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Analytical asymptotic solution of the problem of the nonlinear oscillations of a thick charged jet of viscous fluid

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Abstract

On the basis of second-order analytical asymptotic calculations the problem of the nonlinear oscillation of a uniformly charged jet of an electrically conductive viscous fluid is solved with account for the radial fluid velocity distribution in the jet. It is found that energy from the initially excited wave is gradually transmitted to a wave with double the wave number excited due to nonlinear interaction in the viscous jet, whereas in an ideal fluid the nonlinear correction amplitude is formed instantaneously at the initial instant.

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Authors
  1. S. O. Shiryaeva
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Original Russian Text © S.O. Shiryaeva, 2008, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2008, Vol. 43, No. 5, pp. 14–29.

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Shiryaeva, S.O. Analytical asymptotic solution of the problem of the nonlinear oscillations of a thick charged jet of viscous fluid. Fluid Dyn 43, 685–697 (2008). https://doi.org/10.1134/S0015462808050025

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  • DOI: https://doi.org/10.1134/S0015462808050025

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