Cover image for Particles, bubbles & drops : their motion, heat and mass transfer
Title:
Particles, bubbles & drops : their motion, heat and mass transfer
Personal Author:
Publication Information:
Hackensack, NJ : World Scientific, 2006
ISBN:
9789812566478

Available:*

Library
Item Barcode
Call Number
Material Type
Item Category 1
Status
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...

On Order

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

Prefacep. vii
1 Introductionp. 1
1.1 Historical backgroundp. 1
1.1.1 Forces exerted by a fluid and the equation of motionp. 2
1.1.2 Heat transferp. 7
1.2 Terminology and nomenclaturep. 9
1.2.1 Common terms and definitionsp. 10
1.2.2 Nomenclaturep. 11
1.2.2.1 Latin symbolsp. 11
1.2.2.2 Greek symbolsp. 12
1.2.2.3 Subscriptsp. 13
1.2.2.4 Superscriptsp. 13
1.2.3 Common abbreviationsp. 14
1.2.4 Dimensionless numbers (L[subscript ch]=2[alpha])p. 14
1.3 Examples of applications in science and technologyp. 15
1.3.1 Oil and gas pipelinesp. 16
1.3.2 Geothermal wellsp. 17
1.3.3 Steam generation in boilers and burnersp. 18
1.3.4 Sediment flowp. 18
1.3.5 Steam condensationp. 19
1.3.6 Petroleum refiningp. 20
1.3.7 Spray dryingp. 20
1.3.8 Pneumatic conveyingp. 21
1.3.9 Fluidized bedsp. 22
2 Fundamental equations and characteristics of particles, bubbles and dropsp. 23
2.1 Fundamental equations of a continuump. 23
2.1.1 The concept of a material continuum - basic assumptionsp. 24
2.1.2 Fundamental equations in integral formp. 27
2.1.3 Fundamental equations in differential formp. 33
2.1.4 Generalized form of the fundamental equationsp. 36
2.1.5 Conservation equations at the interfaces - jump conditionsp. 37
2.2 Conservation equations for a single particle, bubble or dropp. 41
2.3 Characteristics of particles, bubbles and dropsp. 43
2.3.1 Shapes of solid particlesp. 44
2.3.1.1 Symmetric particlesp. 44
2.3.1.2 Asymmetric or irregular particlesp. 45
2.3.2 Shapes of bubbles and drops in motion - shape mapsp. 48
2.4 Discrete and continuous size distributionsp. 53
2.4.1 Useful parameters in discrete size distributionsp. 54
2.4.2 Continuous size distributionsp. 57
2.4.3 Drop distribution functionsp. 59
3 Low Reynolds number flowsp. 63
3.1 Conservation equationsp. 63
3.1.1 Heat-mass transfer analogyp. 65
3.1.2 Mass, momentum and heat transfer - Transport coefficientsp. 66
3.2 Steady motion and heat/mass transfer at creeping flowp. 69
3.3 Transient, creeping flow motionp. 74
3.3.1 Notes on the history termp. 76
3.3.2 Hydrodynamic force on a viscous spherep. 80
3.3.3 Equation of motion with interfacial slipp. 81
3.3.4 Transient motion of an expanding or collapsing bubblep. 84
3.4 Transient heat/mass transfer at creeping flowp. 85
3.5 Hydrodynamic force and heat transfer for a spheroid at creeping flowp. 89
3.6 Steady motion and heat/mass transfer at small Re and Pep. 93
3.7 Transient hydrodynamic force at small Rep. 96
3.8 Transient heat/mass transfer at small Pep. 102
4 High Reynolds number flowsp. 107
4.1 Flow fields around rigid and fluid spheresp. 107
4.1.1 Flow around rigid spheresp. 107
4.1.2 Flow inside and around viscous spheresp. 114
4.2 Steady hydrodynamic force and heat transferp. 118
4.2.1 Drag on rigid spheresp. 118
4.2.2 Heat transfer from rigid spheresp. 121
4.2.3 Radiation effectsp. 122
4.2.4 Drag on viscous spheresp. 124
4.2.5 Heat transfer from viscous spheresp. 128
4.2.6 Drag on viscous spheres with mass transfer - Blowing effectsp. 133
4.2.7 Heat transfer from viscous spheres with mass transfer - Blowing effectsp. 136
4.2.8 Effects of compressibility and rarefactionp. 141
4.3 Transient hydrodynamic forcep. 144
4.4 Transient heat transferp. 151
4.4.1 Transient temperature measurementsp. 155
5 Non-spherical particles, bubbles and dropsp. 157
5.1 Transport coefficients of rigid particles at low Rep. 157
5.1.1 Hydrodynamic force and drag coefficientsp. 158
5.1.2 Heat and mass transfer coefficientsp. 161
5.2 Hydrodynamic force for rigid particles at high Rep. 165
