Coefficients of rheological models at temperatures
\r\n\t
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It integrates the individual functions of all the body’s different cells, tissues, and organs into a functional whole, the human body. Understanding the principles of physiology can help us explain the physical and chemical mechanisms that are responsible for the origin, development, and progression of life. Each type of life is from the simplest virus to the largest tree or the complicated human being. The science of
Physiology studies dynamic processes of life from the simplest molecules, organelles, cells, tissues to the complex organs and organ systems. The discipline of physiology has been closely interconnected with medicine. Structure and function are related to each other – as in case of anatomy, histology, structural biology and physiology [3].
Medical physiology deals with how the human body functions. Countless molecules, subcellular organelles, cells, tissues, organs and organ systems work coordinately to maintain the homeostasis of a body. It is essential to take a global view of the human body, considering every level of the organizational unit.
Classification of physiology could be according to the organ systems. For many practicing clinicians, physiology may be the function of an individual organ system, such as the cardiovascular, respiratory, or gastrointestinal system. Others focus on the cellular principles that are common to the function of all organs and tissues. This last field has traditionally been called general physiology, but nowadays the term of cellular and molecular physiology.
As a discipline of physiology evolves and new information emerges, there is a tendency to integrate physiological concepts from the level of DNA and epigenetics to the human body, and everything in between [4].
Physiological genomics is the link between the organ and the gene. The grand organizer—the master that controls the molecules, the cells, and the organs and the way they interact—is the genome with its epigenetic modifications. Physiological genomics (or functional genomics) is a new branch of physiology devoted to the understanding of the roles that genes play in physiology [3].
Some important aspects of physiology remain as fundamentally important today as when the pioneers of physiology discovered them a century or more ago. These early observations were generally phenomenological descriptions that physiologists have since been trying to understand at a mechanistic level. In his lectures on the phenomena of life, Claude Bernard noted in 1878 on the conditions of the constancy of life. Claude Bernard introduced the concept of “milieu intérieur” – internal environment. He stated that animals have two environments: the “milieu extérieur” that physically surrounds the whole organism and the “milieu intérieur,” in which the tissues and cells of the organism live. The internal environment surrounds and bathes all the anatomic elements of the tissues, the lymph or the plasma. This internal environment is what we today call the extracellular fluid.
Another theme developed by Bernard was that the “fixité du milieu intérieur” (the constancy of the extracellular fluid) is the condition of “free, independent life.” Homeostatic mechanisms—operating through sophisticated feedback control mechanisms—are responsible for maintaining the constancy of the milieu intérieur. Homeostasis is defined as a self-regulating process by which an organism maintains internal stability in a constantly changing external condition. Homeostasis regulates the processes in the body in the way that returns critical systems of the body to a set point that is necessary for the organism to survive [3, 5].
Medicine borrows its physicochemical principles from physiology. Study of physiological system structure and function, as well as pathophysiological alterations, has its foundations in physical and chemical laws and the molecular and cellular makeup of each tissue and organ system. If you know how organs and organ systems function in the healthy person, you will find out which components may be malfunctioning in a patient.
Life starts with breathing. As it was written in the Bible God “breathed into Adam’s nostrils the breath of life” and then used part of Adam’s ventilatory apparatus – a rib – to give life to Eve. Hippocrates suggested that the primary purpose of breathing was to cool the heart. In the 18th century the true role of breathing began emerged. By the end of the 18th century, chemists and physiologists studied the chemistry of gases and appreciated that combustion, putrefaction, and respiration all involve chemical reactions that consume O2 and produce CO2. Boyle, Henry, Avogadro, and others subsequently stated the theoretical foundation for the physiology of O2 and CO2. Considering the recent scientific advances, respiration was defined as process, when energy was produced with the intake of oxygen and the release of carbon dioxide.
Later work showed that mitochondrial respiration is responsible for the O2 consumption and CO2 production observed by Spallanzani. This aspect of respiration is often called
Traditionally the process of respiration is divided into three phases: (1) cellular respiration, (2) transport of respiratory gases and (3) ventilation of the gas exchange organs (breathing) [6].
The main goals of respiration are oxygen uptake and elimination of carbon dioxide. Secondary goals include acid-base buffering, hormonal regulation, and host defense. To achieve the goals of respiration, three main functional components of the respiratory system are used: (1) mechanical structures, (2) membrane gas exchanger and (3) regulatory system (network of chemical and mechanical sensors throughout the circulatory and respiratory systems). All three components are tightly integrated, and dysfunction of one can lead to respiratory distress or failure [7].
Different kinds of neural receptors are present in the respiratory airways, lungs and pulmonary blood vessels:
Changes in lung volume are perceived by pulmonary stretch receptors and muscle spindles.
Rapidly adapting irritant receptors respond both to changes in lung volume and to the presence of chemicals such as histamine, prostaglandins, and exogenous noxious agents.
These receptors send the signals to the respiratory centers in the brain via the vagus nerve. On the other hand, the respiratory centers affect the breathing pattern by increasing the respiratory rate and/or stimulating cough, bronchoconstriction, and/or mucus production [8].
Input from these neural receptors likely accounts for the hyperventilation and hypocapnia that can occur in patients with pulmonary fibrosis even when hypoxemia is reversed by the administration of oxygen. Hyperventilation may occur by this mechanism in patients with such problems as asthma, interstitial lung disease, pulmonary edema, pneumonia, and pulmonary embolism.
Respiratory centers in the medulla receive stimulatory input from central respiratory pacer cells, central and peripheral chemoreceptors, upper airway receptors, other areas of the brain, and volitional pathways and integrate these signals into a combined output to respiratory muscles to modulate breathing frequency, inspiratory time, and expiratory time.
Significant changes occur in respiratory physiology during the transition from infancy to childhood, with the development of chest wall structures and maturation of the airways and lung parenchyma. Infancy is a time of rapid changes of central nervous system, neural respiratory control, as well as developmental plasticity and vulnerability. Rib cage geometry becomes more adult-like by about 3 years of age. The high chest wall compliance of the newborn decreases with age and becomes approximately equal to lung compliance, as in adults, by the second year of life, resulting in higher resting lung volume. These changes are important to recognize in the clinical setting because infants are more vulnerable to many disease states due to higher chest wall compliance, immature control of respiration, and increased airway resistance [9].
