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On mass flux through a torus in Stokes flow

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Abstract

The symmetrical flow of a viscous fluid past a torus is considered with particular reference to the mass flux through the central hole. Asymptotic expressions are obtained when the hole is small and when it is relatively large, and are compared with the results of a numerical computation.

Zusammenfassung

Es wird die symmetrische Strömung eines zähen Fluids um einen Torus betrachtet, mit besonderer Berücksichtigung der Frage des Massenstromes durch das zentrale Loch. Asymptotische Ausdrücke werden für relativ kleine und große Öffnungen erhalten; die Ergebnisse werden mit numerischen Resultaten verglichen.

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Authors and Affiliations

  1. Dept. of Mathematics, University College London WCIE 6BT, Great Britain

    K. Stewartson

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  1. K. Stewartson
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Stewartson, K. On mass flux through a torus in Stokes flow. Z. angew. Math. Phys. 34, 567–574 (1983). https://doi.org/10.1007/BF00944719

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  • DOI: https://doi.org/10.1007/BF00944719

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