| Description |
1 online resource (476 pages) : illustrations |
| Contents |
Cover -- Title Page -- Copyright Page -- Table of Contents -- Main notations -- Introduction -- Part one. Upscaling Methods -- Chapter 1. An Introduction to Upscaling Methods -- 1.1. Introduction -- 1.2. Heat transfer in a periodic bilaminate composite -- 1.3. Bounds on the effective coefficients -- 1.4. Self-consistent method -- Chapter 2. Heterogenous Medium: Is an Equivalent Macroscopic Description Possible? -- 2.1. Introduction -- 2.2. Comments on techniques for micro-macro upscaling -- 2.3. Statistical modeling -- 2.4. Method of multiple scale expansions -- 2.5. Comments on multiple scale methods and statistical methods -- Chapter 3. Homogenization by Multiple Scale Asymptotic Expansions -- 3.1. Introduction -- 3.2. Separation of scales: intuitive approach and experimental visualization -- 3.3. One-dimensional example -- 3.4. Expressing problems within the formalism of multiple scales -- Part two. Heat and Mass Transfer -- Chapter 4. Heat Transfer in Composite Materials -- 4.1. Introduction -- 4.2. Heat transfer with perfect contact between constituents -- 4.3. Heat transfer with contact resistance between constituents -- Chapter 5. Diffusion/Advection in Porous Media -- 5.1. Introduction -- 5.2. Diffusion-convection on the pore scale and estimates -- 5.3. Diffusion dominates at the macroscopic scale -- 5.4. Comparable diffusion and advection on the macroscopic scale -- 5.5. Advection dominant at the macroscopic scale -- 5.6. Very strong advection -- 5.7. Example: Porous medium consisting of a periodic lattice of narrow parallel slits -- 5.8. Conclusion -- Chapter 6. Numerical and Analytical Estimates for the Effective Diffusion Coefficient -- 6.1. Introduction -- 6.2. Effective thermal conductivity for some periodic media -- 6.3. Study of various self-consistent schemes -- 6.4. Comparison with experimental results for the thermal conductivity of cellular concrete -- Part three. Newtonian Fluid Flow Through Rigid Porous Media -- Chapter 7. Incompressible Newtonian Fluid Flow Through a Rigid Porous Medium -- 7.1. Introduction -- 7.2. Steady-state flow of an incompressible Newtonian fluid in a porous medium: Darcy's law -- 7.3. Dynamics of an incompressible fluid in a rigid porous medium -- 7.4. Appearance of inertial non-linearities -- 7.5. Summary -- Chapter 8. Compressible Newtonian Fluid Flow Though a Rigid Porous Medium -- 8.1. Introduction -- 8.2. Slow isothermal flow of a highly compressible fluid -- 8.3. Wall slip: Klinkenberg's law -- 8.4. Acoustics in a rigid porous medium saturated with a gas -- Chapter 9. Numerical Estimation of the Permeability of Some Periodic Porous Media -- 9.1. Introduction -- 9.2. Permeability tensor: recap of results from periodic homogenization -- 9.3. Steady state permeability of fibrous media -- 9.4. Steady state and dynamic permeability of granular media -- Chapter 10. Self-consistent Estimates and Bounds for Permeability -- 10.1. Introduction -- 10.2. Intrinsic (or steady state) permeability of granular and fibrous media -- 10.3. Dynamic permeability -- 10.4. Klinkenberg correction to intrinsic permeability -- 10.5. Thermal permeability 8230; compressibility of a gas in a porous medium -- 10.6. Analogy between the trapping constant and permeability -- 10.7. Conclusion -- Part four. Saturated Deformable Porous Media -- Chapter 11. Quasi-statics of Saturated Deformable Porous Media -- 11.1. Empty porous matrix -- 11.2. Def |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Description based on print version record |
| Subject |
Coupled problems (Complex systems)
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Homogenization (Differential equations)
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Inhomogeneous materials -- Mathematical models.
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| Form |
Electronic book
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| Author |
Boutin, Claude, author
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Geindreau, Christian, author
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| ISBN |
0470612037 (electronic bk.) |
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9780470612033 (electronic bk.) |
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