The main function of the respiratory system is gas exchange. However, the lung performs several nonrespiratory tasks. These functions include: its own defense against inspired particulate matter, the storage and filtration of blood for the systemic circulation, the handling of vasoactive substances in the blood, and the formation and release of substances used in the alveoli or circulation.
There are several ways in which respiratory system prevents from invading pathogens compromising the upper airway. Mucociliary clearance provides a strong physical barrier, several proteins, antimicrobial peptides, and reactive oxygen species, such as nitric oxide, play a significant role in preventing infection. The upper respiratory tract also has the ability to sense invading pathogens through Toll-like receptors and taste receptors that initiate immune responses [10, 11].
Considering all aspects of respiratory physiology, we can assume that with every breath we take, we provide the organism with a power to maintain homeostasis. The body carefully controls endless list of vital parameters and is always ready to adapt to changing circumstances.
Application of essential principles of physiology and staying up to date to constantly changing knowledge in the field is a bridge to treating a patient. Remembering physiological and pathophysiological mechanisms and their impact on health and disease will help the practitioners throughout their professional careers.
Crude oil, due to the content of various particles of different nature and properties, shapes, and sizes, is an oil dispersed system, with their inherent physical and chemical phenomena of physical interaction between particles, structure formation, particle settling, and stratification of the entire system, affecting the phenomena of all types of substance transfer [1, 2, 3]. The rheology of oil and oil products is a field of science that studies and quantitatively predicts the formation and transformation of the state of oil dispersed systems over time. Heavy oils with a high content of various impurities (water, solid-phase), asphalt-resin compounds, and various paraffin are prominent representatives of media with rheological properties.
In the practice of oil production, transportation, refining, and the use of petroleum products, it is necessary to solve various, sometimes opposite problems of regulating the structural and mechanical properties of oil dispersed systems. The rheological properties of oil dispersed systems are defined as a high content of dispersed particles (water drops, gas bubbles, and solid particles), as well as asphalt-resin and paraffin particles dissolved in heavy oil, and their ability to form various structures as a result of the physical interaction of particles with each other. An important role in structure formation and the construction of rheological models of non-Newtonian fluids is played by such factors as the size and shape of particles, their concentration, and properties. In works [1, 2, 3, 4, 5, 6], a lot of rheological models are given that describe the flow of oils from various fields, characterized by different properties. As is known, the nature of the relationship between shear stress
Heavy oils with a high content of asphalt-resinous substances are viscous-plastic liquids and are mainly described by the following rheological models [4, 5, 6, 7, 8]: a) Bingham model
The purpose of this work is to build a rheological model of heavy oils, accompanied by structure formation by particles contained in the volume, free settling of particles, and oil filtration through anisotropic porous media.
Coagulation structures are formed due to intermolecular bonds between particles, and if liquid interlayers remain between the particles, then the thickness of this interlayer significantly affects the strength of the coagulation structure. Aggregative unstable oil systems are characterized by the variability of the state of the environment, due to continuous structure formation and changes in the physical properties of particles, that is, a change in the volume and size of asphaltene particles as a result of their interaction, collision, coagulation, and crushing at a certain concentration in a closed volume. The relationship between the structure and viscosity of petroleum dispersed systems, as well as the features of their non-Newtonian flow, are explained by a change in the structure as a result of the formation and destruction of aggregates from asphaltene particles in the presence of resins. Oil structured systems containing crystals of high molecular weight paraffin, resins, and asphaltene particles, and at very low laminar flow rates or in the absence of flow form a chain or, in the limiting case, a continuous grid (framework). Sequential coagulation or agglomeration of individual asphaltene nanoparticles into nanoaggregates and clusters of nanoaggregates eventually leads to the formation of a viscoelastic framework that imparts certain rheological properties to heavy oils. The paper notes that real oil dispersed systems are classified according to activation energies into two structural groups that differ in the nature of the intermolecular interaction of particles in an oil disperse medium. These groups differ from each other in the content of asphaltenes and resins, and they can be classified into immobile with a low content of asphaltenes and interacting with a high content of asphaltenes. Figure 1 shows the characteristic changes in activation energies for the two indicated groups.
The dependence of the activation energy on the content of asphaltenes for the immobile group (I) and interacting group (II) [
The rheological model of the flow of oil dispersed systems can be based on the following assumptions [2, 7]:
In structured oil system, there are nanoaggregates that have arisen as a result of collision, coagulation, and aggregation of asphaltene particles due to diffusion in laminar and turbulent shear flow and sedimentation (gravitational coagulation), the formed asphaltene aggregates can be deposited on the surface, forming a rather thick layer of deposits on the walls of the porous oil reservoir. Moreover, pressure drops depending on temperature can lead to redissolution or detachment of particles of precipitated asphaltenes during intensive mixing or turbulent flow;
Nanoaggregates move as independent flow units until they collide with other similar aggregates or asphaltene particles;
Nanoaggregates, when colliding with each other, unite into clusters of nanoaggregates and then create a viscoelastic frame of a disordered structure with the highest possible viscosity and a loose coagulation structure. The maximum size of the framework of nanoaggregates is determined by the dimensions of the channels (pores and pipes) through which the flow flows. It is important to note that the formation of disordered structures in the volume of oil is the reason for the diversity of rheological models;
Nanoaggregates can rotate in a gradient field and break under the action of tensile hydrodynamic forces depending on the pressure gradient or flow rate;
The linear dimensions of nanoaggregates are in the range of the size of an individual asphaltene particle up to the maximum size of a cluster or framework of a disordered structure;
In the limiting case of infinite velocity, all aggregates, under the condition
In the presence of aromatic hydrocarbons, asphaltenes dissolve well, thereby preventing structure formation , i.e. formation of clusters and viscoelastic framework. The solubility of asphaltenes is affected by the presence of other compounds contained in the oil, such as resins.
The rheological equation of Maxwell’s viscoelastic fluid in substantial derivatives is written as:
where
The Eq. (1), presented in the form :
The solution of Eq. (2) can be represented as:
Substituting this solution into Eq. (2), we obtain an identity. Here,
or this equation can be written in logarithmic form:
It is obvious that the value
(where
Heavy oils with constant differential viscosity are characterized by viscous-plastic properties. Bingham viscous-plastic fluids include petroleum dispersed systems, polymeric fluids, many types of food materials, cement mortars, oil paints, and others that exhibit viscous, plastic, and highly elastic properties. They differ from conventional liquids in that some finite stress is required to initiate flow. The rheology of viscoplastic fluids is described by the Bingham equation.
