Results of mesh sensitivity analysis.
\r\n\tIn this book the authors will provide complete introduction of Polymers chemistry. The book is mainly divided into three parts. The readers will learn about the basic introduction of general polymer chemistry in the first part of the book.
\r\n\tThe second part of the book starts with a chapter which includes kinetics of polymerization. Polymer weight determination, molecular weight distribution curve and determination of glass transition temperature. The final part of the book deals polymer degradation which includes types of degradation. The chapters of the present book consist of both tutorial and highly advanced material.
Thomas Neuhann and Howard Gimbel, considered as pioneers in the development of the centered continuous curvilinear capsulorhexis (CCC) technique, first published their paper on the technique in 1990 [1]. The use of CCC technique makes the rim of the anterior capsule (AC) much stronger and decreases the risk of tearing, thus providing a solid foundation for applying the “chip and flip,” “divide and conquer,” “phaco chop,” and “phaco pre-chop” techniques. What is more, the IOL could be more correctly positioned and stability with the centered continuous curvilinear anterior opening [2, 3, 4, 5]. In terms of improving the prognosis, CCC technique could supply a continuous opening with more smooth edges [6]. The morphology of anterior capsule affect position of lens and refractive outcome greatly [7]. CCC helps maintain the intraocular lens (IOL) in the correct position and overlaped by anterior capsule as showed in Figure 1 which providing a more predictable effective lens position (ELP) [6]. In addition, The CCC technique could reduce the incidence of posterior capsular opacification (PCO) [8, 9, 10]. With the current widespread-use of multi-focus intraocular lenses and astigmatism-correcting intraocular lenses, Cataract surgery has entered the refractive age. Centered CCC(CCCC) play a crucial role in obtaining good postoperative visual quality. Tilt and decentration of the IOL can decrease visual acuity which could result in astigmatism [11, 12]. Okada et al. [13] confirmed that decentration of optic center by 0.4 mm could produce 0.25D change in spherical equivalent.
Color photo of patient 3 months after CCCC. The margin of optic region was overlaped by anterior capsule full-circlely.
In this chapter, we will elaborate on several aspects include: preoperative preparation; the effects of incision on capsulorhexis. The two parts above mainly discuss the tools, head position of patient, exposure of surgical field of vision, red reflex of microscope, hand position of surgeon and importance of incision. Then capsulorhexis technique and special cases of capsulorhexis will be interpreted. In the end, we will introduce the advantage of femtosecond laser system in capsulorhexis and precautions.
Initially, a type of irrigating cystotome (designed by Charles Kelman) and a needle were employed in CCC. The first forceps, specifically used to conduct capsulorhexis, were designed by Peter Utrata in 1988,and are still used today.
Forceps were designed in different lengths, with columnar and flat handle (Figure 2) and the tips were curved and flat (Figure 3). Compared with columnar handle, the flat handle is easier for thumb and index finger to hold and middle finger to support and relatively more lighter. After the viscoelastic agent was injected into the front chamber, the anterior capsule is flattened. The flat tip has more room to move around in the anterior chamber. The curved tip generate height difference in the anterior chamber. Limited by the incision, the movement of curved tip is restricted. The choice of length, depends on the habit and hand size of the operator and the last choice of columnar and flat handle or curved and flat tip depends on the habit too.
Different designs of forceps handle. A is columnar and B is flat.
Different designs of forceps tip. A is flat and B is curved.
Aim to reduce the incidence of infection after operation especially to decrease surgically induced astigmatism and the influence on corneal optical performance in refractive cataract surgery, corneal incision size was reduced from over 3 mm to less than 2 mm [14, 15, 16, 17, 18, 19]. The related equipment is also required to be further improved. Smaller incisions limit the movement of traditional capsular forceps. Calladine-Inamura Capsulorhexis Forceps increases the opening and closing range of the tip in the anterior chamber by the hinge design on the forearm as showed in Figure 4 to complete capsulorhexis through small incision. Ikeda MICS Capsulorhexis Forceps is tube designed with small diameter as 0.7 mm (showed in Figure 5) could enter anterior chamber for capsulorhexis through small paracentesis.
Calladine-Inamura Capsulorhexis forceps. Hinge design on the forearm in a and the detail in B.
Ikeda MICS Capsulorhexis forceps. Tube design without joint in A and the detail of tip in B.
Scales of 5 mm and 2.5 mm are marked on some of the flat-tipped forceps, as shown in Figure 6, which can be useful as a measurement reference for the operator.
The scaleis marked on the tip of forceps as scratches. The distal one is 2.5 mm, the proximal is 5 mm.
The position of the head is vital to ensure the centrality of the AC opening. The patient’s head should be kept horizontal for the lens plane to remain horizontal (Figure 7). The AC opening could be decentered downwards if the jaw is too elevated (Figure 8), or upwards if the forehead is too elevated (Figure 9).
The plane of the lens should be kept level by adjusting the position of head before operation.
The AC opening would be decentered towards inferior if the jaw is too elevated.
The AC opening would be decentered towards superior if the forehead is too elevated.
The pupils must be fully dilated to expose the surgical field. One drop of 0.5%tropicamide is instilled every 15 min (four times), to maintain the diameter of the pupil greater than 6.0 mm.
The rare cases in which cataracts are complicated with uveitis, the pupil cannot be dilated adequately because the iris is atrophic and inelastic. In such cases, the pupil can be stretched by two choppers, as shown in Figure 10, which is known as the pupil-stretch technique. Moreover, alternative devices and techniques are available. For example the iris can be fixed by iris hooks through a series of side-incisions to dilate the pupil (Figure 11), and the use of the Malyugin ring can reduce the number of side incisions required (Figure 12). There are also many other pupil expansion devices, such as Hydro view Iris Protector Ring, B-HEX Pupil Expander, I-Ring pupil expander etc., can be used in clinic.
