PM Book – Table of Contents

Page

pm-book-t 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