatology. He serves as an editor, editorial board member and reviewer for multiple international journals. His research on Hepatitis C has been very successful and has led to multiple research awards, including the 'Equity in Prevention and Treatment Award” from the New York Department of Health Viral Hepatitis Symposium (2018) and the 'Presidential Poster Award” awarded to him by the American College of Gastroenterology (2018). He was also awarded 'Outstanding Clinician in General Medicine” by Venus International Foundation for his extensive research expertise and services, perform over and above the standard expected in the advancement of healthcare, patient safety and quality of care.",institutionString:"Interfaith Medical Center",institution:{name:"Interfaith Medical Center",country:{name:"United States of America"}}},{id:"93517",title:"Dr.",name:"Clement",middleName:"Adebajo",surname:"Meseko",slug:"clement-meseko",fullName:"Clement Meseko",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/93517/images/system/93517.jpg",biography:"Dr. Clement Meseko obtained DVM and PhD degree in Veterinary Medicine and Virology respectively. He has worked for over 20 years in both private and public sectors including the academia, contributing to knowledge and control of infectious disease. Through the application of epidemiological skill, classical and molecular virological skills, he investigates viruses of economic and public health importance for the mitigation of the negative impact on people, animal and the environment in the context of Onehealth. \r\nDr. Meseko’s field experience on animal and zoonotic diseases and pathogen dynamics at the human-animal interface over the years shaped his carrier in research and scientific inquiries. He has been part of the investigation of Highly Pathogenic Avian Influenza incursions in sub Saharan Africa and monitors swine Influenza (Pandemic influenza Virus) agro-ecology and potential for interspecies transmission. He has authored and reviewed a number of journal articles and book chapters.",institutionString:"National Veterinary Research Institute",institution:{name:"National Veterinary Research Institute",country:{name:"Nigeria"}}},{id:"158026",title:"Prof.",name:"Shailendra K.",middleName:null,surname:"Saxena",slug:"shailendra-k.-saxena",fullName:"Shailendra K. Saxena",position:null,profilePictureURL:"https://s3.us-east-1.amazonaws.com/intech-files/0030O00002bRET3QAO/Profile_Picture_2022-05-10T10:10:26.jpeg",biography:"Professor Dr. Shailendra K. Saxena is a vice dean and professor at King George's Medical University, Lucknow, India. His research interests involve understanding the molecular mechanisms of host defense during human viral infections and developing new predictive, preventive, and therapeutic strategies for them using Japanese encephalitis virus (JEV), HIV, and emerging viruses as a model via stem cell and cell culture technologies. His research work has been published in various high-impact factor journals (Science, PNAS, Nature Medicine) with a high number of citations. He has received many awards and honors in India and abroad including various Young Scientist Awards, BBSRC India Partnering Award, and Dr. JC Bose National Award of Department of Biotechnology, Min. of Science and Technology, Govt. of India. Dr. Saxena is a fellow of various international societies/academies including the Royal College of Pathologists, United Kingdom; Royal Society of Medicine, London; Royal Society of Biology, United Kingdom; Royal Society of Chemistry, London; and Academy of Translational Medicine Professionals, Austria. He was named a Global Leader in Science by The Scientist. He is also an international opinion leader/expert in vaccination for Japanese encephalitis by IPIC (UK).",institutionString:"King George's Medical University",institution:{name:"King George's Medical University",country:{name:"India"}}},{id:"94928",title:"Dr.",name:"Takuo",middleName:null,surname:"Mizukami",slug:"takuo-mizukami",fullName:"Takuo Mizukami",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/94928/images/6402_n.jpg",biography:null,institutionString:null,institution:{name:"National Institute of Infectious Diseases",country:{name:"Japan"}}},{id:"233433",title:"Dr.",name:"Yulia",middleName:null,surname:"Desheva",slug:"yulia-desheva",fullName:"Yulia Desheva",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/233433/images/system/233433.png",biography:"Dr. Yulia Desheva is a leading researcher at the Institute of Experimental Medicine, St. Petersburg, Russia. She is a professor in the Stomatology Faculty, St. Petersburg State University. She has expertise in the development and evaluation of a wide range of live mucosal vaccines against influenza and bacterial complications. Her research interests include immunity against influenza and COVID-19 and the development of immunization schemes for high-risk individuals.",institutionString:'Federal State Budgetary Scientific Institution "Institute of Experimental Medicine"',institution:null},{id:"238958",title:"Mr.",name:"Atamjit",middleName:null,surname:"Singh",slug:"atamjit-singh",fullName:"Atamjit Singh",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/238958/images/6575_n.jpg",biography:null,institutionString:null,institution:null},{id:"333753",title:"Dr.",name:"Rais",middleName:null,surname:"Ahmed",slug:"rais-ahmed",fullName:"Rais Ahmed",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/333753/images/20168_n.jpg",biography:null,institutionString:null,institution:null},{id:"252058",title:"M.Sc.",name:"Juan",middleName:null,surname:"Sulca",slug:"juan-sulca",fullName:"Juan Sulca",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/252058/images/12834_n.jpg",biography:null,institutionString:null,institution:null},{id:"191392",title:"Dr.",name:"Marimuthu",middleName:null,surname:"Govindarajan",slug:"marimuthu-govindarajan",fullName:"Marimuthu Govindarajan",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/191392/images/5828_n.jpg",biography:"Dr. M. 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In recent years, the application of chemistry to biological molecules has gained significant interest in medicinal and pharmacological studies. This topic will be devoted to understanding the interplay between biomolecules and chemical compounds, their structure and function, and their potential applications in related fields. Being a part of the biochemistry discipline, the ideas and concepts that have emerged from Chemical Biology have affected other related areas. 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Behind these definitions are hidden all the aspects of normal and pathological functioning of all processes that the topic ‘Metabolism’ will cover within the Biochemistry Series. 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Thus proteomics, an area of research that detects all protein forms expressed in an organism, including splice isoforms and post-translational modifications, is more suitable than genomics for a comprehensive understanding of the biochemical processes that govern life. The most common proteomics applications are currently in the clinical field for the identification, in a variety of biological matrices, of biomarkers for diagnosis and therapeutic intervention of disorders. From the comparison of proteomic profiles of control and disease or different physiological states, which may emerge, changes in protein expression can provide new insights into the roles played by some proteins in human pathologies. Understanding how proteins function and interact with each other is another goal of proteomics that makes this approach even more intriguing. Specialized technology and expertise are required to assess the proteome of any biological sample. Currently, proteomics relies mainly on mass spectrometry (MS) combined with electrophoretic (1 or 2-DE-MS) and/or chromatographic techniques (LC-MS/MS). MS is an excellent tool that has gained popularity in proteomics because of its ability to gather a complex body of information such as cataloging protein expression, identifying protein modification sites, and defining protein interactions. 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