To stretch the pupil in the opposite direction (white arrow) with two chopping hook. The relevant side-effect are hemorrhage (red arrow) and tansformation of pupil after operation.
Iris hooks to fix the iris through side incision which is composed of a hook (red arrow) and gasket (white arrow).
Malyugin ring after disinfection and sealing is showed in A. Malyugin ring stretch the pupil during operation as showed in B (red arrow).
However, the use of instruments or pupil-stretch technique can lead to tears of the iris muscle fiber, resulting in pupil malformation and even the risk of hemorrhage as show in Figure 10 (red arrow). In such cases, coreoplasty can be performed using Vannas capsulotomy scissors, as shown in Figure 13.
Coreoplastyis applied by capsulotomy Vannas scissors to amplify the vision field.
Moreover, when the pupillary area of chronic uveitis is adhered to the AC by an exudative membrane, capsulorhexis forceps could be used to dilacerate the membrane (Figure 14). After both these procedures, the pupils can be dilated injection of a viscoelastic agent.
Capsulorhexis forceps is used to tear the membranes to remove its restriction on the pupil.
The red reflex test, which is performed using a microscope, is very important at each step of cataract surgery. It allows the surgeon to clearly see the capsulorhexis path by illuminating the AC (white arrow in Figure 15), and visualization of the path can be enhanced by adjusting the ratio of coaxial to paraxial light on the microscope (Figure 16).
Capsulorhexis path is clear with good red reflex (white arrow).
Coaxial light and paraxial lights on the operation microscope.
In cases of mature or hyper mature cataracts, the light reflects off the posterior segment, generating a retro-illumination of the AC, which is insufficient for correctly performing capsulorhexis. In such cases, Trypan blue dye could be used to stain the AC.
To avoid wrist dangling, the surgeon’s hands or wrists should rest steadily against the patient’s forehead. This will allow the surgeon’s hands to move synchronously with the patient’s head if the they move head abruptly. The angle at which the hands placed varies according to the practitioner’s habits.
An ideal surgical incision is the fundamental prerequisite for successful capsulorhexis. In Europe and America, a temporal incision is preferred, while in Asia it is mostly performed at an 11 o’ clock position. Regardless of the orientation, when the incision is made, the direction of the tunnel knife should be along the meridian of the cornea, as shown in Figure 17.
The direction of incision should along meridian direction (C) from positioning (A) to the process of making the incision (B).
A meridional incision does not limit the movement of capsular forceps, which ensures that the anterior opening is centered and perfectly round. When the incision deviates from the meridian, the boundaries of the inner incision will limit the track for the capsulorhexis forceps as shown in Figure 18.
Incision deviates from the meridian showed in A. the boundaries of deflective inner incision limit the movement of capsulorhexis forceps as showed in B.
In addition, if the incision is too close to the center of the cornea, the range will be affected, leading to a small and off-center capsulorhexis, as shown by the red arrows in Figure 19.
Incision (red box) is too close to the center of the cornea relative to the limbus (red circle). The irregular AC opening (red arrow) followed the non-ideal incision.
When a viscoelastic agent is injected into the eye, the needle should move inside out, while filling the whole anterior chamber with the viscoelastic to flatten the AC. Otherwise, the path of the capsulorhexis would slide in the direction of the suspensory ligament.
Coordinate your hands, hold the tweezers in your dominant hand and slightly fixate the eyeball to maintain the cornea in the middle. The hand holding the tweezers should be soft and not put pressure on the eyes. Otherwise, the viscoelastic agent can extrude from the incision, resulting in uneven force on the AC and capsular tear. However, too much pressure on the eyeball will cause folds on the cornea, which affects the surgical field of vision.
The process of capsulorhexis is equivalent to drawing a circle. With the eye in position, consider the focal point reflected by the microscope light as the center, and tear the forceps from this point (red circle in Figure 20) to open the AC, with an outward radius of approximately 2.5 mm.
The light spot (red cirlce) would be center of capsule if the position of head and eye maintain level. The radius of capsulorhexis is showed as red arrow.
The limbus can be used as reference to guide the capsulorhexis [20]. For the unexperienced surgeon, the technique is difficult given the narrow diameter of 5–5.5 mm. To aid the process, the marks on forceps in Figure 6 or the marks made on the cornea before initiation of capsulorhexis, can be used for guidance.
The following points should be considered during capsulorhexis:
If excessive pressure is applied by the forceps on the internal incision, the viscoelastic agent could spill out from the incision site. This would leave the anterior chamber partially filled, and the resulting unbalanced forces applied on the AC, will cause capsulorhexis failure.
The trajectory of the capsulorhexis will depend on the balance of two forces exerted during the movement of the forceps by the surgeon, as shown in Figure 21 by red arrows. One is the tearing force along the tangent of the circle, and the other is the pulling force perpendicular to the tangent, towards the center of the circle. Only when the two forces are balanced, will the trajectory be correct and the capsulorhexis completed successfully. If the tearing force along the tangent of the circle is larger, the trajectory of the capsulorhexis would shift laterally, causing a tear. If the pulling force is larger, the trajectory of capsulorhexis would deviate towards the center, resulting in a very small capsulorhexis.
A skilled surgeon can complete the capsulotomy in 3 to 4 attempts, while a beginner should increase the number of attempts and stop before the capsule trajectory cannot be controlled. Extra care should be taken at the joint, and an additional capsulotomy may be added if necessary.
