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Introduction to the thermodynamically constrained averaging theory for porous medium systems

Author: William G Gray; Cass T Miller
Publisher: Heidelberg : Springer, [2014]
Series: Advances in geophysical and environmental mechanics and mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems. The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Gray, William G.
Introduction to the thermodynamically constrained averaging theory for porous medium systems.
Cham, [Germany] ; Heidelberg, [Germany] : Springer, ©2014
xxxiv, 582 pages
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: William G Gray; Cass T Miller
ISBN: 9783319040103 3319040103 331904009X 9783319040097
OCLC Number: 871176374
Notes: Includes index.
Description: 1 online resource.
Contents: Chapter 1 Elements of Thermodynamically Constrained Averaging Theory --
Chapter 2 Microscale Conservation Principles --
Chapter 3 Microscale Thermodynamics --
Chapter 4 Microscale Equilibrium Conditions --
Chapter 5 Microscale Closure for a Fluid Phase --
Chapter 6 Macroscale Conservation Principles --
Chapter 7 Macroscale Thermodynamics --
Chapter 8 Evolution Equations --
Chapter 9 Single-Fluid-Phase Flow --
Chapter 10 Single-Fluid-Phase Species Transport --
Chapter 11 Two-Phase Flow --
Chapter 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.
Series Title: Advances in geophysical and environmental mechanics and mathematics.
Responsibility: William G. Gray, Cass T. Miller.
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