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On axisymmetric stokes flow past a torus

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Abstract

A method is presented for determining the exact solution of the Stokes equation for axisymmetric streaming flow past a torus. By solving directly for the velocity and pressure fields rather than introducing a stream function, the problem is reduced to the solution of a second order difference equation for a coefficient sequence. The force acting on the torus is evaluated for a number of values of the parameter defining the torus geometry.

Zusammenfassung

In dieser Arbeit wird eine Methode entwickelt um die exakte Lösung der Stokes' schen Gleichung für einen axisymmetrischen Fluss um einen Torus zu erhalten. Indem man direkt Geschwindgkeits- und Druckverteilung ausrechnet (statt eine Stromfunktion einzuführen) wird das Problem auf die Lösung einer Differenzengleichung zweiter Ordnung für eine Folge von Koeffizienten reduziert. Die am Torus wirksame Kraft wird dann für mehrere Parameterwerte der Torusgeometrie bestimmt.

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Authors and Affiliations

  1. Dept of Mathematics, University of Calgary, Calgary, Alberta, Canada

    S. R. Majumdar

  2. Dept of Mathematics, University College London, London, England

    M. E. O'Neill

Authors
  1. S. R. Majumdar
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  2. M. E. O'Neill
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Majumdar, S.R., O'Neill, M.E. On axisymmetric stokes flow past a torus. Journal of Applied Mathematics and Physics (ZAMP) 28, 541–550 (1977). https://doi.org/10.1007/BF01601334

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  • DOI: https://doi.org/10.1007/BF01601334

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