Abstract
A study is made of infinitely small perturbations of a moving plane-parallel layer. It is shown that, in distinction from an isolated tangential discontinuity, a layer is unstable with any given values of the projection of the velocity of the layer on the wave vector of the perturbation. The instability of an isolated tangential discontinuity has been repeatedly investigated in detail (see, for example, [1–4]). The instability of a moving layer has remained almost unanalyzed. It is of importance to make such an analysis, the more so since the results for a layer differ qualitatively from the results for an isolated tangential discontinuity.
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Literature Cited
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Additional information
Moscow. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 11–14, May–June, 1972.
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Kikina, N.G., Sannikov, D.G. Instability of a moving plane-parallel layer. Fluid Dyn 7, 376–379 (1972). https://doi.org/10.1007/BF01209040
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DOI: https://doi.org/10.1007/BF01209040