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An analytical solution of compressible charged porous media
Author(s) -
Malakpoor K.,
Huyghe J.M.
Publication year - 2009
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900240
Subject(s) - porous medium , compressibility , diffusion , compressible flow , boundary value problem , porosity , mechanics , infinitesimal , materials science , thermodynamics , mathematical analysis , physics , mathematics , composite material
A one‐dimensional analytical solution is derived for saturated charged compressible porous media. The equations describe infinitesimal deformation of charged porous media saturated with a fluid with dissolved cations and anions. In the one‐dimensional case the governing equations reduce to a coupled diffusion equations for electro‐chemical potentials. Suitable initial and boundary conditions complete the equations.