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An approximate method of determining the vorticity in the separation region as the viscosity tends to zero

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Abstract

In accordance with the Prandtl—Batchelor theorem, the vorticity in a separation region is constant in a laminar flow with vanishingly small viscosity. Batchelor proposed that the vorticity should be determined by matching the inviscid flow and the boundary layer at the edge of the separation region. An approximate method is constructed and, under a number of simplifying assumptions, used to consider a flow with a separation region in a rectangular trough.

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Literature cited

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Authors and Affiliations

  1. Moscow

    S. I. Chernyshenko

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  1. S. I. Chernyshenko
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 10–15, January–February, 1982.

I thank N. A. Slezkin and the participants of his seminar for several discussions of the work and helpful comments.

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Chernyshenko, S.I. An approximate method of determining the vorticity in the separation region as the viscosity tends to zero. Fluid Dyn 17, 7–12 (1982). https://doi.org/10.1007/BF01090691

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  • DOI: https://doi.org/10.1007/BF01090691

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