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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010123579 | TA357.5.M84 M52 2006 | Open Access Book | Book | Searching... |
Searching... | 30000010215436 | TA357.5.M84 M52 2006 | Open Access Book | Book | Searching... |
Searching... | 30000010215437 | TA357.5.M84 M52 2006 | Open Access Book | Book | Searching... |
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Summary
Summary
The field of multiphase flows has grown by leaps and bounds in the last thirty years and is now regarded as a major discipline. Engineering applications, products and processes with particles, bubbles and drops have consistently grown in number and importance. An increasing number of conferences, scientific fora and archived journals are dedicated to the dissemination of information on flow, heat and mass transfer of fluids with particles, bubbles and drops. Numerical computations and "thought experiments" have supplemented most physical experiments and a great deal of the product design and testing processes. The literature on computational fluid dynamics with particles, bubbles and drops has grown at an exponential rate, giving rise to new results, theories and better understanding of the transport processes with particles, bubbles and drops. This book captures and summarizes all these advances in a unified, succinct and pedagogical way. Contents: Fundamental Equations and Characteristics of Particles, Bubbles and Drops; Low Reynolds Number Flows; High Reynolds Number Flows; Non-Spherical Particles, Bubbles and Drops; Effects of Rotation, Shear and Boundaries; Effects of Turbulence; Electro-Kinetic, Thermo-Kinetic and Porosity Effects; Effects of Higher Concentration and Collisions; Molecular and Statistical Modeling; Numerical Methods-CFD. Key Features Summarizes the recent important results in the theory of transport processes of fluids with particles, bubbles and drops Presents the results in a unified and succinct way Contains more than 600 references where an interested reader may find details of the results Makes connections from all theories and results to physical and engineering applications Readership: Researchers, practicing engineers and physicists that deal with any aspects of Multiphase Flows. It will also be of interest to academics and researchers in the general fields of mechanical and chemical engineering.
Table of Contents
Preface | p. vii |
1 Introduction | p. 1 |
1.1 Historical background | p. 1 |
1.1.1 Forces exerted by a fluid and the equation of motion | p. 2 |
1.1.2 Heat transfer | p. 7 |
1.2 Terminology and nomenclature | p. 9 |
1.2.1 Common terms and definitions | p. 10 |
1.2.2 Nomenclature | p. 11 |
1.2.2.1 Latin symbols | p. 11 |
1.2.2.2 Greek symbols | p. 12 |
1.2.2.3 Subscripts | p. 13 |
1.2.2.4 Superscripts | p. 13 |
1.2.3 Common abbreviations | p. 14 |
1.2.4 Dimensionless numbers (L[subscript ch]=2[alpha]) | p. 14 |
1.3 Examples of applications in science and technology | p. 15 |
1.3.1 Oil and gas pipelines | p. 16 |
1.3.2 Geothermal wells | p. 17 |
1.3.3 Steam generation in boilers and burners | p. 18 |
1.3.4 Sediment flow | p. 18 |
1.3.5 Steam condensation | p. 19 |
1.3.6 Petroleum refining | p. 20 |
1.3.7 Spray drying | p. 20 |
1.3.8 Pneumatic conveying | p. 21 |
1.3.9 Fluidized beds | p. 22 |
2 Fundamental equations and characteristics of particles, bubbles and drops | p. 23 |
2.1 Fundamental equations of a continuum | p. 23 |
2.1.1 The concept of a material continuum - basic assumptions | p. 24 |
2.1.2 Fundamental equations in integral form | p. 27 |
