Publication 17-CNA-021

Multi-component Multiphase Flow

Brian Seguin
Department of Mathematics and Statistics
Loyola University Chicago
Chicago , IL 60660
bseguin@luc.edu

Noel J. Walkington
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
noelw@andrew.cmu.edu

Abstract: An axiomatic foundation for models of multi-component multiphase porous ow appearing ubiquitously in the engineering literature is developed. This unifies and extends various disparate and empirical formulations appearing in the literature. Constitutive restrictions are derived from an appropriate statement of the second law of thermodynamics, and the corresponding dissipation inequalities establish stability of solutions. The convexity properties and variational structure of these models are elucidated.

Get the paper in its entirety as  17-CNA-021.pdf

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