Moreover, if
Based on expression (6), the viscosity of viscous-plastic oil can be determined as:
However, some viscous-plastic fluids exhibit properties that do not obey Eq. (6). Such fluids are usually described by other nonlinear rheological equations of the Ostwald-de Ville or Herschel-Bulkley type, which are widely used to describe the flow of plastic fluids, heavy petroleum oils, and petroleum dispersions. This is explained by the presence of various particles of the dispersed phase in the liquid, and therefore, such systems are prone to the formation of coagulation structures up to the formation of a cluster of aggregates and a framework under the condition
In addition, the coefficients included in the rheological equation will depend on the concentration, size, and properties of particles, as well as on temperature and many other parameters.
Currently, there is no consensus on the mechanism of non-Newtonian flow of oil dispersed systems, and therefore, the set of flow equations
Let us assume that the change in relative viscosity is proportional to linear deformation in a nonlinear form:
where
In the limiting case
Here
Taking into account the initial and infinite viscosity, the solution, Eq. (11) can be written as:
where
We represent the last expression in the form:
Expanding the exponent in a series
Most of the formulas for determining the viscosity of a viscous-plastic fluid, taking into account the linear expansion of the exponential, are based on Ref. [12]. In particular, for describing the rheology of viscous-plastic polymeric fluids, the most effective is the Carreau-Yasuda rheological model [9, 10] presented in the form:
Here,
In Ref. [11] for viscous-plastic fluids, Bingham or Herschel–Bulkley proposed the following rheological models.
It is also important to note the dependence of viscosity on shear stress in the following empirical formula (13)
Figure 2 shows the dependence of viscosity on the shear rate for some viscous-plastic fluid.
Dependence of fluid viscosity on shear rate for various equations: 1-(17),
In [13], the viscosity of a non-Newtonian polymer fluid containing particles of various concentrations is determined depending on the shear stress in the form (Figure 3).
Dependence of viscosity on shear stress for various equations: 1–
It should be noted that the coefficients
Figure 4 shows the curves describing the experimental values [11] of changes in the viscosity of polymeric liquids by Eqs. (15) and (16).
Dependence of viscosity of polymeric fluids on shear rate: 1–0.75% polyacrylamide in 95/5 mixture by weight of water and glycerin (
The above calculations and comparison with experimental data allow us to confirm the correctness of the accepted hypothesis about the proportionality of the relative viscosity of deformation (9).
In principle, rheological models for various flows of a non-Newtonian fluid do not obey physical laws but are empirical and semiempirical approximations and formulas that describe flow curves in a certain range of shear rates. Experimental measurements are approximated by certain approximate empirical or semiempirical equations, and the choice of the most convenient of them is largely determined by the degree of maximum approximation of calculated and experimental measurements or by the simplicity of the formulas used when solving applied problems.
tasks.
An experimental study of the influence of the content of asphaltenes and resins in oil on its rheological properties and viscosity was proposed in the works [13, 14, 15].
Using the results of these studies, it can be noted that the presence of asphaltenes, resins, and paraffins in oil, which change the properties of the oil, significantly affects their movement and transport. First of all, this is reflected in the stress and shear rate and the increase in the viscosity of non-Newtonian oil. Figure 5 suggests the dependence of the effective viscosity of Iranian oil on the shear rate by various rheological models [16].
Approximation of the dependence of viscosity on shear rate by various rheological models: 1 - Casson model –
The Table 1 shows the values of the main coefficients included in these rheological models at various temperatures [16].
Temperature | |||||||||
---|---|---|---|---|---|---|---|---|---|
Model | |||||||||
Casson | 8.13 | 4.11 | – | 0.57 | 2.2 | – | 0.15 | 1.53 | – |
Power law | – | 54.65 | 0.77 | – | 9.26 | 0.88 | – | 3.86 | 0.9 |
Bingham | 61 | 17.23 | – | 8.66 | 4.81 | – | 3.13 | 2.33 | – |
Coefficients of rheological models at temperatures
Of all the models, a satisfactory approximation to the experimental data is given by the expression.
Given this expression, the rheological dependence that satisfies the experimental data can be represented as:
The dependence of the consistency coefficient on temperature can be expressed by the following equation.
Figure 6 shows the dependence of the consistency coefficient on temperature.
The dependence of the consistency coefficient on temperature.
The dependence of oil viscosity on the content of asphaltenes (% wt.) in oil using experimental data is expressed by the formula (Figure 7).
The dependence of the viscosity of oil on the content of asphaltenes at temperatures:
where
In Ref. [17], similar studies were carried out for West Siberian oils for the concentration of asphaltenes in oil from 4 to 72% (wt.). This paper presents experimental studies of the effective viscosity of non-Newtonian oil on the content of asphaltenes at various temperatures. As follows from Figures 7–9, the region transitions from Newtonian to non-Newtonian properties of oil as the content of asphalt-resinous substances
As follows from Figure 8, when structure formation and asphaltene concentration increase, the mobility or fluidity of the oil system decreases, and the fluidity of the system is defined as:
Characteristic stages of structure formation in oil depending on the content of asphaltenes:
where
Dependence of effective viscosity on the content of the dispersed phase of tar-asphaltenes at temperatures:
The equation describing the experimental data on the viscosity of oil in large intervals of asphaltene content change is presented in the form:
Here,
The value of the delta function characterizes the viscosity jump in the region of structure formation. In particular, the main property of the delta function is the following:
The partial approximation expression of the delta function can be represented as:
Here,
Delta functions: 1,2 - positive values of the function
Thus, the use of the delta function makes it possible to describe all the stepwise phenomena occurring during the formation and destruction of structures in non-Newtonian oil. At the same time, satisfactory results are obtained by using a higher-order exponential function, which makes it possible to obtain a soothing effect in the region of the jump.
The use of aromatic and other solvents partially dissolves asphaltenes, thereby reducing or eliminating the formation of coagulation structures, which improves the rheological properties of oil dispersed media. As follows from Figure 9, for this oil, provided that the asphaltene content is less than
Oil structured systems containing coagulation structures of crystals of high molecular weight paraffin and asphaltene particles and forming a chain or, in the limiting case, a continuous network (framework), acquire the ability to flow only after the destruction of this network at
These structures disintegrate into individual particles as a result of the fragmentation of aggregates under the action of shear flow, and the equilibrium shifts towards the formation of individual particles as the shear rate increases. The frequency of collisions of two asphaltene particles in the volume as a result of Brownian diffusion is determined by the following expression [3, 18].
