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Bifurcation of stationary solutions of the system of equations of electrohydrodynamics for unipolar injection

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Abstract

The bifurcation of the supercritical electroconvection regimes of a weakly conducting fluid in a cylindrical space is considered. Variants of the problem corresponding to a weak disturbance of the equilibrium conditions are investigated in detail. The electrohydrodynamic stability and supercritical electroconvection regimes were investigated for a plane horizontal layer and a closed rectangular region in [1, 2]. Similar bifurcation problems arising in connection with the description of thermal convection in closed spaces were solved, for example, in [3–5].

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References

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Authors
  1. E. L. Tarunin
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  2. Yu. A. Yamshinina
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Perm'. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 23–29, May–June, 1994.

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Tarunin, E.L., Yamshinina, Y.A. Bifurcation of stationary solutions of the system of equations of electrohydrodynamics for unipolar injection. Fluid Dyn 29, 319–324 (1994). https://doi.org/10.1007/BF02230763

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  • DOI: https://doi.org/10.1007/BF02230763

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