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Radial flow through deformable porous shells

Published online by Cambridge University Press:  17 February 2009

S. I. Barry and
G. K. Aldis
S. I. Barry
Affiliation:
Mathematics Department, University College, University of New South Wales, Australian Defence Force Academy, Canberra, A.C.T 2600, Australia.
G. K. Aldis
Affiliation:
Mathematics Department, University College, University of New South Wales, Australian Defence Force Academy, Canberra, A.C.T 2600, Australia.
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Abstract

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The problem of radially directed fluid flow through a deformable porous shell is considered. General nonlinear diffusion equations are developed for spherical, cylindrical and planar geometries. Solutions for steady flow are found in terms of an exact integral and perturbation solutions are also developed. For unsteady flow, perturbation methods are used to find approximate small-time solutions and a solution valid for slow compression rates. These solutions are used to investigate the deformation of the porous material with comparisons made between the planar and the cylindrical geometries.

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 3 , January 1993, pp. 333 - 354
Copyright
Copyright © Australian Mathematical Society 1993

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