Turbulence In Porous Media

Turbulence In Porous Media
Contents:
Preface vii
Overview ix
List of Figures xiii
List of Tables xxiii
Nomenclature xxv
Latin Characters xxv
Greek Symbols xxix
Special Characters xxx
Subscripts xxxi
Superscripts xxxi
PART ONE Modeling 1
1 Introduction 3
1.1 Overview of Porous Media Modeling 3
1.2 Overview of Turbulence Modeling 9
1.3 Turbulent Flow in Permeable Structure 16
2 Governing Equations 19
2.1 Local Instantaneous Governing Equations 19
2.2 The Averaging Operators 21
2.3 Time Averaged Transport Equations 25
2.4 Volume Averaged Transport Equations 26
3 The Double-Decomposition Concept 29
3.1 Basic Relationships 29
3.2 Classification of Macroscopic Turbulence Models 32
4 Turbulent Momentum Transport 35
4.1 Momentum Equation 35
4.2 Turbulent Kinetic Energy 41
4.3 Macroscopic Turbulence Model 45
5 Turbulent Heat Transport 55
5.1 Macroscopic Energy Equation 55
5.2 Thermal Equilibrium Model 58
5.3 Thermal Non-Equilibrium Models 73
5.4 Macroscopic Buoyancy Effects 87
6 Turbulent Mass Transport 91
6.1 Mean Field 91
6.2 Turbulent Mass Dispersion 93
6.3 Macroscopic Transport Models 94
6.4 Mass Dispersion Coefficients 96
7 Turbulent Double Diffusion 113
7.1 Introduction 113
7.2 Macroscopic Double-Diffusion Effects 115
7.3 Hydrodynamic Stability 119
PART TWO Applications 123
8 Numerical Modeling and Algorithms 125
8.1 Introduction 125
8.2 The Need for Iterative Methods 125
8.3 Incompressible vs. Compressible Solution Strategies 127
8.4 Geometry Modeling 127
8.5 Treatment of the Convection Term 133
8.6 Discretized Equations for Transient Three-Dimensional Flows 137
8.7 Systems of Algebraic Equations 138
8.8 Treatment of the u,w-T Coupling 140
8.9 Treatment of the u,w-V Coupling 155
8.10 Treatment of the u,w-V-T Coupling 165
9 Applications in Hybrid Media 183
9.1 Forced Flows in Composite Channels 183
9.2 Channels with Porous and Solid Baffles 213
9.3 Turbulent Impinging Jet onto a Porous Layer 234
9.4 Buoyant Flows 250
9.5 Flow and Heat Transfer in a Back-Step 296
References 313
Index 329

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