Thermal Non Equilibrium in Heterogeneous Media 1st Edition by Marcelo De Lemos 9783319146652 3319146653

1 Heterogeneous Media

1.1 Introduction

1.2 Outline of This Book

References

2 Modeling of Thermal Non-equilibrium

2.1 Introduction

2.2 Governing Equations

2.2.1 Local Instantaneous Transport Equations

2.2.2 Double-Decomposition of Variables

2.2.3 Macroscopic Flow Equations

2.2.4 Macroscopic Energy Equations

2.2.5 Correlations for Interfacial Heat Transfer, h_{i}

2.3 Periodic Cell

2.3.1 Numerical Method and Boundary Conditions

2.3.2 Film Coefficient Hi

2.3.3 A Correlation for Interstitial Heat Transfer

2.4 Laminar Flow in a Channel

2.4.1 Non-dimensional Parameters

2.4.2 Numerical Method and Boundary Conditions

2.4.3 Local Nusselt Numbers

2.5 Turbulent Flow in a Channel

2.6 Chapter Summary

References

3 Moving Systems

3.1 Introduction

3.2 Macroscopic Laminar Model for Fixed and Moving Beds

3.2.1 Fixed Bed

3.2.2 Moving Bed

3.3 Turbulence Model for Flow Equations

3.3.1 Fixed Bed

3.3.2 Moving Bed

3.4 Thermal Transport

3.4.1 Two-Energy Equation Model

3.4.2 Interfacial Heat Transfer Coefficient

3.4.3 Wall Treatment and Boundary Conditions

3.5 Results for Laminar Parallel Flow

3.5.1 Effect of Reynolds Number, {varvec {Re}_{ D}}

3.5.2 Effect of Slip Ratio, {varvec {u}_{ s} /{u}_{ D}}

3.5.3 Effect of Darcy Number, {varvec {Da}}

3.5.4 Effect of Porosity, {varvec { phi}}

3.5.5 Effect of Thermal Capacity Ratio {varvec (rho c_{p} )_{s} /(rho c_{p} )_{f}}

3.5.6 Effect of Thermal Conductivity Ratio {varvec k_{s} /k_{f}}

3.6 Results for Turbulent Parallel Flow

3.6.1 Effect of Reynolds Number, {varvec Re_{D}}

3.6.2 Effect of Slip Ratio, {varvec {u}_{ s} /{u}_{ D}}

3.6.3 Effect of Darcy Number, {varvec Da}

3.6.4 Effect of Porosity, {varvec phi}

3.7 Chapter Summary

References

4 Combustion Systems

4.1 Introduction

4.2 Porous Burners

4.3 Macroscopic Flow

4.3.1 Macroscopic Continuity Equation

4.3.2 Macroscopic Momentum Equation

4.3.3 Turbulence Modeling

4.4 Heat Transfer

4.4.1 Local Thermal Non-equilibrium Model (LTNE)

4.5 Combustion Modeling

4.5.1 Mass Transport for Fuel

4.5.2 Chemical Reaction

4.6 Heat Release

4.6.1 Double-Decomposition of Variables

4.6.2 Macroscopic Fuel Consumption

4.7 Numerical Results

4.7.1 Simulation Details and Boundary Conditions

4.7.2 Grid Independence Study

4.7.3 One Dimensional Combustor

4.8 Chapter Summary

References

5 Double Diffusion

5.1 Introduction

5.2 Mass Transport

5.3 Averaging Operators

5.4 Time Averaging for Buoyant Flows

5.5 Volume Averaging

5.5.1 Mean Continuity Equation

5.5.2 Mean Momentum Transport

5.5.3 Macroscopic Turbulence Field

5.6 Two-Energy Equation Model (2EEM)

5.6.1 Interfacial Heat Transfer, bf{h_{i}}

5.7 Mass Transport

5.8 Double-Diffusion Effects with a 2EEM Model

5.8.1 Mean Flow

5.8.2 Turbulent Field

5.9 Chapter Summary

References

6 Final Remarks