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Asymptotic theory of nonstationary separation

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Abstract

Nonstationary separation of a laminar boundary layer in a incompressible fluid is studied on the basis of asymptotic analysis of the Navier-Stokes equations at large Reynolds numbers. The case when the point of separation moves upstream is considered. It is shown that under certain restrictions on the acceleration with which the motion of the point of separation occurs the local solution depends on the time as on a parameter. As in the stationary case, the separation occurs spontaneously under the influence of the large local pressure gradient. An important difference is however that the mechanism of nonstationary separation is “inviscid”.

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Authors and Affiliations

  1. Moscow

    V. V. Sychev

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  1. V. V. Sychev
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 21–32, November–December, 1979.

I thank A. I. Ruban for great interest and assistance in the work, and also O. S. Ryzhov for a number of helpful comments.

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Sychev, V.V. Asymptotic theory of nonstationary separation. Fluid Dyn 14, 829–838 (1979). https://doi.org/10.1007/BF01051983

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  • DOI: https://doi.org/10.1007/BF01051983

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