2.1.3 Fundamental equations in differential form | p. 33 |
2.1.4 Generalized form of the fundamental equations | p. 36 |
2.1.5 Conservation equations at the interfaces - jump conditions | p. 37 |
2.2 Conservation equations for a single particle, bubble or drop | p. 41 |
2.3 Characteristics of particles, bubbles and drops | p. 43 |
2.3.1 Shapes of solid particles | p. 44 |
2.3.1.1 Symmetric particles | p. 44 |
2.3.1.2 Asymmetric or irregular particles | p. 45 |
2.3.2 Shapes of bubbles and drops in motion - shape maps | p. 48 |
2.4 Discrete and continuous size distributions | p. 53 |
2.4.1 Useful parameters in discrete size distributions | p. 54 |
2.4.2 Continuous size distributions | p. 57 |
2.4.3 Drop distribution functions | p. 59 |
3 Low Reynolds number flows | p. 63 |
3.1 Conservation equations | p. 63 |
3.1.1 Heat-mass transfer analogy | p. 65 |
3.1.2 Mass, momentum and heat transfer - Transport coefficients | p. 66 |
3.2 Steady motion and heat/mass transfer at creeping flow | p. 69 |
3.3 Transient, creeping flow motion | p. 74 |
3.3.1 Notes on the history term | p. 76 |
3.3.2 Hydrodynamic force on a viscous sphere | p. 80 |
3.3.3 Equation of motion with interfacial slip | p. 81 |
3.3.4 Transient motion of an expanding or collapsing bubble | p. 84 |
3.4 Transient heat/mass transfer at creeping flow | p. 85 |
3.5 Hydrodynamic force and heat transfer for a spheroid at creeping flow | p. 89 |
3.6 Steady motion and heat/mass transfer at small Re and Pe | p. 93 |
3.7 Transient hydrodynamic force at small Re | p. 96 |
3.8 Transient heat/mass transfer at small Pe | p. 102 |
4 High Reynolds number flows | p. 107 |
4.1 Flow fields around rigid and fluid spheres | p. 107 |
4.1.1 Flow around rigid spheres | p. 107 |
4.1.2 Flow inside and around viscous spheres | p. 114 |
4.2 Steady hydrodynamic force and heat transfer | p. 118 |
4.2.1 Drag on rigid spheres | p. 118 |
4.2.2 Heat transfer from rigid spheres | p. 121 |
4.2.3 Radiation effects | p. 122 |
4.2.4 Drag on viscous spheres | p. 124 |
4.2.5 Heat transfer from viscous spheres | p. 128 |
4.2.6 Drag on viscous spheres with mass transfer - Blowing effects | p. 133 |
4.2.7 Heat transfer from viscous spheres with mass transfer - Blowing effects | p. 136 |
4.2.8 Effects of compressibility and rarefaction | p. 141 |
4.3 Transient hydrodynamic force | p. 144 |
4.4 Transient heat transfer | p. 151 |
4.4.1 Transient temperature measurements | p. 155 |
5 Non-spherical particles, bubbles and drops | p. 157 |
5.1 Transport coefficients of rigid particles at low Re | p. 157 |
5.1.1 Hydrodynamic force and drag coefficients | p. 158 |
5.1.2 Heat and mass transfer coefficients | p. 161 |
5.2 Hydrodynamic force for rigid particles at high Re | p. 165 |
5.2.1 Drag coefficients for disks and spheroids | p. 165 |
5.2.2 Drag coefficients and flow patterns around cylinders | p. 168 |
5.2.3 Drag coefficients of irregular particles | p. 172 |
5.3 Heat transfer for rigid particles at high Re | p. 175 |
5.3.1 Heat transfer coefficients for disks and spheroids | p. 175 |
5.3.2 Heat transfer coefficients for cylinders | p. 177 |
5.3.3 Heat transfer coefficients for irregular particles | p. 179 |
5.4 Non-spherical bubbles and drops | p. 181 |
5.4.1 Drag coefficients | p. 181 |
5.4.2 Heat transfer coefficients | p. 190 |
6 Effects of rotation, shear and boundaries | p. 191 |
6.1 Effects of relative rotation | p. 192 |
6.2 Effects of flow shear | p. 195 |
6.3 Effects of boundaries | p. 202 |
6.3.1 Main flow perpendicular to the boundary | p. 203 |
6.3.2 Main flow parallel to the boundary | p. 205 |
