Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems
(Sprache: Englisch)
This unitary resource sets out the derivation of conservation, thermodynamic, and evolution equations used in modeling multiphase porous media systems. It includes detailed, multiscale applications and a forward-looking discussion of open research issues.
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This unitary resource sets out the derivation of conservation, thermodynamic, and evolution equations used in modeling multiphase porous media systems. It includes detailed, multiscale applications and a forward-looking discussion of open research issues.
Klappentext zu „Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems “
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 microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
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 microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
Inhaltsverzeichnis zu „Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems “
Chapter 1 Elements of Thermodynamically Constrained Averaging TheoryChapter 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
Bibliographische Angaben
- Autoren: William G. Gray , Cass T. Miller
- 2014, 2014., 582 Seiten, mit farbigen Abbildungen, Maße: 15,6 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 331904009X
- ISBN-13: 9783319040097
- Erscheinungsdatum: 10.03.2014
Sprache:
Englisch
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