Multicomponent, Multiphase Thermodynamics of Swelling Porous Media With Electroquasistatics. 2. Constitutive Theory
COLORADO UNIV AT DENVER
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In Part I macroscopic eld equations of mass, linear and angular momentum, energy, and the quasistatic form of Maxwells 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 uids and solids. Speci c emphasis is placed on charged porous media in the presence of electrolytes. The governing equations for the stress tensors of each phase, ow of the uid through a deforming medium, and di usion 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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