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Exact nonlinear solution for constant-rate expression from material of finite thickness

Published online by Cambridge University Press:  17 February 2009

P. Broadbridge  and
P. J. Banksa
P. Broadbridge
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Vic. 3083, Australia. Present address: Department of Mathematics, University of Wollongong, Wollongong, NSW 2500, Australia.
P. J. Banksa
Affiliation:
CSIRO Div. of Building, Construction and Eng., P.O. Box 56, Highett, Vic. 3190, Australia.
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Abstract

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We present new exact solutions for the flow of liquid during constant-rate expression from a finite thickness of liquid-saturated porous material with nonlinear properties. By varying a single nonlinearity parameter and a dimensionless expression rate, we systematically investigate the effect of nonlinearity and of an impermeable barrier (e.g. a piston). We illustrate the water profile shape and the water ratio deficit at the expression surface (e.g. a filter membrane) as a function of time.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 4 , April 1992 , pp. 430 - 450
Copyright
Copyright © Australian Mathematical Society 1992

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