During the movement, avoid lifting the forceps too high, to avoid scratching the corneal endothelium.
The force of capsulorhexis is composed of forces in two direction as showed by red arrows. One is along the tangent of the circle, and the other is towards the center of the circle.
Congenital cataracts in children can be a challenge for surgeons, and should not be attempted by beginners, for several reasons:
The AC of children is more flexible, which makes it difficult to cut with forceps. The discission needle made by 1 ml syringe is the preferred instrument in this case, as shown in Figure 22.
Owing to the increased toughness and flexibility of the AC, the trajectory of capsulorhexis can be difficult to control. The pulling force should be slightly increased to avoid tearing and an oversized opening.
Cataracts with congenital lens abnormality are usually associated with suspensory ligament anomaly, which can be a challenge even for a skilled operator.
A showed the discission needle made by 1 ml syringe. B showed the detail of the needle.
The challenge in this situation is the difficulty of pupil dilation due to iris degeneration caused by uveitis, which has a significant impact on the surgical field of vision. The measures recommended for this situation have been already mentioned in the
In mature cataracts, the capsular membrane is relatively brittle and often accompanied by intumescent lens, as shown in Figure 23.
Color photo of white cataract with intumescent lens and shallow anterior chamber.
Due to the excessive expansion of the surface, the AC often tears-out, forming the Argentinian flag sign. To avoid this, the method of capsule decompression is recommended as follows:
Dye the capsule with Trypan blue to increase visibility
Puncture the central area of the AC with the tip of a needle or forceps as A in Figure 24, with a resulting liquefied cortical efflux (red arrow in B of Figure 24). A blunt needle can then be used to clear this efflux.
Alternatively a discission needle can be used to puncture the AC and then clear the liquefied cortex under the AC directly. Remember to bevel the needle downwards and to maintain the operation in the central area of the AC as C in Figure 24.
When the liquefied cortex is cleared, the central area of the AC will collapse (D in Figure 24). At this point, the AC can be flattened by injection of viscoelastic, and capsulorhexis initiated. The process of capsulorhexis could be then divided into two steps as needed, beginning with a small opening, and the then extending the radius to approximately 2.5 mm.
Decompression of intumescen lens. To pierce the intumescent AC with the tip of capsulorhexis forceps (A). The liquefied cortex spills out (red arrows in B). Discission needle was applied to clear the liquefied cortex beneath AC (C). AC collapse appeared as larger annular reflections (D).
A disease that often causes difficulty with capsulorhexis is exfoliation syndrome, because of two clinical aspects. Firstly, the pupils cannot be dilated past 5 mm, generating an insufficient red reflex for the operator to perform the procedure comfortably. The Malyugin ring, as mentioned in the section on the surgical field of vision, can be used in such situations. However, skilled surgeons often perform a blind capsulorhexis. The trajectory of the capsulorhexis is covered by the iris, as shown in Figure 25.
The pupil is too small to expose the trajectory of the capsulorhexis. Skilled surgeons could perform a blind capsulorhexis.
The other difficulty is extreme relaxation or even rupture of the suspensory ligament, which can be difficult to detect, even with UBM (Ultrasound Biomicroscopy). As the pupil cannot be dilated large enough and therefore the condition of suspensory ligaments around the capsule is not clear. However, the extent of the suspensory ligament relaxation can be judged by the folds caused by the tip of the capsular tweezers when touching the surface of the AC during capsulorhexis as showed in Figure 26.
Suspensory ligament of exfoliation syndrome is extremely flabby which could appear as the radial and wrinkled reflections during capsulorhexis (red arrow).
When such a situation occurs, the surgeon should be careful, and the number of capsulorhexis should be appropriately increased to improve controllability. This method is also suitable for small pupils in diabetic patients and patients with prostatitis treated with Finasteride. Beginners should be aware of this disease and refer the cases to experienced surgeons.
Femtosecond laser capsulorhexisis superior in accuracy and precision compared with manual capsulorhexis, as well as the tensile strength of the capsule opening. An accurate circular, continuous and centered capsulorhexis as achieved by a femtosecond system cannot be achieved manually [21] (Figure 27). Because of these advantages, capsulorhexis assisted by a femtosecond laser is even more critical for premium IOLs. Presently, femtosecond laser surgery is also used in mature, traumatic, and for other cataract patients with suspensory ligament abnormalities [22, 23, 24, 25, 26].
The display interface of femtosecond laser during capsulorhexis. A perfect AC opening (red arrow) was conducted. Lens plane was also displayed by anterior OCT (yellow arrow).
This system greatly reduces the risk of capsulorhexis with due attention to the following recommendations:
The patient needs to be able to cooperate.
The patient’s head and eye position should remain absolutely horizontal, as shown in Figure 5. Excessive upturn and downturn can lead to failure of capsulorhexis. Therefore, patients with head tremor and uncooperative eye position should be cautious. We can refer to the surface of the lens shown in anterior OCT of this system as yellow arrow in Figure 27.
The pupil must be dilated to at least 5 mm.
As cataract surgery enters the refractive age, the criteria “continuous, circular, and centered” have become the basic requirement of the capsulorhexis technique. Therefore, it is extremely important for the surgeon to master the technique of capsulorhexis.
The authors declare no conflict of interest.
After the industrial revolution of the nineteenth century, the world has experienced significant growth in new technologies embedded in the process industry such as gas processing, manufacture of transportation means, etc. In these installations, several fuel elements are present and require special attention in order to avoid accidents whose consequences have severe impacts on people, equipment, and environment. The most common accidents encountered in the chemical and petrochemical process industry are fires, explosions, and toxic releases. Considering the number of existing and future installations, the consequences of these types of accidents remain a major concern for decision-makers, industrial experts, and fire safety analysts.
