Abstract
In solving the problem on the propagation of small-amplitude waves on a charged horizontal interface between two liquids, in the dispersion determinant derived, a term that is nonlinear with respect to the wave frequency combination and the velocity ratio between the upper and lower liquids has been obtained. The structure and the physical meaning of the equation obtained have been discussed. The notion of effective surface tension has been introduced.
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References
D. F. Belonozhko, Nonlinear Motions of a Charged Surface of a Liquid, Doctoral Dissertation (in Physics and Mathematics), Yaroslavl’ (2004).
P. N. Antonyuk, Dispersion equations for a plane capillary-gravitational wave on the free surface of a viscous incompressible liquid, Dokl. Akad. Nauk SSSR, 286, No. 6, 1324–1328 (1986).
I. N. Aliev and A. V. Filippov, On waves propagating on the plane surface of a viscous conducting liquid in an electric field, Magn. Gidrodin., No. 4, 94–98 (1989).
I. N. Aliev and A. R. Mil’vidskii, Deformation of the surface of a conducting liquid under the action of a strong field pulse, Inzh.-Fiz. Zh., 77, No. 1, 133–134 (2004).
I. N. Aliev, A. R. Mil’vidskii, and I. A. Naumov, Capillary waves on the surface of a thin layer of a charged conducting liquid, Inzh.-Fiz. Zh., 75, No. 5, 86–87 (2002).
L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Fizmatlit, Moscow (2003).
L. D. Landau and E. M. Lifshits, Hydrodynamics [in Russian], Fizmatlit, Moscow (2003).
V. G. Levich, Physicochemical Hydrodynamics [in Russian], Fizmatgiz, Moscow (1959).
I. N. Aliev, Perturbations and Instabilities of the Surface of a Conducting Medium in an Electric Field, Doctoral Dissertation (in Physics and Mathematics), Moscow (1996).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 5, pp. 64–69, September–October, 2007.
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Aliev, I.N., Yurchenko, S.O. & Nazarova, E.V. Features of combined instability of a charged interface between moving media. J Eng Phys Thermophy 80, 912–917 (2007). https://doi.org/10.1007/s10891-007-0122-9
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DOI: https://doi.org/10.1007/s10891-007-0122-9