A variational formulation for coupled physicochemical flows during finite deformations of charged porous media

✍ Scribed by M.E. Levenston; S.R. Eisenberg; A.J. Grodzinsky

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 579 KB
• Volume: 35
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(98)00106-1

✦ Synopsis

Polymer gels\ hydrated biological tissues and other charged porous media may exhibit macroscopic coupling between solid deformations and internal ~uid\ chemical and electrical ~ows[ In this manuscript\ we develop a variationally motivated _nite deformation theory for describing such coupled phenomena[ The formulation combines mathematical descriptions of the power balance associated with solid deformation and ~uid and solute ~ows for an arbitrary number of solute species\ and includes the macroscopic phenomenological coupling relations of nonequilibrium thermodynamics[ Particular implementations of the theory are discussed for a charged\ porous medium interacting with a binary electrolyte and for the addition of a third\ possibly charged solute species to such a system[ This theoretical framework is suitable for modeling physicochemical interactions in a large class of hydrated porous media[