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" Thermal Flows in Porous Media "
by Horia I. Ene, Dan Poliševski.
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BL
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| Record Number
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773184
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b593178
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| Main Entry
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by Horia I. Ene, Dan Poliševski.
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| Title & Author
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Thermal Flows in Porous Media\ by Horia I. Ene, Dan Poliševski.
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| Publication Statement
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Dordrecht : Springer Netherlands, 1987
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| Series Statement
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Theory and applications of transport in porous media, 1.
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| Page. NO
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(208 pages)
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| ISBN
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9400937172
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: 9401081646
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: 9789400937178
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: 9789401081641
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| Contents
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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
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| Abstract
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Thermal flow in porous media is important in a wide range of areas, including oil recovery, geothermal development, the chemical and nuclear industries, civil engineering, energy storage and energy conversion. This monograph uses a systematic, rigorous and unified treatment to provide a general understanding of the phenomena involved. General equations for single- or multiphase flow (including an arbitrary number of components inside each phase), diffusion and chemical reactions are presented. The boundary conditions which may be imposed, the non-dimensional parameters, the structure of the solutions, the stability of finite amplitude solutions and many other related topics are also studied. Although the treatment is basically mathematical, specific physical problems are also dealt with. There are two major fields of application: natural convection and underground combustion. Both are discussed in detail. Various examples with exact or numerical solutions in the case of bounded or unbounded domains are presented, accompanied by extensive comment.
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Geography.
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| LC Classification
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QC155.B946 1987
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Dan Poliševski
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Horia I Ene
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