\nIn the context of defining an accurate assessment of the safety of industrial facilities, risk analysts often use quantitative risk analysis (QRA) [1]. It is an analysis method that makes it possible to understand and quantify the consequences of accidental phenomena (thermal radiation, overpressure, toxicity dose).
\nAmong the accidental phenomena most observed in the process industry is the boiling liquid expanding vapor explosion (BLEVE). It corresponds to a violent vaporization of explosive nature following the rupture (loss of confinement) of a tank containing a liquid at a temperature significantly higher than its normal boiling point at atmospheric pressure [2]. Between 1940 and 2005, the different BLEVEs listed have cost more than 1000 lives and have injured more than 10,000 people in addition to harming property worth billions of dollars [3]. In addition to human lives and material goods, BLEVE has hazardous effects on the environment; it can release dangerous substances likely to attack the environment. Considering this, it is important to estimate the potential damage that would be caused by such an explosion. In this context, several studies have been conducted to analyze the BLEVE mechanisms. Thermal radiation hazards associated with liquefied petroleum gas (LPG) releases from pressurized storage were studied by Roberts [4]. He established correlations allowing to obtain the fireball characteristic parameters from the fuel mass (diameter, lifetime, and heat flux). From these mathematical laws, Crocker and Napier [5] evaluated fire and explosion hazards of LPG. They showed that these models overestimate the risks associated with jet fires, fireballs, and BLEVE blast effects. Prugh [6], in his part, studied the effects of fuel type and fuel quantity on fireball diameter, duration, and energy and the relationships between fireball energy, distance from the fireball, and consequences of personnel and property exposure.
\nRoberts et al. [7] presented results from a series of experimental tests performed by the Health and Safety Laboratory in the context of JIVE project (hazards consequences of jet fire interaction with vessels containing pressurized liquids). During these tests, several propane tanks were exposed to fires. They allowed to identify the conditions of temperature and rupture pressure, failure mode, as well as the fireball characteristics. In a study conducted by Abbasi et al. [3], the mechanism, the causes, the consequences, the hand calculation methods, and the preventive strategies associated with BLEVEs were presented in an excellent review. Based on medium-scale experimental tests, Birk et al. [8] concluded that the liquid part does not contribute to the generation of shock waves. They proposed a model based on the TNO model that uses the vapor part to calculate the expansion energy. Other works like Bubbico and Marchini [9] and Chen et al. [10] give information on the fact that BLEVE evolution process is characterized by two-phase flow with an overpressure effect.
\nIn works cited above, there are empirical and semiempirical approaches which provide data highlighting the characteristics of BLEVE. However, these approaches are not very satisfactory because they usually include an experimentally adjusted reduction factor and mostly overestimate the BLEVE effects [11, 12, 13]. Furthermore, they do not consider the effect of buildings, obstructions, and topography for specific facilities. In addition, the data provided by these approaches may not ensure enough repertory for conducting an in-depth QRA.
\nIn order to overcome the empirical approach limitations, it is necessary to use the computational fluid dynamics (CFD) modeling which appears as a powerful complementary tool for experimental and theoretical studies. Considering the complexity of the BLEVE phenomenon process, current published CFD simulation studies [14, 15, 16, 17, 18, 19] focus only on certain BLEVE aspects, such as fireball formation, without considering vessel disintegration. Indeed, with a sufficiently fine numerical resolution, it is possible to carry out simulations of explosion phenomena considering turbulence, combustion process, heat transfer, and geometry.
\nAmong the numerical studies on the BLEVE, Yakush and Makhviladze [14] compared the fireball lifetime predictions from two turbulence models (based on RANS and LES approach) and the fireball lifetime obtained by the experimental correlation of Roper et al. [15]. The simulations were performed by the CFD code FDS from NIST version 4. They showed that the simulation using LES model better predicts fireball dynamics than the simulation using RANS model. Other simulations were made using the CFD code FDS [16, 17, 18]. The FDS validation was carried out using the experimental data such as the BAM BLEVE experiment [19]. They evaluated the code capabilities to simulate the fireball characteristics (diameter, lifetime, flame dynamics, and structure). In addition to FDS, other CFD codes are used to simulate fireball characteristics such as OpenFOAM, Ansys CFX, etc. Indeed, Mishra et al. [20] performed a CFD investigation on a peroxy-fuel BLEVE using the CFD commercial code Ansys CFX, and Shelke et al. [21] used the OpenFOAM CFD code. They highlighted the abilities of these CFD codes to predict the reactive flows present in a fireball such as BLEVE.
\nIn this chapter, in addition to evaluating the capability of the CFD code FDS to predict the BLEVE characteristics, an evaluation of the BLEVE thermal effects on a real gas processing plant is presented. The evaluation of the CFD code is made using data obtained from empirical correlations and large-scale experimental data issued from the literature. The calculations are carried out using the FDS code version 6.
\nIn this context, an overview of the BLEVE phenomenon is presented in the second part of the chapter. In the third part, the capability of FDS to predict BLEVE characteristics is presented in comparison with experimental data. In the fourth part, the BLEVE thermal effects on a real case study are illustrated to finish with conclusions and perspectives in the last part.
\nBLEVE is described as a violent explosive vaporization resulting from the rupture of a tank containing a liquid at a temperature significantly above its boiling point at atmospheric pressure.
\nBLEVE can occur with any liquid, flammable or not, when heated and pressurized into a closed container. Two types of BLEVE can be distinguished, cold BLEVE and hot BLEVE, depending on the temperature at which the rupture of the enclosure occurs.
