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arXiv · 1402.2889

Three-dimensional Coherent Structures of Electrokinetic Instability

E. A. Demekhin·N. V. Nikitin·V. S. Shelistov
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Abstract

A direct numerical simulation of the three-dimensional elektrokinetic instability near a charge selective surface (electric membrane, electrode, or system of micro-/nanochannels) is carried out and analyzed. A special finite-difference method was used for the space discretization along with a semi-implicit $3\frac{1}{3}$-step Runge-Kutta scheme for the integration in time. The calculations employed parallel computing. Three characteristic patterns, which correspond to the overlimiting currents, are observed: (a) two-dimensional electroconvective rolls, (b) three-dimensional regular hexagonal structures, and (c) three-dimensional structures of spatiotemporal chaos, which are a combination of unsteady hexagons, quadrangles and triangles. The transition from (b) to (c) is accompanied by the generation of interacting two-dimensional solitary pulses.

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E. A. Demekhin, N. V. Nikitin, V. S. Shelistov. 2014-02-12. Three-dimensional Coherent Structures of Electrokinetic Instability. https://doi.org/10.1103/physreve.90.013031

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