Overview

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.

Full Product Details

Author:   William G. Gray ,  Cass T. Miller
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Dimensions:   Width: 15.50cm , Height: 3.60cm , Length: 23.50cm
Weight:   1.082kg
ISBN:  

9783319040097

ISBN 10:   331904009
Pages:   582
Publication Date:   10 March 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of 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.

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