\nIn this illustration, the hot BLEVE with a flammable liquid is studied. The BLEVE explosion of hydrocarbon fuels (e.g., LPG, LNG, etc.) is characterized by the formation of fireball and the release of intense thermal radiation in a short time.
\nIn the focus to characterize the BLEVE phenomenon with enough accuracy, it is important to define an experimental setup with a fine and controlled instrumentation. However, the current measurement instruments do not allow the proper acquisition of results during a BLEVE test due to its magnitude. In addition, the high cost of this type of test and considering respect for the environment, there are few experimental tests that deal with this kind of phenomenon. In the literature [19, 22], there are large-scale experiment tests: the BAM test (Bundesanstalt für Materialforschung und –prüfung, Allemagne), the British Gas experiments, and the JIVE tests (hazards consequences of jet fire interaction with vessels containing pressurized liquids, 1994/1995).
\nIn this chapter, only the BAM experiment is used to evaluate the capability of FDS to predict BLEVE characteristics.
\nBy doing a little reminder on the BLEVE phenomenon, in 1998, the BAM conducted a BLEVE test with a road tank of 45 m3 of capacity, containing 5 tons of commercial propane (fill liquid level 22%) [19, 22]. The wagon was exposed to a fuel pool fire. In this test, an instrumentation has been performed to obtain physical quantities such as heat flux, temperature, and pressure.
\nIn the goal to make a comparison between empirical law and numerical modeling, the next sections will present the equations used for the empirical laws and the different models proposed to simulate the reactive flows inducted by the fireball.
\nIn order to predict the fireball effects, different authors proposed correlations to predict fireball diameter and lifetime based on fuel quantity [4, 23, 24, 25, 26, 27, 28, 29, 30]. These correlations are given in the following equations:
\nwhere \n
With the difficulty to choose good coefficients which give better correlation for the fireball characterization, a comparative analysis made by Satyanarayana et al. [31] to define the best correlations which describe the fireball diameter and lifetime is given as follows:
\n\nEquations (3) and (4) are used in this study in order to compare with the experiment data and CFD predictions.
\nTo estimate the incident radiation received by a target at a given distance, the solid-flame model may be used [23, 27]:
\nwhere \n
The numerical modelings were performed using the CFD code FDS 6.5.3 [32]. This one solves the Navier–Stokes equations based on an explicit finite difference scheme. Moreover, it models the thermally driven flow with an emphasis on smoke and heat transport. It is a LES model using a uniform mesh and has parallel computing capability using message-passing interface (MPI) [26, 33].
\nThe modeling of the fire is based on a reaction rate considered as infinitely fast, and the combustion is modeled using the EDC of Magnussen and Hjertager [34, 35, 36]. The turbulent combustion processes are based on the governing equations for the mass fraction of the chemical species, such as \n
Considering the complexity of the BLEVE phenomenon, only the fireball is modeled in this work. Indeed, as the published CFD studies say, the container disintegration is complicated to model and is not considered. For that, the present study is based on the BLEVE modeling by fuel release.
\nThe fuel used is propane. Its heat of combustion is set to 46,334 kJ/kg. The ejection surface was calculated using the approach of Makhviladze et al. [38]. The fuel releases as a hot gas with a temperature equal to 700°C. The ignition of the mixture air/fuel is ensured by an autoignition. The extinction model and turbulence model used in simulations are the default code models.
\nThe numerical simulations are carried out in a rectangular 3D domain with dimensions of 200 m × 200 m × 300 m assimilated to an open ambient environment. These dimensions are obtained from the max-diameter and the max-height of the fireball calculated using the empirical correlations presented in the second section.
\nIn the mesh resolution, it is necessary to determine the fire characteristic diameter according to its heat release rate (HRR). This diameter, denoted \n
where \n
From obtaining the characteristic diameter, the optimal mesh size of the domain is given by the dimensionless ratio \n
Based on several experiences, the US Nuclear Regulatory Commission recommends a \n
In order to model a fireball using FDS, it is important to define the good mesh size. For that, a comparison between experiment data and numerical data using four mesh sizes is made in Figure 1(a) and (b). The different mesh sizes are obtained from the US Nuclear Regulatory Commission recommendation. The numerical simulations are carried out in a rectangular 3D domain with dimensions of 200 m × 200 m × 300 m as mentioned previously.
\nMesh resolution on (a) the height of fireball center and (b) the heat flux at 30 m on ground level.
The comparisons between the experiment and the predictions for the four different meshes are made based on the evolution of the heat flux and the fireball height (cf. Figure 1). The heat flux was measured at 30 m over the ground from the projected center of the fireball on the ground under the fireball, and the height was obtained from the fireball center to the ground level. These figures show that the numerical results obtained from the mesh sizes of 0.5 m and 1 m converge with the experimental results, while the results from the mesh sizes of 2 m and 4 m diverge. Moreover, the mesh size of 0.5 m offers more precision than the results obtained with a mesh size of 1 m as shown by the root-mean-square Error (cf. Table 1).
\nNumerical grid | \nNumber of cells | \nRoot-mean-square error | \nCPU time (min) | \n|
---|---|---|---|---|
Height (m) | \nHeat flux (kW/m2) | \n|||
Mesh size 4 m | \n187,500 | \n60.22 | \n34.09 | \n2 | \n
Mesh size 2 m | \n1,500,000 | \n59.01 | \n21.56 | \n14 | \n
Mesh size 1 m | \n12,000,000 | \n9.74 | \n16.24 | \n161 | \n
Mesh size 0.5 m | \n96,000,000 | \n5.86 | \n13.23 | \n8000 | \n
Results of mesh sensitivity analysis.
