Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-23T03:26:57.000Z Has data issue: false hasContentIssue false
  • English
  • Français

Low Reynolds number flow past a porous spherical shell

Published online by Cambridge University Press:  24 October 2008

I. P. Jones
I. P. Jones
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich, England
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is concerned with the flow of viscous fluids around and through porous bodies. Previous boundary conditions that have been used are discussed and a generalization of a boundary condition adopted by Beavers and Joseph, for plane boundaries, is proposed for curved surfaces. Using this condition the problem of slow viscous flow past a spherical shell is solved and several special limiting cases are considered.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 73 , Issue 1 , January 1973 , pp. 231 - 238
Copyright
Copyright © Cambridge Philosophical Society 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Darcy, H.Lea fontaines publiques de la ville de Dijon (Dalmont, Paris, 1856).Google Scholar
(2)Saffman, P. G.Stud. Appt. Math. 50 (1971), 93.CrossRefGoogle Scholar
(3)Scheidegger, A. E.The physics of flow through porous media (University of Toronto Press, 1963).Google Scholar
(4)Rappel, J. and Brenner, H.Low Reynolds number hydrodynamics (Prentice Hall, 1965).Google Scholar
(5)Philip, J. R.Annual Review of Fluid Mechanics 2 (1970), 177.CrossRefGoogle Scholar
(6)Crochet, M. J. and Naghdi, P. M.Acta Mech. 4 (1967), 315.CrossRefGoogle Scholar
(7)Crochet, M. J. J.Mécanique 8 (1969), 425.Google Scholar
(8)Fulks, W. B., Guenther, R. B. and Roetman, E. L.Acta Mech. 12 (1971), 121.CrossRefGoogle Scholar
(9)Joseph, D. D. and Tao, L. N. J.Appl. Mech., Trans. A.S.M.E. Series E, 33 (1966), 753.CrossRefGoogle Scholar
(10)Beavers, G. S. and Joseph, D. D. J.Fluid Mech. 30 (1967), 197.CrossRefGoogle Scholar
(11)Beavers, G. S., Sparrow, E. M. and Magnuson, R. A. J.Basic Engng, Trans. A.S.M.E. Series D, 92 (1970), 843.CrossRefGoogle Scholar
(12)Taylor, G. I.J. Fluid Mech. 49 (1971), 319.CrossRefGoogle Scholar
(13)Richardson, S.J. Fluid Mech. 49 (1971), 327.CrossRefGoogle Scholar