Benard Instability in a Flat Electrolyte Solution Layer between Two Horizontal Ion-Selective Membranes
D. A. Bograchev, A. A. Preobrazhenskii, and A. D. Davydov
Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Moscow, Russia
e-mail: bograchev@gmail.com
Received June 26, 2007
Abstract—The convective stability of a flat layer of a binary electrolyte solution (an electrolyte containing cat-
ions of one type and anions of one type) between two horizontal ion-selective membranes under electric current
flow conditions was studied theoretically. Membranes only permeable to anions were considered. Apart from
changes in solution density resulting from solution concentration changes under the action of current, the effect
of electroosmotic slip (violation of the adherence condition) at the interface between the membrane and elec-
trolyte solution was taken into account. This effect was included in boundary conditions on hydrodynamic
velocity. The critical Rayleigh and critical wave numbers were determined. It was shown that, in the electro-
chemical system under consideration, the critical Rayleigh number was significantly different from that for the
problem of heat transfer in a horizontal liquid layer.
DOI: 10.1134/S0036024408110241
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