The formation of aggregates from asphaltene particles also occurs in pipelines with an intense turbulent flow of oil. The frequency of particle collisions in an isotropic turbulent flow of oil in pipes is determined by the turbulence parameters, the capture coefficient, and the physicochemical properties of oil and asphaltenes. In refs. [2, 3, 18], an expression for the frequency of coagulation and fragmentation of particles in an isotropic turbulent flow due to turbulent diffusion of particles is given in the form:
It follows from this expression that the higher the oil viscosity, the lower the frequency of collisions and the lower the probability of formation of coagulation aggregates. Asphaltene particles become larger as a result of coagulation, reach the maximum size of an unstable aggregate, after which their crushing begins. It can be assumed that under the action of hydrodynamic forces, all bonds between particles in an aggregate are stretched to a critical value, as a result of which this aggregate primarily breaks up into smaller aggregates, and then secondary, tertiary etc. decomposition occurs up to a single particle. The destruction of coagulation structures formed by paraffins and asphaltenes is characterized by the fact that after applying a certain load for oil injection, no immediate destruction is observed. In the limiting case of infinite shear rate
Anomalous viscous-plastic oils differ in their properties from ordinary oils and their rheological description obeys the laws of flow of non-Newtonian Bingham fluids.
From the Newtonian equation (
Determining from expression (34)
we finally obtain an expression for the effective viscosity in the form:
from which it follows that with increasing
when
Here,
Dependence of shear stress on shear rate at
Expression (40) can be considered as a new rheological equation describing the viscoplastic flow of non-Newtonian oils.
Obviously, the index
Using the experimental data of Ref. [19] and Eqs. (38) and (40), we represent the filtration rate in the following form:
where
Change in filtration rate of abnormal oils at different temperatures: 1 - T = 24 C, 2 - T = 50 C;, and 3 - T = 80 C.
The Table 2 shows the values of the coefficients included in Eq. (41) depending on the temperature.
0.08 | 0.000033 | 24 | 0.0140 |
0.04 | 0.0000895 | 50 | 0.00625 |
0.02 | 0.000245 | 80 | 0.00470 |
Coefficients of rheological models included in Eq. (41) depending on the temperature.
The dependence of the initial pressure gradient on temperature is given as:
Heavy oils differ from ordinary liquids in that their viscosity changes with increasing shear rate, and the shear rate index n characterizes the degree of non-Newtonian behavior of the material. At
Theoretical and experimental studies of hydrodynamics and the drag coefficient of solid particles, drops, and bubbles in a Newtonian fluid are given in Ref. [3], in a power-law non-Newtonian fluid are given in refs. [20, 21, 22, 23, 24, 25, 26]. Using asymptotic methods, a formula was obtained in [27, 28] for calculating the drag coefficient of a bubble in a power-law non-Newtonian liquid
where
The second formula (43) characterizes the behavior of drops in non-Newtonian fluid. The above expressions, obtained theoretically, do not allow solving this problem for the general case.
A satisfactory dependence of
It follows from formula (44) that at
Dependence
In refs. [27, 28], various formulas are also given that characterize the deformation of bubbles in a non-Newtonian fluid.
where
For small values of the number
Here
As follows from Figure 14, the coefficient
Dependence of
A lot of experimental data for the drag coefficient of particles in a non-Newtonian fluid collected from the literature for
Drag coefficient of solid particles in non-Newtonian liquid (solid line - drag coefficient in Newtonian fluid and dotted lines correspond to 30% of the experimental data scatter threshold) [
In this paper, using experimental data from Ref. [22], we propose an equation for determining the drag coefficient of solid particles in a power-law non-Newtonian fluid for a wide range of number variation
For values
Figure 16 compares the calculated values of the drag coefficient according to Eq. (49) with the experimental data given in refs. [31, 32, 33, 34, 35]. As follows from this figure and calculations using the formula in Eq. (49), decreasing the drag coefficient of solid particles in viscous-plastic liquids is less than in Newtonian ones.
The dependence of the drag coefficient of a solid particle in a non-Newtonian fluid on the number
The drag coefficient of solid spherical particles in a Newtonian fluid is shown in Figure 17 [1, 3]. Comparing Figures 16 and 17 in the region of the drag crisis, it should be noted that when a non-Newtonian flow flows around a solid particle, the drag crisis occurs much earlier than in a Newtonian fluid.
The drag coefficient for a solid spherical particle.
The motion of a single particle in a force field with a slow flow of the medium, taking into account the added mass, the weight force, corrected for the Archimedes force and the resistance force, is described by the Eq. (3)
In the steady-state, this equation for a Newtonian fluid, as a result of the balance of forces acting on a particle and for small numbers
From this equation provided that
Figure 18 shows characteristic curves and experimental data on the settling rate.
Settling velocity profiles depending on particle radius: 1 - Hadamard-Rybczynski equation, 2 - experiment, and 3 -
Given expressions for a non-Newtonian fluid are as follows:
Let us rewrite Eq. (52) for a power-law non-Newtonian fluid, it will be represented as:
Transforming Eq. (54), we finally obtain an expression for the settling rate of a single solid particle in a non-Newtonian fluid flow.
It should be noted that if
Obviously, an important role in the migration and sedimentation of particles belongs to the resistance forces, depending on the number
Numerical calculations using the above formulas show that for fine-dispersed particles of asphaltenes and paraffins, with increasing particle size, the degree of entrainment of particles by a pulsating medium decreases, and fine-dispersed particles react to turbulent pulsations of the medium, perform under their influence a pulsating motion relative to the moles of the carrier phase and random motion in all directions due to turbulent diffusion. These parameters are very important factors that determine the degree of migration and settling of particles in a turbulent flow. It should be noted that for Stokes spherical solid particles at
For a viscous-plastic fluid obeying the Ostwald–de Ville model
with a relaxation time equal to
For a viscous flow of a power-law fluid, we obtain the expression for the relaxation time in the form:
Using the experimental data for the deposition of glass particles in a non-Newtonian liquid [36], it can be noted that the deposition rate dependence is linear only at low shear rates.