6.3.3 Equilibrium positions of spheres above horizontal boundaries | p. 211 |
6.4 Constrained motion in an enclosure | p. 213 |
6.4.1 Rigid spheres | p. 213 |
6.4.2 Viscous spheres | p. 217 |
6.4.3 Immersed objects at off-center positions | p. 218 |
6.4.4 Taylor bubbles | p. 219 |
6.4.5 Effects of enclosures on the heat and mass transfer | p. 221 |
6.5 Effects of boundaries on bubble and drop deformation | p. 222 |
6.6 A note on the lift force in transient flows | p. 225 |
7 Effects of turbulence | p. 227 |
7.1 Effects of free stream turbulence | p. 227 |
7.2 Turbulence modulation | p. 232 |
7.3 Drag reduction | p. 238 |
7.4 Turbulence models for immersed objects | p. 242 |
7.4.1 The trajectory model | p. 242 |
7.4.2 The Monte-Carlo method | p. 243 |
7.4.3 The two-fluid model | p. 251 |
7.5 Heat transfer in pipelines with particulates | p. 254 |
7.6 Turbophoresis and wall deposition | p. 256 |
7.7 Turbulence and coalescence of viscous spheres | p. 260 |
8 Electro-kinetic, thermo-kinetic and porosity effects | p. 261 |
8.1 Electrophoresis | p. 261 |
8.1.1 Electrophoretic motion | p. 262 |
8.1.2 Electro-osmosis | p. 264 |
8.1.3 Effects of the double layer on the electrophoretic motion | p. 265 |
8.1.4 Electrophoresis in capillaries-microelectrophoresis | p. 268 |
8.2 Brownian motion | p. 270 |
8.3 Thermophoresis | p. 272 |
8.3.1 Particle interactions and wall effects in thermophoresis | p. 278 |
8.3.2 Thermophoresis in turbulent flows | p. 280 |
8.4 Porous particles | p. 282 |
8.4.1 Surface boundary conditions | p. 283 |
8.4.2 Drag force on a porous sphere at low Re | p. 284 |
8.4.3 Heat transfer from porous particles | p. 285 |
8.4.4 Mass transfer from an object inside a porous medium | p. 286 |
9 Effects of higher concentration and collisions | p. 289 |
9.1 Interactions between dispersed objects | p. 289 |
9.1.1 Hydrodynamic interactions | p. 290 |
9.1.2 Thermal interactions and phase change | p. 296 |
9.2 Effects of concentration | p. 297 |
9.2.1 Effects on the hydrodynamic force | p. 298 |
9.2.2 Effects on the heat transfer | p. 306 |
9.2.3 Bubble columns | p. 307 |
9.3 Collisions of spheres | p. 307 |
9.3.1 Hard sphere model | p. 308 |
9.3.2 Soft-sphere model | p. 311 |
9.3.3 Drop collisions and coalescence | p. 312 |
9.4 Collisions with a wall - Mechanical effects | p. 316 |
9.5 Heat transfer during wall collisions | p. 318 |
9.5.1 Spray deposition | p. 319 |
9.5.2 Cooling enhancement by drop impingement | p. 322 |
9.5.3 Critical heat flux with drops | p. 323 |
10 Molecular and statistical modeling | p. 325 |
10.1 Molecular dynamics | p. 325 |
10.1.1 MD applications with particles, bubbles and drops | p. 331 |
10.2 Stokesian dynamics | p. 333 |
10.3 Statistical methods | p. 337 |
10.3.1 The probability distribution function (PDF) | p. 338 |
11 Numerical methods-CFD | p. 343 |
11.1 Forms of Navier-Stokes equations used in CFD | p. 345 |
11.1.1 Primitive variables | p. 345 |
11.1.2 Streamfunction-vorticity | p. 346 |
11.1.3 False transients | p. 347 |
11.2 Finite difference method | p. 348 |
11.3 Spectral and finite-element methods | p. 350 |
11.3.1 The spectral method | p. 350 |
11.3.2 The finite element and finite volume methods | p. 351 |
11.4 The Lattice-Boltzmann method | p. 354 |
11.5 The force coupling method | p. 359 |
11.6 Turbulent flow models | p. 360 |
11.6.1 Direct numerical simulations (DNS) | p. 360 |
11.6.2 Reynolds decomposition and averaged equations | p. 364 |
11.6.3 The k-[epsilon] model | p. 365 |
11.6.4 Large Eddy simulations (LES) | p. 367 |
11.7 Potential flow-boundary integral method | p. 370 |
References | p. 373 |
Subject Index | p. 407 |