From Figure 1(a) and (b), the numerical simulation with a mesh size of 0.5 m is more precise but requires a calculation time 50 times greater than the calculation carried out with a mesh size of 1 m (cf. Table 1). Thus, by wanting to conciliate precision and optimal calculation time, the mesh size of 1 m will be used for the rest of numerical simulations. This mesh size allows solving the Navier–Stokes equations with a good accuracy. Indeed, with the mesh size of 1 m, the different numerical models such as the turbulence model based on the Deardorff model, the combustion model based on the EDC definition, and the extinction model based on the critical temperature flame are very well calculated for giving a very nice modeling of the fireball. Moreover, taking into account the mesh size of 2 and 4 m, there is an important divergency on the solving of the previous numerical models.
\nWorking with the mesh size of 1 m, Figure 2(a)–(d) shows the evolution and the development of the fireball structure at different times (2, 3, 4, and 6 s) after the fuel release to the atmosphere. From these pictures, the evolutions of the temperature field obtained from the numerical modeling highlight the same observations made by Hurley et al. [40]. It is observed that the diameter of the flame increases the height and the time, and Hurley et al. have observed that the diameter of the fireball reaches its maximum at about 6 s with a value of 100 m as diameter. And, by making a comparison with the numerical data, this one agrees with experimental results.
\nSimulation of the fireball temperature field with mesh size 1 m in the cross-section at (a) 2 s, (b) 3 s, (c) 4 s, and (d) 6 s.
Moreover, considering that the flame temperature of a hydrocarbon fire can approach about 1300°C, it is shown in Figure 2(a)–(d) that the predicted field temperature represents the diameter of the fireball during its evolution. In this context, the reactive flows modeled using this mesh resolution come close themselves to the flame dynamics of BLEVE phenomenon.
\nIn conclusion, FDS can predict BLEVE characteristics after a good definition of the mesh size and the fuel release rate. For another case of validation, Table 2 illustrates the comparison between numerical data and BAM test. In this one, it is observed that the predictions of the parameters such as max-diameter, lifetime, and max-height of the fireball agree with experiment with a better precision than empirical estimates.
\nFireball Characteristics | \nExperiment | \nEmpirical | \nPresent data | \nRMSE (Empirical) | \nRMSE (Present data) | \n
---|---|---|---|---|---|
Max-diameter (m) | \n100 | \n98 | \n101 | \n1.41 | \n0.71 | \n
Duration (s) | \n7.2 | \n7.4 | \n7.8 | \n0.14 | \n0.42 | \n
Max-height (m) | \n100 | \n74 | \n99 | \n18.38 | \n0.71 | \n
Comparison between numerical data and BAM test.
From the previous analyses, it has been shown that FDS code is able to simulate the evolution and development of a fireball in comparison with experimental test, considering that it is possible to predict the evolution and thermal effects of a BLEVE in a real installation. In addition, from the numerical results obtained in the previous section, it is necessary to use a nice mesh size in order to make an accurate modeling of a fireball under FDS and a good knowledge of the mass and the release rate of the fuel. Moreover, the definition of a calculation domain that considers the recirculation and the reactive flows during the fireball expansion is very important to justify a good numerical calculation. So, respecting the previous numerical recommendations, it is possible to simulate thermal effects of BLEVE in a real installation such as in Hassi R’Mel Gas Processing Plant.
\nThe gas processing plant studied in this work is defined as the Module Processing Plant 3 (MPP3) of SONATRACH Company at Hassi R’Mel gas field (located about 550 km south of Algiers). This MPP3-plant consists of three identical gas processing trains that mainly produce natural gas (with a production capacity of 60 million m3/day), LPG, and condensate. Figure 3 illustrates the configuration of the MPP3-plant. The origin of the explosion is taken at the level of a pressurized propane accumulator D108 located in the MPP3-plant as shown in Figure 3.
\nNumerical MPP3-plant.
The choice of the accumulator D108 is based on the opinions of the risk analysts who consider it as one of the most critical systems in the MPP3-plant, which can generate catastrophic BLEVE accidents [41]. Table 3 summarizes the technical characteristics of the D108 vessel used in our calculation.
\nCharacteristics | \nValues | \n
---|---|
Operating temperature (°C) | \n40 | \n
Operating pressure (bar) | \n14.5 | \n
Volume (m3) | \n50 | \n
Propane density (kg/m3) | \n483.6 | \n
Technical characteristics of the accumulator D108.
The numerical modeling of the MPP3-plant described above is carried out in an open calculation domain of 300 m × 300 m × 360 m. The dimensions of this domain are chosen based on the fireball diameter and height calculated using empirical correlations. The calculations are carried out under atmospheric conditions with a relative humidity of 40% and an ambient temperature of 20°C. The plant configuration is modeled as solid obstructions considering the real equipment dimensions of the three MPP3-plant trains.
\nThe calculations were performed with a time step of 0.01 s and took 2729 minutes with a mesh size of 1 m (i.e., 32,400,000 meshes) using 90 CPUs. The simulation is performed using the default numerical models. The ejection surface was calculated using the approach of Makhviladze et al. [38] as mentioned in Section 3. The origin of the explosion is taken at the level of the D108 as mentioned previously. Using the same modeling approach presented in Section 3, the BLEVE is modeled through the ejection of 24,180 kg of hot propane with a velocity of 100 m/s.
\nIn the previous section, it is shown that the comparison of the predicted fireball diameter and lifetime with the empirical values is similar to the experimental data. However, the predicted height is better than the empirical value in comparison with experiment data.
