The Mathematical Institute, University of Oxford, Eprints Archive

The effect of a concentration-dependent viscosity on
particle transport in a channel flow with porous walls

Herterich, J.G. and Griffiths, I.M. and Field, R.W. and Vella, D. (2013) The effect of a concentration-dependent viscosity on
particle transport in a channel flow with porous walls.
AIChE Journal . (Submitted)

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Abstract

We analyse the transport of a dilute suspension of particles through a channel with porous walls accounting for the concentration dependence of the viscosity. Two cases of leakage flow of fluid through the porous channel walls are studied: (i) constant flux, and (ii) dependent on the pressure drop across the wall. The effect of mixing the suspension first compared with point injection is examined by considering inlet concentration distributions of different widths. We find that a pessimal distribution width exists that maximizes the required hydrodynamic pressure for a constant fluid influx. We also show that the presence of an osmotic pressure may lead to fluid being sucked into the channel. We consider how the application of an external hydrodynamic pressure affects this observation and discuss the significance of our results for water filtration.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1717
Deposited By: Peter Hudston
Deposited On:30 Jul 2013 13:16
Last Modified:29 May 2015 19:24

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