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Shear instability of flows of a stratified ideal fluid of finite depth

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Abstract

A linear analysis is made of the stability of flows, stratified with respect to depth, of an ideal liquid of finite depth with a Helmholtz velocity profile. Apart from a Kelvin-Helmholtz wave, additional unstable modes are also discovered. Analytical expressions are obtained for the neutral curve of these modes. Their nature is discussed.

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Authors and Affiliations

  1. Vladivostok

    V. I. Goland

Authors
  1. V. I. Goland
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 176–179, November–December, 1988.

The author is grateful to V. I. Klyatskin and L. Ya. Lyubavin for their interest in the study and for fruitful discussions.

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Goland, V.I. Shear instability of flows of a stratified ideal fluid of finite depth. Fluid Dyn 23, 948–952 (1988). https://doi.org/10.1007/BF01051836

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  • DOI: https://doi.org/10.1007/BF01051836

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