On the possibility of initiating a corona discharge at the crests of nonlinear waves on the surface of a charged thin layer of a viscous conducting liquid |
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Authors: | A. V. Klimov and A. I. Grigor’ev |
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Affiliation: | (1) Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, IL, USA;(2) Grinnell College, Grinnell, IA, USA; |
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Abstract: | An analytic expression for the electrostatic field strength at the free surface of a thin layer of a uniformly charged viscous incompressible liquid is obtained in second-order asymptotic calculations in the amplitude of a periodic capillary-gravity wave propagating over the liquid surface. It is shown that a corona discharge at the crests of the waves can be initiated at subcritical values of the field strength (in the sense of possible realization of the Tonks-Frenkel instability). The electrostatic field strength at the crests of nonlinear waves increases with the wavenumber and the wave amplitude. |
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