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On the Interaction of Azimuthal Modes of Capillary Waves on the Surface of an Elliptic Jet in a Homogeneous Electrostatic Field

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Abstract

A study was made of the interaction of the first azimuthal modes of capillary waves on the surface of an elliptic jet in a homogeneous electrostatic field that is perpendicular to the axis of the jet. The interaction is nonlinear in the product of two independent small parameters. The interaction arises due to the ellipticity of the perpendicular cross-section of the jet and involves three azimuthal modes: either even or odd. The stability of the jet in the perpendicular homogeneous electrostatic field is lower than that of a jet in a radial electrostatic field. The characteristic destabilization time decreases with increasing initial amplitudes of the interacting modes and intensity of the external electrostatic field, and also depends on the wavenumber.

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Authors and Affiliations

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

    S. O. Shiryaeva & A. I. Grigor’ev

Authors
  1. S. O. Shiryaeva
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  2. A. I. Grigor’ev
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Correspondence to S. O. Shiryaeva or A. I. Grigor’ev.

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Translated by M. Baznat

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Shiryaeva, S.O., Grigor’ev, A.I. On the Interaction of Azimuthal Modes of Capillary Waves on the Surface of an Elliptic Jet in a Homogeneous Electrostatic Field. Surf. Engin. Appl.Electrochem. 59, 443–451 (2023). https://doi.org/10.3103/S1068375523040130

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  • DOI: https://doi.org/10.3103/S1068375523040130

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