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Integral-equation solution of potential flow past a porous body of arbitrary shape

Published online by Cambridge University Press:  20 April 2006

Henry Power ,
Guillermo Miranda  and
Vianey Villamizar
Henry Power
Affiliation:
Instituto de Mecánica de Fluidos, Universidad Central de Venezuela
Guillermo Miranda
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela
Vianey Villamizar
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad Central de Venezuela
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Abstract

Potential flow past a porous body of arbitrary shape with constant physical permeability k0, as well as the flow in the corresponding porous medium, are analysed by means of a pair of linear Fredholm integral equations of the second kind. As an example for verification of the proposed general method, the case of a two-dimensional porous circular cylinder is worked out in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 149 , December 1984 , pp. 59 - 69
Copyright
© 1984 Cambridge University Press

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References

Chow, S. K., How, A. Y. & Landweber, L. 1976 Hydrodynamic forces and moments acting on a body emerging from an infinite plane. Phys. Fluids 19, 1439–1449.Google Scholar
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Swarztrauber, P. N. 1972 On the numerical solution of the Dirichlet problem for a region of general shape. SIAM J. Numer. Anal. 9, 300–306.Google Scholar