Thermal Flows in Porous Media by H.I. EneThermal Flows in Porous Media by H.I. Ene

Thermal Flows in Porous Media

byH.I. Ene, Dan Polisevski

Paperback | October 1, 2011

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The transport of heat through a porous medium in the presence of exterior forces, generally produced by the Earth's gravitational field and/or a pressure gradient, is called conduction when the Darcean fluid is static (motionless), and convection when the Darcean fluid is in motion. It is customary to use the term convection also to describe the motion which arises from the density differences due to temperature gradients within the Darcean fluid. We think that because this last phenomenon is more general it should be given a specific name; here we call it thermal flow. In the sense of the above definitions, convection and thermal flow are two distinct phenomena (they occur together, in underground combustion for instance), and the convective motion which arises when a Darcean l'luid is in contact with a source of heat is a particular case of thermal flow. Thermal flow occurs naturally and is important in many geophysical and industrial problems, particularly in oil exploration, and in the petroleum, chemical and nuclear industries (for instance, in the evaluation of capability of heat-removal from a hypothetical accident in a nuclear reactor). It can play a part in the transfer of heat from the deep interior of the Earth to a shallow depth in the geothermal regions. However, in the field of energy conversion little attention has yet been paid to the insulating characteristics of the saturated porous materials introduced in some enclosures (storage tanks) to decrease the convective and radiative transfer of heat.
Title:Thermal Flows in Porous MediaFormat:PaperbackPublished:October 1, 2011Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401081646

ISBN - 13:9789401081641

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Table of Contents

Introduction PART I. SINGLE PHASE FLOW Chapter 1. The Homogenization Method for the Study of Fluid Flow in Porous Media1. Homogenization of Second-Order Equation2. Darcy's Law and Continuity Equation3. Thermal Equation for Flow in Porous Media4. Natural Convection5. Convergence of the Homogenization Process6. Boundary Conditions7. Dimensionless Parameters8. Comments and Bibliographical Notes Chapter 2. Natural Convection in Bounded Domains1. The Steady Case. Basic Results2. The Small Rayleigh Number Case. Asymptotic Expansions3. The Structure of Steady Solutions4. The Evolution Case5. Comments and Bibliographical Notes Chapter 3. Natural Convection in Unbounded Domains1. Horizontal Porous Layer2. Exterior Problem3. Natural Convection Between Two Horizontal Concentric Cylinders4. Thermal Boundary-Layer Approximately for Vertical Flow5. Comments and Bibliographical Notes PART II. MULTIPHASE FLOW Chapter 4. Macroscopic Equations1. Equations for the Pore Level2. Macroscopic Balance Equations3. The Macroscopic Entropy Balance Equation4. Simplifying Assumptions5. Comments and Bibliographical Notes Chapter 5. Underground Combustion1. Different Models2. Equations for Combustion with Reaction Zone3. The Thin Reaction Zone4. Numerical Examples5. Comments and Bibliographical Notes Appendix 1. Balance Equations for Continuous Media Appendix 2. Distributions and Sobolev Spaces References Index of Symbols Subject Index