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Fluid flow in fields of resistance

Published online by Cambridge University Press:  17 April 2009

J.R. Blake
J.R. Blake
Affiliation:
CSIRO, Division of Mathematics and Statistics, Canberra, ACT.
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Abstract

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The velocity profiles in volumes of either passive resistance or active transport are calculated for both linear and non-linear resistive models. These include fluid flows containing particles in a channel or pipe subject to either a steady or oscillatory pressure gradient, cilia induced transport, and laminar flow in a non-linear resistive shear layer. Resistive elements tend to substantially reduce the inertial phase lag component in oscillatory flows. Only small concentrations of particles are needed to reduce the flow field to the Darcy approximation. An ‘active porous media’ model for a cilia sublayer predicts accurate voleoity profiles for dense concentrations of cilia (for example, on Opaline, and in the lung).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 13 , Issue 1 , August 1975 , pp. 129 - 145
Copyright
Copyright © Australian Mathematical Society 1975

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