Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems (Advances in Geophysical and Environmental Mechanics and Mathematics) - Softcover

Gray, William G.; Miller, Cass T.

 
9783319355016: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems (Advances in Geophysical and Environmental Mechanics and Mathematics)
Softcover
ISBN 10: 3319355015 ISBN 13: 9783319355016
Verlag: Springer, 2016

Inhaltsangabe

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.

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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.

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319355015
ISBN 13 
9783319355016
Einband
Taschenbuch
Anzahl der Seiten
616
Kontakt zum Hersteller
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Darmstadt
64293
Deutschland

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9783319040097: Introduction to the Thermodynamically Constrained Averaging Theory for Porous Medium Systems (Advances in Geophysical and Environmental Mechanics and Mathematics)

Vorgestellte Ausgabe

ISBN 10:  331904009X ISBN 13:  9783319040097
Verlag: Springer, 2014
Hardcover