Essentials of Heat and Fluid Flow in Porous Media by Arunn Narasimhan
Foreword I … iii
Foreword II … vii
Preface … ix
Acknowledgements … xiii
Full Table of Content — PDF Download
Brief Content: (8 Chapters + Section Headings, minus the Sub-sections)
1. Basic Concepts … 1
1.1 Porous Medium Definition . . . . . . . . . . . . . . . 1
1.2 Porosity . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.3 Percolation and Tortuosity . . . . . . . . . . . . . . 9
1.4 Volume Averaging Procedure . . . . . . . . . . . . . 12
1.5 Problems . . . . . . . . . . . . . . . . . . . . . . . . 18
2. Heat Conduction in Porous Medium … 23
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . 23
2.2 First Law of Thermodynamics . . . . . . . . . . . . 23
2.3 Second Law of Thermodynamics . . . . . . . . . . . 31
2.4 Effective Stagnant Thermal Conductivity . . . . . . 32
2.5 Thermal Dispersion . . . . . . . . . . . . . . . . . . 42
2.6 Local Thermal Non-Equilibrium Model . . . . . . . . 44
2.7 Transient Heat Conduction in Porous Medium . . . 47
2.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . 53
3. Fluid Flow through a Porous Medium … 57
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . 57
3.2 Historical Overview . . . . . . . . . . . . . . . . . . 59
3.3 Physics of Flow through Porous Media . . . . . . . . 65
3.4 Extensions of the HDD Model . . . . . . . . . . . . . 76
3.5 Permeability and Form Coefficient . . . . . . . . . . 80
3.6 Flow Transition . . . . . . . . . . . . . . . . . . . . . 97
3.7 Miscellaneous Topics . . . . . . . . . . . . . . . . . . 103
3.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . 112
4. Forced Convection through Porous Medium … 117
4.1 Energy Equation with Flow . . . . . . . . . . . . . . 117
4.2 Forced Convection in Porous Medium over a Flat
Plate . . . . . . . . . . . . . . . . . . . . . . . . . . . 120
4.3 Forced Convection in Porous Medium Channel . . . 125
4.4 Heat Transfer Enhancement Aspects . . . . . . . . . 134
4.5 Other Forced Convection Configurations . . . . . . . 148
4.6 Viscous Dissipation Effects . . . . . . . . . . . . . . 149
4.7 Problems . . . . . . . . . . . . . . . . . . . . . . . . 152
5. Natural Convection through Porous Medium … 157
5.1 Natural Convection Boundary Layers . . . . . . . . . 157
5.2 Natural Convection with Vertical Thermal Gradient 162
5.3 Natural Convection with Horizontal Thermal Gradient 167
5.4 Heatline Visualization . . . . . . . . . . . . . . . . . 173
5.5 Non-Darcy, LTNE and Heat Generation Effects . . . 176
5.6 Viscous Dissipation . . . . . . . . . . . . . . . . . . . 187
5.7 Problems . . . . . . . . . . . . . . . . . . . . . . . . 188
6. Porous Medium Aspects of Biological Systems … 189
6.1 Introduction to Biothermofluids . . . . . . . . . . . . 189
6.2 Porous Medium Modelling in Bio-heat Transport . . 191
6.3 Modelling Drug Delivery . . . . . . . . . . . . . . . . 196
6.4 LDL Transport across Arterial Tissues . . . . . . . . 204
6.5 Porous Medium Modelling in Bio-mass Transport . . 208
7. Radiation Heat Transfer in Porous Medium … 219
7.1 The Radiative Transfer Equation (RTE) . . . . . . . 219
7.2 The Energy Equation with Radiation . . . . . . . . . 220
7.3 Radiative Property Measurement . . . . . . . . . . . 223
7.4 Solving the RTE . . . . . . . . . . . . . . . . . . . . 224
7.5 Coupling of RTE with other Heat Transfer Modes . 225
8. Advanced Topics … 227
8.1 Phase Change in Porous Media . . . . . . . . . . . . 227
8.2 Variable Viscosity Porous Medium Flows . . . . . . 237
8.3 Flow and Convection in Bi-disperse Porous Media . 246
8.4 Two-phase Flow through Porous Media . . . . . . . 258
8.5 LBM Formulation for Porous Medium Flows . . . . 265
8.6 Combustion in Inert Porous Media . . . . . . . . . . 270
Suggested Reading … 273
Appendix I: Porosity and Permeability Values … 275
Appendix II: Convection Results and Correlations … 277
Bibliography … 289
Index … 301
Arunn Narasimhan 