Abstract
An analytical solution to the problem of evolution of a capillary-gravitational wave on the uniformly charged interface between viscous immiscible liquids is found. It is shown that, away from the interface, both the total liquid flows and their wave-related eddy components on both sides of the interface decrease rapidly. The amplitude of the velocity field curl changes stepwise in going through the interface. The ratio between the amplitudes of the velocity field eddy components in the media being considered depends on the charge density at the interface, ratio of the kinematic viscosities, and densities of the upper and lower liquids.
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Original Russian Text © A.I. Grigor’ev, D.M. Pozharitskii, S.O. Shiryaeva, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 9, pp. 26–32.
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Grigor’ev, A.I., Pozharitskii, D.M. & Shiryaeva, S.O. On the structure of the velocity field due to wave motion at a uniformly charged interface between two viscous immiscible liquids. Tech. Phys. 54, 1269–1275 (2009). https://doi.org/10.1134/S1063784209090047
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DOI: https://doi.org/10.1134/S1063784209090047