A somewhat different formula for the deposition of single particles in a non-Newtonian liquid was proposed in Ref. [37], which can be obtained from (58) at
Using the experimental data on the settling of solid particles in a non-Newtonian fluid [38] in Figure 19 shows a comparative characteristic according to the model (58).
Dependence of the particle settling rate in a non-Newtonian liquid on stress and shear rate for particles of size
For large numbers of Re, expression (52) can be written as:
Expression (62) does not allow an analytical determination of the settling rate and is solved only numerically.
During the flow of heavy oil, asphalt-resinous substances and particles of the solid phase are deposited on the inner surface of the pipes. As a result of the deposition of particles on the surface of the pipe, a layer of deposits is formed, which continuously grows and is compacted by the normal component of pressure. The quantitative content of asphaltenes and resins, due to their high energy of adhesion and cohesion, significantly affect the rheological properties of heavy oils and the formation of a dense layer on the surface. The high ability to form coagulation structures and aggregates contributes to the deterioration of the hydrodynamic characteristics of the flow of non-Newtonian oils up to zero flow velocity due to an increase in the effective viscosity of the medium. The mechanism of sedimentation of particles from heavy oil can be carried out by diffusion (for a vertical surface), gravitational (for a horizontal surface), and diffusion-gravitational way. The formation of a dense layer on the inner surface of the pipe has a significant effect on the transfer of mass and heat, and on the hydrodynamics and rheological structure of the flow.
The hydrodynamic equation for the flow of viscous-plastic oil in a pipe, described by the Bingham rheological equation
The boundary conditions for the flow of viscous-plastic oil in the pipe are (Figure 20)
Velocity distribution of a viscous-plastic fluid over a pipe section.
Integrating condition (64), we have:
Integrating condition (65), we obtain:
Integrating expression (63) twice, we obtain:
Here,
and for the second boundary condition (3.43)
As a result of solving the hydrodynamic Eq. (63) for a viscous-plastic fluid described by the expression in a pipe with boundary conditions (64) and (68) and assuming that, taking into account (68)–(70), in the simplest case, we obtain the following distribution for the flow velocity (Figure 20)
where
It should be noted that if
This distribution of velocities in hydrodynamics is called the “structural regime of motion.” The volumetric flow rate of viscous-plastic oil over the pipe section is determined as:
As a result of the formation of a dense layer on the inner surface of the pipe, assuming that
As follows from this equation, with an increase in the thickness of deposits on the inner surface of the pipe, which corresponds to a decrease in
or you can write
Here,
Thus, the transition from a structural flow regime to a turbulent one occurs at certain values of stress
Heavy oils, due to the high content of heavy components (65–70% fraction >350
In this regard, the main factor for improving the rheological properties of oil and the conditions for its processing when solving practical problems is to increase the temperature of the oil stock at the inlet to the plant and its partial dilution by creating a recirculation of a lighter component for mixing with crude oil (Figure 21). This intensification of the processing process allows us to solve both problems simultaneously. The process of primary oil refining is carried out by its preliminary heating to a certain temperature with its intermediate purification from water and salts in the dehydrator 4, contained in the oil, and further separation in the mass-exchange distillation column 5 (Figure 20).
Scheme of primary oil refining with recirculation: 1 - mixer, 2 - pump, 3 - system of heat exchangers, 4- dehydrator, 5 - distillation column, and 6 -refrigerator; I - crude oil, II -recirculation line, and III - fraction >240.
The unit used Kazakhstan heavy paraffinic oil with high viscosity (Figure 22).
Temperature dependence of crude oil viscosity.
The dependence of the kinematic viscosity of crude oil on temperature is represented by the expression
To improve rheological properties and viscosity in order to ensure its transportability, it is proposed to return part of the >240
The dependence of the kinematic viscosity of oil on temperature when it contains fractions >240
As follows from Figure 23 with an increase in temperature and the amount of added fraction, the viscosity of the oil decreases. The expression describing the change in the kinematic viscosity of oil from the temperature at various fraction contents >240
Here,
Data of Figures 23 and 24 show the dependence of the viscosity of oil when it is diluted with a light fraction, calculated by Eq. (80).
The dependence of the viscosity of heavy oil on the proportion of the light fraction at a temperature
As follows from Figure 23, the relative fluidity of heavy oil increases, as a result of its dilution with a light fraction, which improves the rheological properties of the oil.
The temperature of a mixture of crude oil diluted with a light fraction >240
Here
Recirculation of some lighter, higher temperature, lower viscosity refining fraction for blending with crude oil reduces the viscosity of the oil by raising its temperature and partially diluting it with the lighter fraction (Figure 24).
The main problem of the rheology of heavy oils is the study of the regularity of their behavior under the action of external deforming stresses, taking into account their structure. At the same time, the processes associated with irreversible residual deformations and the flow of various viscous and plastic materials, as well as the phenomena of relaxation of heavy oils, allow us to study the fundamental properties of oil disperse systems characterized by shear stress, effective viscosity, corresponding to a certain disordered structure of the system. The effective viscosity of non-Newtonian oils depends on temperature and pressure, as well as on the shear strain rate, the properties of the disordered structure, the content of asphalt-resin substances and the concentration of the dispersed phase, and determines the degree of oil transportability during its extraction and processing.
Concluding this study, we note the main stages and problems of the rheology of heavy oils considered in this paper:
A high content of asphalt-resinous, paraffinic substances and solid phases of various types and nature in heavy oils creates a special physical structure that gives them viscous-plastic properties, the description of which is based on the rheological models of Bingham, Hershel-Bulkley, and Ostwald-de Ville model. Such high-viscosity oil systems are formed as a result of the combination of oil emulsions with the presence of water droplets, oil suspensions with the presence of a solid phase in the composition of crude oil and gas suspensions, including gas bubbles, as well as asphalt-resinous and waxy substances dissolved in oil. The complex physical structure of heavy oil predetermines the possibility of the formation of more complex coagulation structures that adversely affect the rheology.
For the filtration of heavy oils in an anisotropic porous medium, a new nonlinear filtration equation is proposed that takes into account shear stress, elastic limit, and effective viscosity. Analysis and solutions of this equation show a high degree of dependence on the filtration rate and effective viscosity on the pressure gradient. It is noted that the nonlinearity of the rheological model of filtration in porous media is determined by the nature of the hydrodynamic flow and the high content of asphalt-resinous and paraffinic substances in the composition of heavy oil. Solutions of the rheological filtration model make it possible to determine the filtration rate depending on the shear stress or the pressure drop and on the effective viscosity.