\nConsidering the real installation, there are no experimental data and so no possibility to compare with empirical values and numerical data. In these conditions, the comparison is made only between the numerical and empirical data based on the evaluation of BLEVE characteristics. Moreover, considering the observations made in the previous section, the results issued from the BLEVE simulation in the MPP3-plant show similar observations. Indeed, in Table 4, the predicted fireball diameter and lifetime are like the empirical values, but the empirical height is underestimated by comparing to the predicted value.
\nFireball characteristics | \nEmpirical | \nPresent data | \n
---|---|---|
Max-diameter (m) | \n163 | \n174 | \n
Duration (s) | \n12.7 | \n14 | \n
Max-height (m) | \n122 | \n160 | \n
Comparison between numerical and empirical data for MPP3-plant.
Taking into account the comparisons obtained previously, it is possible to say that the evolution and the development of the fireball predicted by FDS in the MPP3-plant would be representative of reality. Figure 4 shows the simulation of the fireball at two different times in the studied plant. With this simulation, it is possible to follow the evolution of different physical parameters in a spatiotemporal manner such as heat flux, heat release rate, species concentrations, flame temperature, etc. In this paper, only the prediction of heat flux is studied.
\nFireball simulation at (a) 2 s and (b) 8 s.
\nFigure 5 presents the comparison between the prediction and the empirical approach based on the evolution of heat flux over time at 50 and 70 m at ground level. It is found that the prediction provides a temporal evolution of the heat flux representative of the reality in comparison with the empirical one which gives a constant value. Indeed, during the first moments, a maximum peak of the heat flux is observed. This maximum value represents the heat flux emitted by the fireball when the latter is near to the ground. With the fireball elevation in height, the heat flux received at ground level decreases. This is represented by the evolution of the heat flux predicted by FDS code. From these comparisons, it is justified that the data provided by the numerical simulation give a more realistic support during a QRA.
\nComparison between empirical and thermal flux prediction at the distance of (a) 50 m and (b) 75 m on the ground level.
Indeed, as indicated in introduction, risk analysis requires knowledge of representative input data of the phenomenon to be studied. Thus, depending on the data, a risk analysis can be well estimated, underestimated, and overestimated. As a result, it is preferable to use the data obtained from numerical simulation in comparison with the data obtained from empirical laws.
\nIn addition to the evolutions of the heat flux presented in Figure 5, the same observation is found in Figure 6(a) and (b). These figures show the heat flux distribution at 1 s and 4 s in order to better observe the heat flux field over the entire MPP3-plant. With this illustration, it is shown that it is necessary to present the results during the first few seconds. Indeed, considering the heat flux distribution throughout the plant, it is observed during the first instants that the heat flux intensity is important at the explosion source and decreases in the remote zones.
\nThermal radiation contour plot in the x-y plane at (a) 1 s and (b) 4 s.
In Figure 6, it is observed that the heat flux intensity decreases at the explosion origin and increases in the remote zones with the fireball evolution in terms of diameter and height. This observation is like the reality and is true only for a fireball height less than 70 m.
\nIn conclusion, the BLEVE thermal effects in Hassi R’Mel Gas Processing Plant are well predicted by FDS. In addition, the predictions of FDS give information which allows a better understanding on BLEVE phenomenon. It can be considered also a tool that can be used in a QRA.
\nIn this chapter, a CFD evaluation of the thermal effects of the BLEVE phenomenon in a real installation is presented. This evaluation firstly required the code validation to correctly simulate the BLEVE characteristics in comparison with the data that come from literature experimental test. Numerical calculations were performed using the CFD FDS code version 6.5.3 with the default numerical models. The results show a good agreement between the predictions and the experiments, justifying a nice capability to FDS to simulate the fireball dynamics with a good accuracy.
\nAfter highlighting that FDS can predict the spatiotemporal evolution of a fireball in comparison with an experimental test, a simulation of the BLEVE is performed in a real installation. This involves studying the fireball thermal effects resulting from the explosion of a pressurized propane tank in an Algerian gas treatment unit. The results obtained showed great relevance of carrying out this type of study in this type of installation. From the numerical data, it is shown that the heat flux reaches a maximum value during the first moments at ground level and decreases with the elevation of the fireball. In addition, comparisons between prediction and empirical models, based on heat flux evolution, show that prediction is representative of reality compared to empirical models. Thus, for a risk analysis in this type of installation, it is preferable to use the numerical approach.
\nMoreover, the current results can be considered as a first step to make a modeling of the BLEVE phenomenon, and in order to improve the global description of this phenomenon, it will be necessary to consider, in a next work, the container disintegration in order to model the complete BLEVE process.
