J Austral Math Soc Ser B 33 pp430--450, 1992.

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

P. Broadbridge and P. J. Banks

Abstract

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.

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Authors

P. Broadbridge

Department of Mathematics, La Trobe University, Bundoora, Vic. 3083, Australia.

Present address:

Department of Mathematics, University of Wollongong, Wollongong, NSW 2500, Australia.

P. J. Banks

CSIRO Div. of Building, Construction and Eng., P.O. Box 56, Highett, Vic. 3190, Australia.