Elsevier S & T

Transport Phenomena in Porous Media II

Pop, I.; Ingham, Derek B

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Table of contents
  • TRANSPORT PHENOMENA IN POROUS MEDIA IIiii
  • Copyright Pageiv
  • Contentsxi
  • CHAPTER 1. MODELLING FLUID FLOW IN SATURATED POROUS MEDIA AND AT INTERFACES1
  • 1.1 Introduction1
  • 1.2 The Brinkman–Forchheimer equation2
  • 1.3 Modelling a porous-medium/clear-fluid interface7
  • 1.4 Non-Newtonian fluid9
  • 1.5 Effect of rotation9
  • 1.6 Effect of a magnetic field10
  • 1.7 A reformulation of the momentum equation10
  • 1.8 Viscous dissipation13
  • 1.9 Radiation15
  • 1.10 Conclusion15
  • References16
  • CHAPTER 2. BOUNDARY ELEMENT METHOD FOR TRANSPORT PHENOMENA IN POROUS MEDIUM20
  • 2.1 Introduction20
  • 2.2 Governing equations22
  • 2.3 Boundary element method for potential flow in porous medium23
  • 2.4 Boundary domain integral method30
  • 2.5 Test example46
  • 2.6 Conclusion51
  • References51
  • CHAPTER 3. RECENT ADVANCES IN THE INSTABILITY OF FREE CONVECTIVE BOUNDARY LAYERS IN POROUS MEDIA54
  • 3.1 Introduction55
  • 3.2 The governing equations and basic flow55
  • 3.3 Perturbation equations57
  • 3.4 Linear evolution of vortices58
  • 3.5 Nonlinear evolution of vortices63
  • 3.6 Secondary instabilities70
  • 3.7 The effect of inertia on linear stability76
  • 3.8 Conclusion78
  • References79
  • CHAPTER 4. ONSET OF RAYLEIGH–BÉNARD CONVECTION IN POROUS BODIES82
  • 4.1 Introduction82
  • 4.2 Three-dimensional convection problem84
  • 4.3 A two-dimensional case: the rectangle87
  • 4.4 The rectangular box94
  • 4.5 The horizontal circular cylinder98
  • 4.6 Vertical cylinders103
  • 4.7 Onset of convection in spherical geometry107
  • 4.8 Concluding remarks110
  • References111
  • CHAPTER 5. STABILITY ANALYSIS OF DOUBLE-DIFFUSIVE CONVECTION IN POROUS ENCLOSURES113
  • 5.1 Introduction114
  • 5.2 Physical model and mathematical formulation118
  • 5.3 Finite-amplitude convection121
  • 5.4 Linear stability analysis125
  • 5.5 Conclusions151
  • References152
  • CHAPTER 6. CONVECTION IN ORDERED AND DISORDERED POROUS LAYERS155
  • 6.1 Introduction155
  • 6.2 Horton–Rogers–Lapwood experiments156
  • 6.3 Onset of convection in a homogeneous isotropic medium158
  • 6.4 Onset of convection in homogeneous anisotropic porous layers161
  • 6.5 Heterogeneous porous media163
  • 6.6 Construction of laboratory experiments164
  • 6.7 Experimental measurements166
  • 6.8 Conclusions174
  • References174
  • CHAPTER 7. MICROMECHANICS OF ORDERED, UNIDIRECTIONAL HETEROGENEOUS MATERIALS177
  • 7.1 Introduction177
  • 7.2 Effective conductivity178
  • 7.3 Effective permeability186
  • 7.4 Discussion194
  • References195
  • CHAPTER 8. MODELING TURBULENCE IN POROUS MEDIA198
  • 8.1 Introduction199
  • 8.2 Transition to turbulence in porous media200
  • 8.3 Averaging turbulence models202
  • 8.4 Modeling: averaging operators205
  • 8.5 Transport equations211
  • 8.6 Macroscopic model adjustment223
  • 8.7 Conclusions226
  • References228
  • CHAPTER 9. TURBULENCE CHARACTERISTICS IN POROUS MEDIA231
  • 9.1 Introduction231
