Flow of Electrically Charged Fluids Through Elastic Porous Media

Abstract: We study the flow of an electrically charged fluid through an elastic and porous medium. A three continuum model consisting of an elastic solid, a viscous fluid, and a mobile charge continuum is used. The relevant laws of physics are applied systematically to the constituents or the combined continuum, leading to their continuity equations for conservation of mass or charge, linear and angular momentum equations as well as constitutive relations. The analysis assumes quasistatic electric fields and is for nonmagnetizable materials. The resulting theory is nonlinear, valid for large deformations and strong fields and can be specialized or generalized in various ways.