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On the electro-osmotic flow in a saturated porous medium
Authors:J.L. Auriault  T. Strzelecki
Affiliation:Institut de Mécanique de Grenoble, Laboratoire associé au C.N.R.S. No. 6, B.P. 53X 38041 Grenoble Cedex, France;Instytut Geotechniki, Politechniki Wroclawskiej, pl. Grunwaldzki 9 Wroclaw, Poland
Abstract:
Electro-osmosis in a saturated porous rigid medium is studied by both theoretical and experimental approach. Relationships giving liquid and electrical coupled macroscopic flows are obtained from the homogeneization method. They point out possible non symmetrical cross effects that explain deviations from Onsager reciprocal relations. Experiments on a kaolinite are reported which exhibit an important non symmetrical coupling.
Keywords:ion mobility  electric charge of aquo-ions  gravity acceleration  current density  relative current density  Boltzmann constant  characteristic length of the micro-structure  outward normal to surfaces  pressure in the liquid  electric charge density  electric charge density in the liquid  velocity of the fluid  microscopic space variable  microscopic space variable  diffusion coefficient  electric field  macroscopic characteristic length  second order tensors coefficients of the linear macroscopic flow laws  radius of the aquo-ion  absolute temperature  electric potential  γ  amplitude of the small perturbation  Kronecker symbol  surface charge density on Γ  ?  small parameter characterizing the medium structure  μ  viscosity of the liquid  specific mass of the liquid  σ  conductivitv of the ion-containina fluid  Γ  solid-liquid-contact surface  θ  dielectric tensor  Ω  period of the micro-structure  solid, liquid part of Ω
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