  • 9.2 Experimental apparatus233
  • 9.3 Flow characteristics and flow patterns234
  • 9.4 Macroscopic momentum equation239
  • 9.5 Macroscopic energy equation244
  • 9.6 The 0-equation model246
  • 9.7 Production and dissipation of turbulence250
  • 9.8 Kolmogorov's length scale253
  • 9.9 Concluding remarks254
  • References255
  • CHAPTER 10. HEAT AND MASS TRANSFER IN POROUS MATERIAL257
  • 10.1 Introduction257
  • 10.2 Mathematical formulation259
  • 10.3 Applications260
  • 10.4 Conclusions272
  • References274
  • CHAPTER 11. ISOTHERMAL NUCLEATION AND BUBBLE GROWTH IN POROUS MEDIA AT LOW SUPERSATURATIONS276
  • 11.1 Introduction277
  • 11.2 Basic principles278
  • 11.3 Isothermal gas phase formation in porous media285
  • 11.4 Experiments287
  • 11.5 Simulations298
  • 11.6 Closure of mass balance equations308
  • 11.7 Conclusions310
  • References312
  • CHAPTER 12. EFFECTS OF ROTATION ON CONVECTION IN A POROUS LAYER DURING ALLOY SOLIDIFICATION316
  • 12.1 Introduction316
  • 12.2 Double-layer model318
  • 12.3 Chimney model325
  • 12.4 Single-layer model336
  • 12.5 Concluding remarks338
  • References339
  • CHAPTER 13. CHEMICALLY DRIVEN CONVECTION IN POROUS MEDIA341
  • 13.1 Introduction342
  • 13.2 Free convection near a stagnation point of a cylindrical body in a porous medium driven by the345
  • 13.3 Forced convection flow near a stagnation point of a cylindrical body in a porous medium driven352
  • 13.4 Chemically reactive flow near the stagnation point of a catalytic porous bed355
  • 13.5 Conclusion360
  • References362
  • CHAPTER 14. METHANE HYDRATES IN POROUS LAYERS: GAS FORMATION AND CONVECTION365
  • 14.1 Introduction366
  • 14.2 Phase change and gas flow369
  • 14.3 Similarity solution372
  • 14.4 Numerical solution for a plane-shaped dissociation front376
  • 14.5 The effect of a geothermal gradient381
  • 14.6 The effect of porosity and permeability non-uniformities390
  • 14.7 Concluding remarks393
  • References394
  • CHAPTER 15. GRAVITY DRIVEN FLOWS IN POROUS ROCKS: EFFECTS OF LAYERING, REACTION, BOILING AND DOUBLE397
  • 15.1 Introduction397
  • 15.2 Fundamental models399
  • 15.3 Effects of stratification in the rock or fluid403
  • 15.4 Reacting flows409
  • 15.5 Double advective currents413
  • 15.6 Currents with mass loss417
  • 15.7 Effects of confining geometry419
  • 15.8 Conclusions422
  • References423
  • CHAPTER 16. POROUS RIVERS: A NEW WAY OF CONCEPTUALISING AND MODELLING RIVER AND FLOODPLAIN FLOWS?425
  • 16.1 Introduction425
  • 16.2 Rivers as solid boundary problems427
  • 16.3 Vegetation in rivers and on floodplains434
  • 16.4 Analogies with atmospheric flows438
  • 16.5 The mathematical basis of porosity in rivers441
  • 16.6 Conclusions444
  • References445
Book details
  • Vendor Elsevier S & T
  • SKU 9780080439655
  • ISBN-13 9780080543178
  • Author Pop, I.; Ingham, Derek B
  • Category Technology & Engineering
  • Subject Materials Science

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Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence.



Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.