Expressions were proposed for determining the flow rate of heavy oils and the rate of free settling of particles, particulate matter and particle drag coefficients in heavy oils.
Proposed effective ways to improve the rheological properties of oil during its processing at existing plants, ways to create a recirculation scheme.
The problems associated with the rheology of heavy oils considered in this paper show the complexity, both in theoretical and practical aspects, of solving these problems, which is determined by the course of many interconnected physical phenomena and the high randomness of these processes. The relationship between determinism and randomness in these phenomena gives rise to some problems that lead to the use of empirical models that do not take into account the true physical mechanisms and phenomena. In particular, there is no way to take into account the nature and properties of the formed disordered structures, and the conditions for their formation and destruction in rheological models. All these phenomena are taken into account in rheological models indirectly in the form of introducing the volume fraction of particles into the model in the form of various functions. As a result of this, the same experimental data can be simultaneously described by many empirical models within a given accuracy. Obviously, taking into account these factors will lead to a more complex structure of the rheological model, and therefore, for practical calculations, it is possible to use various empirical models for specific rheological fluids.
This work was supported by the Science Foundation of «SOCAR» under the grant project 13LR - AMEA (05/01/2022) at the Institute of Catalysis and Inorganic Chemistry named after Acad. M.F.Nagiyev.
a | is particle diameter |
СD | is drag coefficient of particle |
DM | is coefficient of molecular diffusion |
Deff | is coefficient of effective diffusion |
d | is diameter of the pipe |
k0 | is consistency factor’ |
kp | is permeability coefficient |
m | is mass of substance |
N | is total number of particles per unit volume |
n | is an indicator of the degree of non-Newtonian fluids |
P | is total pressure |
R | is radius of the particle |
t | is time |
T | is temperature |
U | is the average flow velocity |
Vp | is total particle deposition rate |
β | is dimensionless thickness of particle deposits |
εR | is specific energy dissipation per unit mass |
ε | is porosity |
ηeff | is effective viscosity of suspensions |
ηc,ηd | are dynamic viscosity of the medium and particles |
νc,νd | are kinematic viscosity of the medium and particles |
ρc,ρd | are density of the medium and particles |
ρi | is concentration of particles |
σD | is coefficient of surface tension |
τ | is shear stress |
τ0 | is yield strength |
φ | is the volume fraction of particles |
ω | is frequency of turbulent coalescence |
He | is the Hedstrom number |
Re | is the Reynolds number |
Wi | is the Weissenberg number |
d | is a solid particle |
c | is medium |
0 | is the initial value |
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His studies in robotics lead him not only to a PhD degree but also inspired him to co-found and build the International Journal of Advanced Robotic Systems - world's first Open Access journal in the field of robotics.",institutionString:null,institution:{name:"TU Wien",country:{name:"Austria"}}},{id:"441",title:"Ph.D.",name:"Jaekyu",middleName:null,surname:"Park",slug:"jaekyu-park",fullName:"Jaekyu Park",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/441/images/1881_n.jpg",biography:null,institutionString:null,institution:{name:"LG Corporation (South Korea)",country:{name:"Korea, South"}}},{id:"465",title:"Dr.",name:"Christian",middleName:null,surname:"Martens",slug:"christian-martens",fullName:"Christian Martens",position:null,profilePictureURL:"//cdnintech.com/web/frontend/www/assets/author.svg",biography:null,institutionString:null,institution:{name:"Rheinmetall (Germany)",country:{name:"Germany"}}},{id:"479",title:"Dr.",name:"Valentina",middleName:null,surname:"Colla",slug:"valentina-colla",fullName:"Valentina Colla",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/479/images/358_n.jpg",biography:null,institutionString:null,institution:{name:"Sant'Anna School of Advanced Studies",country:{name:"Italy"}}},{id:"494",title:"PhD",name:"Loris",middleName:null,surname:"Nanni",slug:"loris-nanni",fullName:"Loris Nanni",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/494/images/system/494.jpg",biography:"Loris Nanni received his Master Degree cum laude on June-2002 from the University of Bologna, and the April 26th 2006 he received his Ph.D. in Computer Engineering at DEIS, University of Bologna. 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His current research interests are in the fields of intelligent control and robotics.",institutionString:null,institution:{name:"Technical University of Sofia",country:{name:"Bulgaria"}}},{id:"585",title:"Prof.",name:"Munir",middleName:null,surname:"Merdan",slug:"munir-merdan",fullName:"Munir Merdan",position:null,profilePictureURL:"https://mts.intechopen.com/storage/users/585/images/system/585.jpg",biography:"Munir Merdan received the M.Sc. degree in mechanical engineering from the Technical University of Sarajevo, Bosnia and Herzegovina, in 2001, and the Ph.D. degree in electrical engineering from the Vienna University of Technology, Vienna, Austria, in 2009.Since 2005, he has been at the Automation and Control Institute, Vienna University of Technology, where he is currently a Senior Researcher. 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Aalborg University has Two Satellite Campuses, one in Copenhagen (Aalborg University Copenhagen) and the other in Esbjerg (Aalborg University Esbjerg).\n· He is a member of prestigious IEEE (Institute of Electrical and Electronics Engineers), and IAENG (International Association of Engineers) organizations. \n· He is the chief Editor of the Journal of Software Engineering.\n· He is the member of the Editorial Board of International Journal of Computer Science and Software Technology (IJCSST) and International Journal of Computer Engineering and Information Technology. \n· He is also the Editor of Communication in Computer and Information Science CCIS-20 by Springer.\n· Reviewer For Many Conferences\nHe is the lead person in making collaboration agreements between Aalborg University and many universities of Pakistan, for which the MOU’s (Memorandum of Understanding) have been signed.