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Investigation of the Electroconvective Flow of a Weakly Conducting Liquid with Unipolar Injection Conductivity by the Finite-Element Method

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Abstract

The electroconvective flow of a weakly conducting liquid dielectric in a plane-parallel electrode system is investigated by the finite-element method of Galerkin in the vicinity of the crisis of equilibrium-stability loss. The threshold value of the strength of a homogeneous electric field (corresponding to the occurrence of stationary two-dimensional spatially periodic flow structures) is determined. The empirical relation for the extremum of the current function in the vicinity of the crisis is obtained. The distribution of the volume density of charges over the interelectrode gap in the ascending and descending convective flows is found.

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Authors and Affiliations

  1. N. G. Chernyshevskii Saratov State University, Saratov, Russia

    I. A. Ermolaev & A. I. Zhbanov

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  1. I. A. Ermolaev
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  2. A. I. Zhbanov
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Ermolaev, I.A., Zhbanov, A.I. Investigation of the Electroconvective Flow of a Weakly Conducting Liquid with Unipolar Injection Conductivity by the Finite-Element Method. Journal of Engineering Physics and Thermophysics 75, 1125–1129 (2002). https://doi.org/10.1023/A:1021115608171

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  • DOI: https://doi.org/10.1023/A:1021115608171

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