Principles of Heat Transfer in Porous Media

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171,19 

Mechanical Engineering Series

ISBN: 0387945504
ISBN 13: 9780387945507
Autor: Kaviany, Maasoud
Verlag: Springer Verlag GmbH
Umfang: xxii, 712 S.
Erscheinungsdatum: 21.09.1995
Produktform: Gebunden/Hardback
Einband: GEB

This text aims to provide practising engineers and researchers with the tools needed to deal with heat transfer in the porous media encountered in geological, environmental, petrochemical and other industrial processes.

Artikelnummer: 1091711 Kategorie:

Beschreibung

Convective heat tranfer is the result of fluid flowing between objects of different temperatures. Thus it may be the objective of a process (as in refrigeration) or it may be an incidental aspect of other processes. This monograph reviews in a concise and unified manner recent contributions to the principles of convective heat transfer for single- and multi-phase systems: It summarizes the role of the fundamental mechanism, discusses the governing differential equations, describes approximation schemes and phenomenological models, and examines their solutions and applications. After a review of the basic physics and thermodynamics, the book divides the subject into three parts. Part 1 deals with single-medium transfer, specifically with intraphase transfers in single-phase flows and with intramedium transfers in two-phase flows. Part 2 deals with fluid-solid transfer processes, both in cases where the interface is small and in cases where it is large, as well as liquid-liquid transfer processes. Part 3 considers three media, addressing both liquid-solid-solid and gas-liquid-solid systems.

Inhaltsverzeichnis

Introduction.- Single-Phase Flow: Fluid Mechanics. Conduction Heat Transfer. Convection Heat Transfer. Radiation Heat Transfer. Mass Transfer in Gases. Thermal Nonequilibrium.- Two-Phase Flow: Fluid Mechanics. Thermodynamics. Conduction and Convection. Transport Through Bounding Surfaces. Phase Change.- Nomenclature.- Glossary.- Citation Index.- Subject Index.

Autorenporträt

Inhaltsangabe1 Introduction.- 1.1 Historical Background.- 1.2 Length, Time, and Temperature Scales.- 1.3 Scope.- 1.4 References.- I Single-Phase Flow.- 2 Fluid Mechanics.- 2.1 Stokes Flow and Darcy Equation.- 2.2 Porosity.- 2.3 Pore Structure.- 2.4 Permeability.- 2.4.1 Capillary Models.- 2.4.2 Hydraulic Radius Model.- 2.4.3 Drag Models for Periodic Structures.- 2.5 High Reynolds Number Flows.- 2.5.1 Macroscopic Models.- 2.5.2 Microscopic Fluid Dynamics.- 2.5.3 Turbulence.- 2.6 Brinkman Superposition of Bulk and Boundary Effects.- 2.7 Local Volume-Averaging Method.- 2.7.1 Local Volume Averages.- 2.7.2 Theorems.- 2.7.3 Momentum Equation.- 2.8 Homogenization Method.- 2.8.1 Continuity Equation.- 2.8.2 Momentum Equation.- 2.9 Semiheuristic Momentum Equations.- 2.10 Significance of Macroscopic Forces.- 2.10.1 Macroscopic Hydrodynamic Boundary Layer.- 2.10.2 Macroscopic Entrance Length.- 2.11 Porous Plain Media Interfacial Boundary Conditions.- 2.11.1 Slip Boundary Condition.- 2.11.2 On Beavers-Joseph Slip Coefficient.- 2.11.3 Taylor-Richardson Results for Slip Coefficient.- 2.11.4 Slip Coefficient for a Two-Dimensional Structure.- 2.11.5 No-Slip Models Using Effective Viscosity.- 2.11.6 Variable Effective Viscosity for a Two-Dimensional Structure.- 2.11.7 Variable Permeability for a Two-Dimensional Structure.- 2.12 Variation of Porosity near Bounding Impermeable Surfaces.- 2.12.1 Dependence of Average Porosity on Linear Dimensions of System.- 2.12.2 Local Porosity Variation.- 2.12.3 Velocity Nonuniformities Due to Porosity Variation.- 2.12.4 Velocity Nonuniformity for a Two-Dimensional Structure.- 2.13 Analogy with Magneto-Hydrodynamics.- 2.14 References.- 3 Conduction Heat Transfer.- 3.1 Local Thermal Equilibrium.- 3.2 Local Volume Averaging for Periodic Structures.- 3.2.1 Local Volume Averaging.- 3.2.2 Determination of bf and bs.- 3.2.3 Numerical Values for bf and bs.- 3.3 Particle Concentrations from Dilute to Point Contact.- 3.4 Areal Contact Between Particles Caused by Compressive Force.- 3.4.1 Effect of Rarefaction.- 3.4.2 Dependence of Gas Conductivity on Knudsen Number.- 3.5 Statistical Analyses.- 3.5.1 A Variational Formulation.- 3.5.2 A Thermodynamic Analogy.- 3.6 Summary of Correlations.- 3.7 Adjacent to Bounding Surfaces.- 3.7.1 Temperature Slip for a Two-Dimensional Structure.- 3.7.2 Variable Effective Conductivity for a Two-Dimensional Structure.- 3.8 On Generalization.- 3.9 References.- 4 Convection Heat Transfer.- 4.1 Dispersion in a Tube-Hydrodynamic Dispersion.- 4.1.1 No Molecular Diffusion.- 4.1.2 Molecular Diffusion Included.- 4.1.3 Asymptotic Behavior for Large Elapsed Times.- 4.1.4 Turbulent Flow.- 4.2 Dispersion in Porous Media.- 4.3 Local Volume Average for Periodic Structures.- 4.3.1 Local Volume Averaging for ks = 0.- 4.3.2 Reduction to Taylor-Aris Dispersion.- 4.3.3 Evaluation of u' and b.- 4.3.4 Results for ks = 0 and In-Line Arrangement.- 4.3.5 Results for ks ? 0 and General Arrangements.- 4.4 Three-Dimensional Periodic Structures.- 4.4.1 Unit-Cell Averaging.- 4.4.2 Evaluation of u', b, and D.- 4.4.3 Comparison with Experimental Results.- 4.4.4 Effect of Darcean Velocity Direction.- 4.5 Dispersion in Disordered Structures-Simplified Hydrodynamics.- 4.5.1 Scheidegger Dynamic and Geometric Models.- 4.5.2 De Josselin De Jong Purely Geometric Model.- 4.5.3 Saffman Inclusion of Molecular Diffusion.- 4.5.4 Horn Method of Moments.- 4.6 Dispersion in Disordered Structures-Particle Hydrodynamics.- 4.6.1 Local Volume Averaging.- 4.6.2 Low Peclet Numbers.- 4.6.3 High Peclet Numbers.- 4.6.4 Contribution of Solid Holdup (Mass Transfer).- 4.6.5 Contribution Due to Thermal Boundary Layer in Fluid.- 4.6.6 Combined Effect of All Contributions.- 4.7 Properties of Dispersion Tensor.- 4.8 Experimental Determination of D.- 4.8.1 Experimental Methods.- 4.8.2 Entrance Effect.- 4.8.3 Effect of Particle Size Distribution.- 4.8.4 Some Experimental Results and Correlations.- 4.9 Dispersion in Oscillating Flow.- 4.9.1 Formulation and Solution.-

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