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Laminar boundary layer on the moving surface of a rankine oval

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Abstract

A numerical investigation has been made of the laminar boundary layer that arises on the moving surface of a cylindrical body (Rankine oval with relative elongation 4) that moves with constant velocity in an incompressible fluid. The distributions of the frictional stress on the surface of the cylinder for different velocities of the wall motion are found. Numerical integration was employed to determine the work needed to overcome the frictional drag, the pressure, and also the work expended on the motion of the moving surface of the body in the case of constant velocity. In the presence of a separation region the drag forces are calculated under the assumption that in the separation region the pressure and the frictional stress on the wall are constant and equal to the corresponding values at the singular point of the solution of the boundary layer equations.

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Literature cited

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Authors and Affiliations

  1. Moscow

    V. M. Zubarev

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  1. V. M. Zubarev
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza., No. 3, pp. 171–174, May–June, 1984.

I thank G. G. Chernyi for constant interest in the work and discussing the results.

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Zubarev, V.M. Laminar boundary layer on the moving surface of a rankine oval. Fluid Dyn 19, 490–494 (1984). https://doi.org/10.1007/BF01093919

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  • DOI: https://doi.org/10.1007/BF01093919

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