Transport Phenomena in Porous Media

Front Cover......Page 1
TRANSPORT PHENOMENA IN POROUS MEDIA......Page 4
Copyright Page......Page 5
Preface......Page 6
Contributors......Page 14
Contents......Page 18
1.1 Introduction......Page 28
1.2 Instantaneous local transport equations......Page 29
1.3 Time- and volume-averaging procedures......Page 31
1.4 Time-averaged transport equations......Page 32
1.5 The double-decomposition concept......Page 33
1.6 Turbulent transport......Page 36
1.7 Heat transfer......Page 47
1.8 Mass transfer......Page 55
References......Page 58
2.1 Introduction......Page 61
2.2 Determination of transport properties......Page 62
2.5 Two-velocity model......Page 64
2.7 Forced convection in a channel between plane parallel walls......Page 67
2.8 Conclusions......Page 85
References......Page 86
CHAPTER 3. FROM CONTINUUM TO POROUS–CONTINUUM: THE VISUAL RESOLUTION IMPACT ON MODELING NATURAL CONVECTION IN HETEROGENEOUS MEDIA......Page 87
3.1 Introduction......Page 88
3.2 Horizontal heating......Page 90
3.3 Heat-generating blocks......Page 107
3.4 Conclusions......Page 119
References......Page 121
CHAPTER 4. INTEGRAL TRANSFORMS FOR NATURAL CONVECTION IN CAVITIES FILLED WITH POROUS MEDIA......Page 124
4.1 Introduction......Page 125
4.2 Two-dimensional problem......Page 126
4.3 Three-dimensional problem......Page 130
4.4 Results and discussion......Page 135
References......Page 144
5.1 Introduction......Page 147
5.2 Thermal analysis of microchannel heat sinks......Page 149
5.3 Thermal analysis of internally finned tubes......Page 163
5.4 Conclusions......Page 171
References......Page 172
6.1 Introduction......Page 174
6.2 Governing equations......Page 175
6.3 Conditions for the validity of LTE......Page 179
6.4 Free convection boundary layers......Page 181
6.5 Forced convection past a hot circular cylinder......Page 188
6.6 Stability of free convection......Page 193
References......Page 197
7.1 Introduction......Page 201
7.2 Three-dimensional numerical model for isotropic porous media......Page 203
7.3 Quasi-three-dimensional numerical model for anisotropic porous media......Page 209
7.4 Large eddy simulation of turbulent flow in porous media......Page 217
7.5 Conclusions......Page 225
References......Page 226
8.1 Introduction......Page 228
8.2 A short history of the second law of thermodynamics......Page 229
8.3 Governing equations......Page 231
8.4 Entropy generation in a porous cavity and channel......Page 234
9.3 Fundamental equations of thermodiffusion......Page 250
References......Page 251
9.1 Introduction......Page 254
9.2 Literature review......Page 255
9.4 Fundamental equations in porous media......Page 263
9.5 Numerical solution technique......Page 264
9.6 Mesh sensitivity analysis......Page 266
9.7 Results and discussion......Page 268
9.8 Conclusions......Page 284
References......Page 285
CHAPTER 10. EFFECT OF VIBRATION ON THE ONSET OF DOUBLE-DIFFUSIVE CONVECTION IN POROUS MEDIA......Page 288
10.1 Introduction......Page 289
10.2 Mathematical formulation......Page 290
10.3 Linear stability analysis......Page 295
10.4 Comparison of the results with fluid media......Page 302
10.5 Numerical method......Page 303
10.6 The onset of thermo-solutal convection under the influence of vibration without Soret effect......Page 307
10.7 Conclusions......Page 310
References......Page 311
11.1 Introduction......Page 314
11.2 Previous works......Page 316
11.3 Characteristics of combustion in porous media......Page 317
11.4 Applications......Page 318
11.5 Porous burners......Page 320
11.6 Mathematical modeling......Page 321
11.7 Results and discussion......Page 324
11.8 Radial burner......Page 325
11.10 Possible future work......Page 328
References......Page 329
CHAPTER 12. REACTIVE TRANSPORT IN POROUS MEDIA—CONCEPTS AND NUMERICAL APPROACHES......Page 332
12.1 Introduction......Page 333
12.2 Quantitative geochemistry......Page 334
12.3 Analytical description of reactive transport......Page 337
12.4 Examples......Page 340
12.5 Numerical approaches......Page 345
12.6 Numerical errors......Page 349
12.7 Implementation in MATLAB......Page 351
12.8 Example models......Page 352
12.9 Conclusions......Page 363
References......Page 364
CHAPTER 13. NUMERICAL AND ANALYTICAL ANALYSIS OF THE THERMOSOLUTAL CONVECTION IN AN ANNULAR FIELD: EFFECT OF THERMODIFFUSION......Page 368
13.2 Mathematical model......Page 369
13.3 Analytical solution......Page 373
13.4 Results and discussion......Page 377
13.5 Conclusions......Page 389
References......Page 390
14.1 Introduction......Page 393
14.2 Conjugated transport phenomena with pore structure......Page 394
14.3 Transport–reaction phenomena......Page 401
14.4 Boiling and interfacial transport......Page 406
14.5 Freezing and thawing......Page 412
14.6 Two-phase flow behavior......Page 417
References......Page 423
CHAPTER 15. DYNAMIC SOLIDIFICATION IN A WATER-SATURATED POROUS MEDIUM COOLED FROM ABOVE......Page 426
15.1 Introduction......Page 427
15.2 Mathematical formulation......Page 428
15.3 Numerical results......Page 434
15.4 Experimental results......Page 436
15.5 Conclusion......Page 442
References......Page 443
CHAPTER 16. APPLICATION OF FLUID FLOWS THROUGH POROUS MEDIA IN FUEL CELLS......Page 445
16.2 Operation principles of fuel cells......Page 446
16.3 Governing equations for the fluid flows in porous electrodes......Page 450
16.4 Multicomponent gas transport in porous electrodes......Page 454
16.5 CFD model predictions of fuel cells......Page 458
16.6 Concluding remarks......Page 465
References......Page 466
CHAPTER 17. MODELLING THE EFFECTS OF FAULTS AND FRACTURES ON FLUID FLOW IN PETROLEUM RESERVOIRS......Page 468
17.1 Introduction......Page 469
17.2 Single and multiphase flow......Page 470
17.3 Modelling flow in petroleum reservoirs where faults act as barriers......Page 473
17.4 Modelling flow in reservoirs where faults and fractures act as conduits......Page 490
17.5 Discussion and conclusions......Page 498
References......Page 499