Multicomponent, Multiphase Thermodynamics of Swelling Porous Media With Electroquasistatics. 2. Constitutive Theory

Abstract

In Part I macroscopic eld 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 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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Document Details

Document Type
Technical Report
Publication Date
Aug 08, 2001
Accession Number
ADA453086

Entities

People

  • John H. Cushman
  • Lynn S. Bennethum

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Charge Density
  • Charged Particles
  • Chemical Reactions
  • Coefficients
  • Constitutive Equations
  • Electric Fields
  • Energy
  • Equations
  • Fluids
  • Free Energy
  • Heat Energy
  • Liquid Phases
  • Materials
  • Momentum
  • Solid Phases
  • Thermodynamics

Readers

  • Computational Fluid Dynamics (CFD)
  • Nanocomposite Materials Science
  • Plasma Physics / Magnetohydrodynamics