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IIT Kharagpur
CONTENTS
Title Page i
Certificate of Approval v
Certificate vii
Acknowledgement ix
Declaration xii
List of Symbols xiii
Abstract xv
Contents xvii
Chapter 1 Introduction 1
1.1 Non-Newtonian Fluid 1
1.2 Porous Medium – Heat and Mass Transfer 4
1.2.1 Equation of Continuity 7
1.2.2 Equation of Motion 7
1.2.3 Energy and Concentration Equations 10
1.3 Literature Review 12
1.4 Organization of the Thesis 25
Chapter 2 Effect of Thermal Dispersion on Natural Convection Heat 27
Transfer in a Thermally Stratified Medium 2.1 Introduction 27
2.2 Governing Equations 28
2.3 Results and Discussion 34
2.4 Conclusions 40
Chapter 3 Effect of Viscous Dissipation and Variable Viscosity on 41 Natural Convection Heat Transfer
3.1 Introduction
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IIT Kharagpur
3.2 Governing Equations 42 3.3 Numerical Method 46 3.4 Results and Discussion 47 3.5 Conclusions 55
Chapter 4 Effect of Melting and Thermo-Diffusion on Natural 57 Convection Heat and Mass Transfer
4.1 Introduction 57 4.2 Governing Equations 58 4.3 Results and Discussion 63 4.3.1 Aiding Buoyancy 64 4.3.2 Opposing Buoyancy 68 4.4 Conclusions 72
Chapter 5 Effect of Melting on Mixed Convection Heat 73 and Mass Transfer
5.1 Introduction 73 5.2 Governing Equations 74 5.3 Results and Discussion 77 5.3.1 Aiding Flow 78 5.3.2 Opposing Flow 86 5.4 Conclusions 91
Chapter 6 The Effect of Double Dispersion on Natural Convection 93 Heat and Mass Transfer
6.1 Introduction 93 6.2 Governing Equations 94 6.3 Results and Discussion 97 6.4 Conclusions 107 Contents
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IIT Kharagpur
Chapter 7 The Effect of Double Dispersion on Mixed Convection 109 Heat and Mass Transfer
7.1 Introduction 109 7.2 Governing Equations 110 7.3 Results and Discussion 113 7.3.1 Aiding Buoyancy 113 7.3.2 Opposing Buoyancy 117 7.4 Conclusions 121
Chapter 8 Effect of Viscous Dissipation on Natural Convection Heat 123 and Mass Transfer from Vertical Cone
8.1 Introduction 123 8.2 Governing Equations 124 8.3 Numerical Method 127 8.4 Results and Discussion 129 8.4.1 Aiding Buoyancy 129 8.4.2 Opposing Buoyancy 136 8.5 Conclusions 142
Conclusions and Future Scopes of Study 143
Bibliography 145
Curriculum Vitae 155
List of Publications 157
Contents
