On pressure-driven flow through a gel-filled channel

Abstract eng:
In this paper, we consider the problem of pressure-driven fluid flow through a gel-filled channel. This subject, which is relevant to many areas, has been addressed by several authors. Our interest here is to investigate how the network elastic response affects the solvent flow profile under steady-state conditions. We show that there is a class of elastic materials for which the flow profile is not affected by the applied pressure gradient. This class includes both neo-Hookean and Mooney materials but excludes Gent materials.

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