"Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems" by William G. Gray and Cass T. Miller
Advances in Geophysical and Environmental Mechanics and Mathematics
Sрringеr | 2014 | ISBN: 331904009X 9783319040097 9783319040103 | 609 pages | PDF | 7 MB
This volume is dedicated to the methods for upscaling conservation and thermodynamic equations for application in the study of porous medium systems which are useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
Contents Preface
Notation
1 Elements of Thermodynamically Constrained Averaging Theory
2 Microscale Conservation Principles
3 Microscale Thermodynamics
4 Microscale Equilibrium Conditions
5 Microscale Closure for a Fluid Phase
6 Macroscale Conservation Principles
7 Macroscale Thermodynamics
8 Evolution Equations
9 Single-fluid-phase Flow
10 Single-fluid-phase Species Transport
11 Two-phase Flow
12 Modeling Approach and Extensions
Appendix A : Considerations on Calculus of Variations
Appendix B : Derivations of Averaging Theorems
Appendix C : Constrained Entropy Inequality Derivations
Index
with TOC BookMarkLinks
Download File Size:6.13 MB
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