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Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory

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Abstract

In Part I macroscopic field equations of mass, linear and angular momentum, energy, and the quasistatic form of Maxwell's equations for a multiphase, multicomponent medium were derived. Here we exploit the entropy inequality to obtain restrictions on constitutive relations at the macroscale for a 2-phase, multiple-constituent, polarizable mixture of fluids and solids. Specific emphasis is placed on charged porous media in the presence of electrolytes. The governing equations for the stress tensors of each phase, flow of the fluid through a deforming medium, and diffusion of constituents through such a medium are derived. The results have applications in swelling clays (smectites), biopolymers, biological membranes, pulsed electrophoresis, chromotography, drug delivery, and other swelling systems.

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Author notes

  1. John H. Cushman

    Present address: Department of Molecular and Cellular Biology, Harvard University, 16 Divinity Ave., Cambridge, MA, 02138, U.S.A

Authors and Affiliations

  1. Center for Computational Mathematics, University of Colorado at Denver, Campus Box 170, P.O. Box 173364, Denver, CO, 80217-3364, U.S.A. e-mail

    Lynn Schreyer Bennethum

  2. Center for Applied Math, Purdue University, Math Sciences Building, W. Lafayette, IN, 47907, U.S.A

    John H. Cushman

Authors
  1. Lynn Schreyer Bennethum
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  2. John H. Cushman
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Correspondence to Lynn Schreyer Bennethum.

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Bennethum, L.S., Cushman, J.H. Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory. Transport in Porous Media 47, 337–362 (2002). https://doi.org/10.1023/A:1015562614386

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