\nProfessor Akbar is working in Academia since 1990, he started his career as a Lab demonstrator/TA at the University of Sussex. 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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Clonal complex 398 (CC398), a predominant clonal lineage of livestock-associated-MRSA in domestic animals and retail meat, is capable of infecting humans. In order to monitor and prevent MRSA contamination, it is critical to understand its source and transmission dynamics. 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This group is often detected in patients with inflammatory bowel disease, including ulcerative colitis. That is why new rapid methods for their isolation, purification, and identification are important and necessary. In this chapter, the methods of mesophilic SRB isolation from various environments are described. Particular attention is paid to the purification of mesophilic SRB since they can be in close interaction with other microorganisms (Clostridium, Bacteroides, Pseudomonas, etc.), which are their frequent satellites. Moreover, the main methods of mesophilic SRB identification based on their morphological, physiological, biochemical, and genetical characteristics are presented.",book:{id:"8997",slug:"microorganisms",title:"Microorganisms",fullTitle:"Microorganisms"},signatures:"Ivan Kushkevych",authors:[{id:"252191",title:"Associate Prof.",name:"Ivan",middleName:null,surname:"Kushkevych",slug:"ivan-kushkevych",fullName:"Ivan Kushkevych"}]},{id:"65773",title:"Life Cycle of Trypanosoma cruzi in the Invertebrate and the Vertebrate Hosts",slug:"life-cycle-of-em-trypanosoma-cruzi-em-in-the-invertebrate-and-the-vertebrate-hosts",totalDownloads:1497,totalCrossrefCites:4,totalDimensionsCites:7,abstract:"Trypanosoma cruzi (T. cruzi) is a protozoan parasite that causes Chagas disease, a zoonotic disease that can be transmitted to humans by blood-sucking triatomine bugs. T. cruzi is a single-celled eukaryote with a complex life cycle alternating between reduviid bug invertebrate vectors and vertebrate hosts. This article will look at the developmental stages of T. cruzi in the invertebrate vector and the vertebrate hosts, the different surface membrane proteins involved in different life cycle stages of T. cruzi, roles of different amino acids in the life cycle, carbon and energy sources and gene expression in the life cycle of T. cruzi. The author will also look at extracellular vesicles (EV) and its role in the dissemination and survival of T. cruzi in mammalian host.",book:{id:"8806",slug:"biology-of-em-trypanosoma-cruzi-em-",title:"Biology of Trypanosoma cruzi",fullTitle:"Biology of Trypanosoma cruzi"},signatures:"Kenechukwu C. Onyekwelu",authors:[{id:"245368",title:"Dr.",name:"Kenechukwu C.",middleName:null,surname:"Onyekwelu",slug:"kenechukwu-c.-onyekwelu",fullName:"Kenechukwu C. 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However, being notorious for developing antibiotic resistance, there is a continuous need for exploring novel anti-MRSA agents from various sources including plants and evaluation of non-antibiotic approaches.",book:{id:"5471",slug:"frontiers-in-i-staphylococcus-aureus-i-",title:"Frontiers in Staphylococcus aureus",fullTitle:"Frontiers in Staphylococcus aureus"},signatures:"Arumugam Gnanamani, Periasamy Hariharan and Maneesh Paul-\nSatyaseela",authors:[{id:"192829",title:"Dr.",name:"Arumugam",middleName:null,surname:"Gnanamani",slug:"arumugam-gnanamani",fullName:"Arumugam Gnanamani"},{id:"204388",title:"Dr.",name:"Periasamy",middleName:null,surname:"Hariharan",slug:"periasamy-hariharan",fullName:"Periasamy Hariharan"},{id:"204389",title:"Dr.",name:"Maneesh",middleName:null,surname:"Paul-Satyaseela",slug:"maneesh-paul-satyaseela",fullName:"Maneesh Paul-Satyaseela"}]},{id:"55437",title:"Biological Control of Parasites",slug:"biological-control-of-parasites-2017-07",totalDownloads:4334,totalCrossrefCites:7,totalDimensionsCites:7,abstract:"Parasites (ectoparasites or endoparasites) are a major cause of diseases in man, his livestock and crops, leading to poor yield and great economic loss. To overcome some of the major limitations of chemical control methods such as rising resistance, environmental and health risks, and the adverse effect on non‐target organisms, biological control (biocontrol) is now at the forefront of parasite (pests) control. Biocontrol is now a core component of the integrated pest management. Biocontrol is defined as “the study and uses of parasites, predators and pathogens for the regulation of host (pest) densities”. Considerable successes have been achieved in the implementation of biocontrol strategies in the past. This chapter presents a review of the history of biocontrol, its advantages and disadvantages; the different types of biological control agents (BCAs) including predators, parasites (parasitoids) and pathogens (fungi, bacteria, viruses and virus‐like particles, protozoa and nematodes); the effect of biocontrol on native biodiversity; a few case studies of the successful implementation of biocontrol methods and the challenges encountered with the implementation of biocontrol and future perspectives.",book:{id:"5527",slug:"natural-remedies-in-the-fight-against-parasites",title:"Natural Remedies in the Fight Against Parasites",fullTitle:"Natural Remedies in the Fight Against Parasites"},signatures:"Tebit Emmanuel Kwenti",authors:[{id:"191763",title:"Dr.",name:"Tebit Emmanuel",middleName:null,surname:"Kwenti",slug:"tebit-emmanuel-kwenti",fullName:"Tebit Emmanuel Kwenti"}]},{id:"70336",title:"Plastics Polymers Degradation by Fungi",slug:"plastics-polymers-degradation-by-fungi",totalDownloads:1459,totalCrossrefCites:3,totalDimensionsCites:8,abstract:"The studies on plastic degradation are very important for the development of biodegradable plastics, and for reduction of pollution, since plastic waste can remain in the environment for decades or centuries. We have showed the degradation of oxo-biodegradable plastic bags and green polyethylene by Pleurotus ostreatus. This fungus can also produce mushrooms using these plastics. The plastic degradation was possibly by three reasons: (a) presence of pro-oxidant ions or plant polymer, (b) low specificity of the lignocellulolytic enzymes, and (c) the presence of