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Asymptotic Analysis of Nonlinear Resonanсe Interaction between Capillary Waves with Arbitrary Symmetry on a Moving Charged Jet at Multimode Initial Deformation

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Abstract—

The study of a nonlinear resonance between the capillary waves on the surface of a moving charged jet relative to the material medium at a multimode initial deformation is considered. In analytical asymptotic calculations of the second order of smallness according to dimensionless amplitude of oscillations, it is shown that realization of internal nonlinear resonant interaction of capillary waves of arbitrary symmetry takes place on the jet surface both of degenerate and secondary combinational. The resonances positions depend on the system’s physical parameters: the values of surface tension coefficients and the radial electric field intensity near the jet surface, the velocity of its motion with respect to the material medium, the values of the waves and azimuthal numbers of the interacting waves, spectrum of the waves that define the initial deformation.

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  1. Demidov Yaroslavl State University, 150000, Yaroslavl, Russia

    S. O. Shiryaeva

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  1. S. O. Shiryaeva
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Correspondence to S. O. Shiryaeva.

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Translated by M. Baznat

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Shiryaeva, S.O. Asymptotic Analysis of Nonlinear Resonanсe Interaction between Capillary Waves with Arbitrary Symmetry on a Moving Charged Jet at Multimode Initial Deformation. Surf. Engin. Appl.Electrochem. 58, 147–157 (2022). https://doi.org/10.3103/S1068375522020119

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