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Plane problem of uniform flow of a two-layer fluid past a circular cylinder

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Abstract

An explicit solution is found for the problem of uniform horizontal flow of a two-layer fluid of infinite depth past a circular cylinder. The cylinder axis is perpendicular to the flow. The problem is solved within a linear formulation. The solution of the problem is expressed in the form of rapidly converging series with coefficients determined from a recurrence relation. The first seven terms of the series yield the values of the hydrodynamic loads with a relative accuracy of 10−6. The results are in good agreement with the known values for similar problems in a homogeneous fluid. Tables of the lift and wave drag are given for homogeneous and two-layer fluids.

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Authors
  1. T. I. Khabakhpasheva
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Additional information

Novosibirsk. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 91–97, January–February, 1996.

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Khabakhpasheva, T.I. Plane problem of uniform flow of a two-layer fluid past a circular cylinder. Fluid Dyn 31, 77–82 (1996). https://doi.org/10.1007/BF02230750

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  • DOI: https://doi.org/10.1007/BF02230750

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