Turbulence in Porous Media

PART ONE. Modeling

1. Introduction

1.1 Overview of Porous Media Modeling

1.2 Overview of Turbulence Modeling

1.3 Turbulent Flow in Permeable Structures

2. Governing Equations

2.1 Local Instantaneous Governing Equations

2.2 The Averaging Operators

2.3 Time-Averaged Transport Equations

2.4 Volume-Averaged Transport Equations

3. The Double-Decomposition Concept

3.1 Basic Relationships

3.2 Classification of Macroscopic Turbulence Models

4. Turbulent Momentum Transport

4.1 Momentum Equation

4.2 Turbulent Kinetic Energy

4.3 Macroscopic Turbulence Model

5. Turbulent Heat Transport

5.1 Macroscopic Energy Equation

5.2 The Thermal Equilibrium Model

5.3 The Thermal Nonequilibrium Model

5.4 Macroscopic Buoyancy Effects

6. Turbulent Mass Transport

6.1 Mean Field

6.2 Turbulent Mass Dispersion

6.3 Macroscopic Transport Models

6.4 Mass Dispersion Coefficients

7. Turbulent Double Diffusion

7.1 Introduction

7.2 Macroscopic Double-Diffusion Effects

7.3 Hydrodynamic Stability

8. Turbulent Combustion

8.1 Porous Combustors

8.2 Macroscopic Flow and Heat Transfer

8.3 Macroscopic Combustion Modeling

9. Moving Porous Media

9.1 Moving Systems

9.2 Basic Definitions

9.3 Macroscopic Equation

PART TWO. Application

10. Numerical Modeling and Algorithms

10.1 Introduction

10.2 The Need for Iterative Methods

10.3 Incompressible Versus Compressible Solution Strategies

10.4 Geometry Modeling

10.5 Treatment of the Convection Term

10.6 Discretized Equations for Transient Three-Dimensional Flows

10.7 Systems of Algebraic Equations

10.8 Treatment of the u,w–T Coupling

10.9 Treatment of the u,w–V Coupling

10.10 Treatment of the u, w–V–T Coupling

11. Applications in Hybrid Media

11.1 Forced Flows in Composite Channels

11.2 Channels with Porous and Solid Baffles

11.3 Turbulent Impinging Jet onto a Porous Layer

11.4 Buoyant Flows

11.5 Flow and Heat Transfer in a Back-Step

11.6 Porous Burners

11.7 Moving Beds

References