5.2.1 Drag coefficients for disks and spheroidsp. 165
5.2.2 Drag coefficients and flow patterns around cylindersp. 168
5.2.3 Drag coefficients of irregular particlesp. 172
5.3 Heat transfer for rigid particles at high Rep. 175
5.3.1 Heat transfer coefficients for disks and spheroidsp. 175
5.3.2 Heat transfer coefficients for cylindersp. 177
5.3.3 Heat transfer coefficients for irregular particlesp. 179
5.4 Non-spherical bubbles and dropsp. 181
5.4.1 Drag coefficientsp. 181
5.4.2 Heat transfer coefficientsp. 190
6 Effects of rotation, shear and boundariesp. 191
6.1 Effects of relative rotationp. 192
6.2 Effects of flow shearp. 195
6.3 Effects of boundariesp. 202
6.3.1 Main flow perpendicular to the boundaryp. 203
6.3.2 Main flow parallel to the boundaryp. 205
6.3.3 Equilibrium positions of spheres above horizontal boundariesp. 211
6.4 Constrained motion in an enclosurep. 213
6.4.1 Rigid spheresp. 213
6.4.2 Viscous spheresp. 217
6.4.3 Immersed objects at off-center positionsp. 218
6.4.4 Taylor bubblesp. 219
6.4.5 Effects of enclosures on the heat and mass transferp. 221
6.5 Effects of boundaries on bubble and drop deformationp. 222
6.6 A note on the lift force in transient flowsp. 225
7 Effects of turbulencep. 227
7.1 Effects of free stream turbulencep. 227
7.2 Turbulence modulationp. 232
7.3 Drag reductionp. 238
7.4 Turbulence models for immersed objectsp. 242
7.4.1 The trajectory modelp. 242
7.4.2 The Monte-Carlo methodp. 243
7.4.3 The two-fluid modelp. 251
7.5 Heat transfer in pipelines with particulatesp. 254
7.6 Turbophoresis and wall depositionp. 256
7.7 Turbulence and coalescence of viscous spheresp. 260
8 Electro-kinetic, thermo-kinetic and porosity effectsp. 261
8.1 Electrophoresisp. 261
8.1.1 Electrophoretic motionp. 262
8.1.2 Electro-osmosisp. 264
8.1.3 Effects of the double layer on the electrophoretic motionp. 265
8.1.4 Electrophoresis in capillaries-microelectrophoresisp. 268
8.2 Brownian motionp. 270
8.3 Thermophoresisp. 272
8.3.1 Particle interactions and wall effects in thermophoresisp. 278
8.3.2 Thermophoresis in turbulent flowsp. 280
8.4 Porous particlesp. 282
8.4.1 Surface boundary conditionsp. 283
8.4.2 Drag force on a porous sphere at low Rep. 284
8.4.3 Heat transfer from porous particlesp. 285
8.4.4 Mass transfer from an object inside a porous mediump. 286
9 Effects of higher concentration and collisionsp. 289
9.1 Interactions between dispersed objectsp. 289
9.1.1 Hydrodynamic interactionsp. 290
9.1.2 Thermal interactions and phase changep. 296
9.2 Effects of concentrationp. 297
9.2.1 Effects on the hydrodynamic forcep. 298
9.2.2 Effects on the heat transferp. 306
9.2.3 Bubble columnsp. 307
9.3 Collisions of spheresp. 307
9.3.1 Hard sphere modelp. 308
9.3.2 Soft-sphere modelp. 311
9.3.3 Drop collisions and coalescencep. 312
9.4 Collisions with a wall - Mechanical effectsp. 316
9.5 Heat transfer during wall collisionsp. 318
9.5.1 Spray depositionp. 319
9.5.2 Cooling enhancement by drop impingementp. 322
9.5.3 Critical heat flux with dropsp. 323
10 Molecular and statistical modelingp. 325
10.1 Molecular dynamicsp. 325
10.1.1 MD applications with particles, bubbles and dropsp. 331
10.2 Stokesian dynamicsp. 333
10.3 Statistical methodsp. 337
10.3.1 The probability distribution function (PDF)p. 338
11 Numerical methods-CFDp. 343
11.1 Forms of Navier-Stokes equations used in CFDp. 345
11.1.1 Primitive variablesp. 345
11.1.2 Streamfunction-vorticityp. 346
11.1.3 False transientsp. 347
11.2 Finite difference methodp. 348
11.3 Spectral and finite-element methodsp. 350
11.3.1 The spectral methodp. 350
11.3.2 The finite element and finite volume methodsp. 351
11.4 The Lattice-Boltzmann methodp. 354
11.5 The force coupling methodp. 359
11.6 Turbulent flow modelsp. 360
11.6.1 Direct numerical simulations (DNS)p. 360
11.6.2 Reynolds decomposition and averaged equationsp. 364
11.6.3 The k-[epsilon] modelp. 365
11.6.4 Large Eddy simulations (LES)p. 367
11.7 Potential flow-boundary integral methodp. 370
Referencesp. 373
Subject Indexp. 407