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After finishing his P. hD degree in 1992, he served in the Industry as a Scientific Officer and continued his academic career as a visiting scholar for a number of educational institutions. In 1996 he joined National University of Science & Technology Pakistan (NUST) as an Associate Professor; NUST is one of the top few universities in Pakistan. In 1999 he joined an International Company Lineo Inc, Canada as Manager Compiler Group, where he headed the group for developing Compiler Tool Chain and Porting of Operating Systems for the BLACKfin processor. The processor development was a joint venture by Intel and Analog Devices. In 2002 Lineo Inc., was taken over by another company, so he joined Aalborg University Denmark as an Assistant Professor.\nProfessor Akbar has truly a multi-disciplined career and he continued his legacy and making progress in many areas of his interests both in teaching and research. 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We welcome chapters presenting research on the many applications of multi-agent studies including, but not limited to, the following key areas: machine learning for multi-agent systems; modeling swarms robots and flocks of UAVs with multi-agent systems; decision science and multi-agent systems; software engineering for and with multi-agent systems; tools and technologies of multi-agent systems.",coverUrl:"https://cdn.intechopen.com/series_topics/covers/27.jpg",hasOnlineFirst:!1,hasPublishedBooks:!1,annualVolume:11423,editor:{id:"148497",title:"Dr.",name:"Mehmet",middleName:"Emin",surname:"Aydin",slug:"mehmet-aydin",fullName:"Mehmet Aydin",profilePictureURL:"https://mts.intechopen.com/storage/users/148497/images/system/148497.jpg",biography:"Dr. Mehmet Emin Aydin is a Senior Lecturer with the Department of Computer Science and Creative Technology, the University of the West of England, Bristol, UK. 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It will provide significant opportunities and support for scientists, clinical doctors, mycologists, antifungal drug researchers, public health practitioners, and epidemiologists from all over the world to share new research, ideas and solutions to promote the development and progress of medical mycology.",coverUrl:"https://cdn.intechopen.com/series_topics/covers/4.jpg",keywords:"Emerging Fungal Pathogens, Invasive Infections, Epidemiology, Cell Membrane, Fungal Virulence, Diagnosis, Treatment"},{id:"5",title:"Parasitic Infectious Diseases",scope:"Parasitic diseases have evolved alongside their human hosts. In many cases, these diseases have adapted so well that they have developed efficient resilience methods in the human host and can live in the host for years. Others, particularly some blood parasites, can cause very acute diseases and are responsible for millions of deaths yearly. Many parasitic diseases are classified as neglected tropical diseases because they have received minimal funding over recent years and, in many cases, are under-reported despite the critical role they play in morbidity and mortality among human and animal hosts. The current topic, Parasitic Infectious Diseases, in the Infectious Diseases Series aims to publish studies on the systematics, epidemiology, molecular biology, genomics, pathogenesis, genetics, and clinical significance of parasitic diseases from blood borne to intestinal parasites as well as zoonotic parasites. We hope to cover all aspects of parasitic diseases to provide current and relevant research data on these very important diseases. In the current atmosphere of the Coronavirus pandemic, communities around the world, particularly those in different underdeveloped areas, are faced with the growing challenges of the high burden of parasitic diseases. At the same time, they are faced with the Covid-19 pandemic leading to what some authors have called potential syndemics that might worsen the outcome of such infections. Therefore, it is important to conduct studies that examine parasitic infections in the context of the coronavirus pandemic for the benefit of all communities to help foster more informed decisions for the betterment of human and animal health.",coverUrl:"https://cdn.intechopen.com/series_topics/covers/5.jpg",keywords:"Blood Borne Parasites, Intestinal Parasites, Protozoa, Helminths, Arthropods, Water Born Parasites, Epidemiology, Molecular Biology, Systematics, Genomics, Proteomics, Ecology"},{id:"6",title:"Viral Infectious Diseases",scope:"The Viral Infectious Diseases Book Series aims to provide a comprehensive overview of recent research trends and discoveries in various viral infectious diseases emerging around the globe. The emergence of any viral disease is hard to anticipate, which often contributes to death. A viral disease can be defined as an infectious disease that has recently appeared within a population or exists in nature with the rapid expansion of incident or geographic range. 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Biochemistry examines macromolecules - proteins, nucleic acids, carbohydrates, and lipids – and their building blocks, structures, functions, and interactions. Much of biochemistry is devoted to enzymes, proteins that catalyze chemical reactions, enzyme structures, mechanisms of action and their roles within cells. Biochemistry also studies small signaling molecules, coenzymes, inhibitors, vitamins, and hormones, which play roles in life processes. Biochemical experimentation, besides coopting classical chemistry methods, e.g., chromatography, adopted new techniques, e.g., X-ray diffraction, electron microscopy, NMR, radioisotopes, and developed sophisticated microbial genetic tools, e.g., auxotroph mutants and their revertants, fermentation, etc. More recently, biochemistry embraced the ‘big data’ omics systems. Initial biochemical studies have been exclusively analytic: dissecting, purifying, and examining individual components of a biological system; in the apt words of Efraim Racker (1913 –1991), “Don’t waste clean thinking on dirty enzymes.” Today, however, biochemistry is becoming more agglomerative and comprehensive, setting out to integrate and describe entirely particular biological systems. The ‘big data’ metabolomics can define the complement of small molecules, e.g., in a soil or biofilm sample; proteomics can distinguish all the comprising proteins, e.g., serum; metagenomics can identify all the genes in a complex environment, e.g., the bovine rumen. This Biochemistry Series will address the current research on biomolecules and the emerging trends with great promise.",coverUrl:"https://cdn.intechopen.com/series/covers/11.jpg",latestPublicationDate:"May 18th, 2022",hasOnlineFirst:!0,numberOfOpenTopics:4,numberOfPublishedChapters:287,numberOfPublishedBooks:27,editor:{id:"31610",title:"Dr.",name:"Miroslav",middleName:null,surname:"Blumenberg",fullName:"Miroslav Blumenberg",profilePictureURL:"https://mts.intechopen.com/storage/users/31610/images/system/31610.jpg",biography:"Miroslav Blumenberg, Ph.D., was born in Subotica and received his BSc in Belgrade, Yugoslavia. He completed his Ph.D. at MIT in Organic Chemistry; he followed up his Ph.D. with two postdoctoral study periods at Stanford University. Since 1983, he has been a faculty member of the RO Perelman Department of Dermatology, NYU School of Medicine, where he is codirector of a training grant in cutaneous biology. Dr. Blumenberg’s research is focused on the epidermis, expression of keratin genes, transcription profiling, keratinocyte differentiation, inflammatory diseases and cancers, and most recently the effects of the microbiome on the skin. 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