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On Plane Potential Flow Past a Porous Circular Cylinder

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Problems and Methods in Mathematical Physics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 121))

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Abstract

A mathematical model for the plane potential flow of an inviscid incompressible fluid around and through a circular cylinder of porous material is presented. The flow inside the cylinder obeys Darcy’s law. The flow problem is reduced to a nonlinear boundary value problem of Poincaré type and this one in turn to a nonlinear infinite sytem of algebraic equations and a related nonlinear integral equation.

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References

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Authors and Affiliations

  1. Lothar von Wolfersdorf, Fakultät für Mathematik und Informatik, TU Bergakademie Freiberg, D 09596, Freiberg, Germany

    Lothar Von Wolfersdorf

Authors
  1. Lothar Von Wolfersdorf
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Editors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, 10117, Berlin, Germany

    Johannes Elschner

  2. Department of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel

    I. Gohberg

  3. Faculty of Mathematics, Technical University of Chemnitz, 09107, Chemnitz, Germany

    Bernd Silbermann

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© 2001 Springer Basel AG

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Von Wolfersdorf, L. (2001). On Plane Potential Flow Past a Porous Circular Cylinder. In: Elschner, J., Gohberg, I., Silbermann, B. (eds) Problems and Methods in Mathematical Physics. Operator Theory: Advances and Applications, vol 121. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8276-7_27

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  • DOI: https://doi.org/10.1007/978-3-0348-8276-7_27

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9500-2

  • Online ISBN: 978-3-0348-8276-7

  • eBook Packages: Springer Book Archive

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