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Asymptotic analysis of nonlinear nonaxisymmetric waves on the surface of a neutral dielectric jet in a longitudinal electrostatic field

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Abstract

The problem of calculation of finite-amplitude waves on the cylindrical surface of an ideal incompressible dielectric liquid jet in a uniform electrostatic field collinear to the unperturbed jet axis is solved using a second-order asymptotic analytic procedure in ratio of the wave amplitude to the jet radius. Nonlinear corrections to the jet profile, velocity field potential, and electrostatic potentials inside and outside the jet are of resonant nature. The degenerate resonant interaction between the wave determining the initial strain and the waves excited due to nonlinearity of the hydrodynamic equations can take place for waves with different symmetries (different azimuth numbers).

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Authors and Affiliations

  1. Demidov State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    A. I. Grigor’ev, N. V. Voronina & S. O. Shiryaeva

Authors
  1. A. I. Grigor’ev
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  2. N. V. Voronina
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  3. S. O. Shiryaeva
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Correspondence to A. I. Grigor’ev.

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Original Russian Text © A.I. Grigor’ev, N.V. Voronina, S.O. Shiryaeva, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 10, pp. 22–29.

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Grigor’ev, A.I., Voronina, N.V. & Shiryaeva, S.O. Asymptotic analysis of nonlinear nonaxisymmetric waves on the surface of a neutral dielectric jet in a longitudinal electrostatic field. Tech. Phys. 55, 1411–1418 (2010). https://doi.org/10.1134/S1063784210100038

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  • DOI: https://doi.org/10.1134/S1063784210100038

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