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The Stokes drag for asymmetric flow past a spherical cap

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Abstract

The non symmetric stokes flow past a spherical cap is solved by the method of complementary integral representations. In particular, the drag and couple are evaluated for the hemispherical cup.

Zusammenfassung

Die nicht-symmetrische Stokes-Strömung um eine Kugelhaube wird bestimmt mit Hilfe der Methode der komplementären Integraldarstellungen. Für den besonderen Fall einer Halbkugel-Haube wird der Widerstand und das Moment bestimmt.

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References

  1. L.E. Payne andW.H. Pell, J. Fluid Mech.,7, 529 (1960).

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  2. W.D. Collins, Mathematika,10, 72 (1963).

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  3. H. Lamb, Hydrodynamics, 6th ed., Dover Publ. New York, p. 604.

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Authors and Affiliations

  1. Dept. of Mathematics, University of Toronto, Toronto, Canada

    Keith B. Ranger

Authors
  1. Keith B. Ranger
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Ranger, K.B. The Stokes drag for asymmetric flow past a spherical cap. Journal of Applied Mathematics and Physics (ZAMP) 24, 801–809 (1973). https://doi.org/10.1007/BF01590790

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  • DOI: https://doi.org/10.1007/BF01590790

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