endomycotic nitrogen-fixing microorganisms. In this chapter, the plastic bags’ degradation by abiotic and microbial process using the exposure to sunlight and the use of a white-rot fungus will described. The physical, chemical, and biological alterations of plastic were analyzed after each process of degradation. The degradation of plastic bags was more effective when the abiotic and biotic degradations were combined.",book:{id:"8997",slug:"microorganisms",title:"Microorganisms",fullTitle:"Microorganisms"},signatures:"José Maria Rodrigues da Luz, Marliane de Cássia Soares da Silva, Leonardo Ferreira dos Santos and Maria Catarina Megumi Kasuya",authors:[{id:"217699",title:"Dr.",name:"Jose Maria",middleName:null,surname:"Da Luz",slug:"jose-maria-da-luz",fullName:"Jose Maria Da Luz"}]}],onlineFirstChaptersFilter:{topicId:"151",limit:6,offset:0},onlineFirstChaptersCollection:[],onlineFirstChaptersTotal:0},preDownload:{success:null,errors:{}},subscriptionForm:{success:null,errors:{}},aboutIntechopen:{},privacyPolicy:{},peerReviewing:{},howOpenAccessPublishingWithIntechopenWorks:{},sponsorshipBooks:{sponsorshipBooks:[],offset:8,limit:8,total:0},allSeries:{pteSeriesList:[{id:"14",title:"Artificial Intelligence",numberOfPublishedBooks:9,numberOfPublishedChapters:90,numberOfOpenTopics:6,numberOfUpcomingTopics:0,issn:"2633-1403",doi:"10.5772/intechopen.79920",isOpenForSubmission:!0},{id:"7",title:"Biomedical Engineering",numberOfPublishedBooks:12,numberOfPublishedChapters:108,numberOfOpenTopics:3,numberOfUpcomingTopics:0,issn:"2631-5343",doi:"10.5772/intechopen.71985",isOpenForSubmission:!0}],lsSeriesList:[{id:"11",title:"Biochemistry",numberOfPublishedBooks:33,numberOfPublishedChapters:330,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2632-0983",doi:"10.5772/intechopen.72877",isOpenForSubmission:!0},{id:"25",title:"Environmental Sciences",numberOfPublishedBooks:1,numberOfPublishedChapters:19,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2754-6713",doi:"10.5772/intechopen.100362",isOpenForSubmission:!0},{id:"10",title:"Physiology",numberOfPublishedBooks:14,numberOfPublishedChapters:145,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2631-8261",doi:"10.5772/intechopen.72796",isOpenForSubmission:!0}],hsSeriesList:[{id:"3",title:"Dentistry",numberOfPublishedBooks:9,numberOfPublishedChapters:141,numberOfOpenTopics:2,numberOfUpcomingTopics:0,issn:"2631-6218",doi:"10.5772/intechopen.71199",isOpenForSubmission:!0},{id:"6",title:"Infectious Diseases",numberOfPublishedBooks:13,numberOfPublishedChapters:123,numberOfOpenTopics:4,numberOfUpcomingTopics:0,issn:"2631-6188",doi:"10.5772/intechopen.71852",isOpenForSubmission:!0},{id:"13",title:"Veterinary Medicine and Science",numberOfPublishedBooks:11,numberOfPublishedChapters:112,numberOfOpenTopics:3,numberOfUpcomingTopics:0,issn:"2632-0517",doi:"10.5772/intechopen.73681",isOpenForSubmission:!0}],sshSeriesList:[{id:"22",title:"Business, Management and Economics",numberOfPublishedBooks:1,numberOfPublishedChapters:22,numberOfOpenTopics:3,numberOfUpcomingTopics:0,issn:"2753-894X",doi:"10.5772/intechopen.100359",isOpenForSubmission:!0},{id:"23",title:"Education and Human Development",numberOfPublishedBooks:0,numberOfPublishedChapters:11,numberOfOpenTopics:1,numberOfUpcomingTopics:1,issn:null,doi:"10.5772/intechopen.100360",isOpenForSubmission:!0},{id:"24",title:"Sustainable Development",numberOfPublishedBooks:1,numberOfPublishedChapters:19,numberOfOpenTopics:5,numberOfUpcomingTopics:0,issn:"2753-6580",doi:"10.5772/intechopen.100361",isOpenForSubmission:!0}],testimonialsList:[{id:"6",text:"It is great to work with the IntechOpen to produce a worthwhile collection of research that also becomes a great educational resource and guide for future research endeavors.",author:{id:"259298",name:"Edward",surname:"Narayan",institutionString:null,profilePictureURL:"https://mts.intechopen.com/storage/users/259298/images/system/259298.jpeg",slug:"edward-narayan",institution:{id:"3",name:"University of Queensland",country:{id:null,name:"Australia"}}}},{id:"13",text:"The collaboration with and support of the technical staff of IntechOpen is fantastic. 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Her research interests include multi-criteria decision analysis, industrial plants, logistics, manufacturing, and safety. She serves as an associate editor for the International Journal of the Analytic Hierarchy Process and is an editorial board member for several other journals. 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He collaborates with the Environmental Resources Analysis Research Group (ARAM), University of Extremadura (UEx), Spain; VALORIZA - Research Center for the Enhancement of Endogenous Resources, Polytechnic Institute of Portalegre (IPP), Portugal; Centre for Tourism Research, Development and Innovation (CITUR), Madeira, Portugal; and AQUAGEO Research Group, University of Campinas (UNICAMP), Brazil.",institutionString:"University of Johannesburg, South Africa and WSB University, Poland",institution:{name:"University of Johannesburg",institutionURL:null,country:{name:"South Africa"}}},editorThree:null}]},overviewPageOFChapters:{paginationCount:9,paginationItems:[{id:"82936",title:"Soil Degradation Processes Linked to Long-Term Forest-Type Damage",doi:"10.5772/intechopen.106390",signatures:"Pavel Samec, Aleš Kučera and Gabriela Tomášová",slug:"soil-degradation-processes-linked-to-long-term-forest-type-damage",totalDownloads:2,totalCrossrefCites:0,totalDimensionsCites:0,authors:null,book:{title:"Forest Degradation Under Global Change",coverURL:"https://cdn.intechopen.com/books/images_new/11457.jpg",subseries:{id:"94",title:"Climate Change and Environmental Sustainability"}}},{id:"82777",title:"Sustainability and Social Investment: Community Microhydropower Systems in the Dominican Republic",doi:"10.5772/intechopen.105995",signatures:"Michela Izzo, Alberto Sánchez and Rafael Fonseca",slug:"sustainability-and-social-investment-community-microhydropower-systems-in-the-dominican-republic",totalDownloads:4,totalCrossrefCites:0,totalDimensionsCites:0,authors:null,book:{title:"Globalization and Sustainability - Recent Advances, New Perspectives and Emerging Issues",coverURL:"https://cdn.intechopen.com/books/images_new/11476.jpg",subseries:{id:"91",title:"Sustainable Economy and Fair Society"}}},{id:"82387",title:"Kept Promises? 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