Wave number selection in a nonequilibrium electro-osmotic instability.


Nonequilibrium electro-osmotic slip causes instability of quiescent ionic conductance through a diffusion layer of a strong electrolyte at a charge selective solid such as ion-exchange membrane or electrode. This instability, as inferred from the outer asymptotic limit of the full singularly perturbed ionic transport problem, is of the short-wave type. This latter is a serious shortcoming of the limiting model. In this Brief Report we show that inclusion in the model of the first asymptotic corrections yields a reasonable finite wavelength selection.

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@article{Rubinstein2003WaveNS, title={Wave number selection in a nonequilibrium electro-osmotic instability.}, author={Isaak Rubinstein and Boris Zaltzman}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2003}, volume={68 3 Pt 1}, pages={032501} }