Non-Newtonian channel flow—exact solutions


In this short communication, exact solutions are obtained for a range of non-Newtonian flows between stationary parallel plates. The pressure-driven flow of fluids with a variational viscosity that adheres to the Carreau governing relationship are considered. Solutions are obtained for both shear-thinning (viscosity decreasing with increasing shear-rate) and shear-thickening (viscosity increasing with increasing shear-rate) flows. A discussion is presented regarding the requirements for such analytical solutions to exist. The dependence of the flow rate on the channel half width and the governing non-Newtonian parameters is also considered.

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Divisions: College of Engineering & Physical Sciences
Additional Information: © The Author(s) 2020. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. This is a pre-copyedited, author-produced version of an article accepted for publication in IMA Journal of Applied Mathematics following peer review. The version of record Griffiths, P 2020, 'Non-Newtonian channel flow—exact solutions', IMA Journal of Applied Mathematics, vol. 85, no. 2, 005, pp. available online at:
Publication ISSN: 1464-3634
Last Modified: 29 Nov 2023 13:23
Date Deposited: 28 Sep 2022 09:45
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Related URLs: https://academi ... 9065?login=true (Publisher URL)
PURE Output Type: Article
Published Date: 2020-04-26
Published Online Date: 2020-03-17
Accepted Date: 2020-02-01
Authors: Griffiths, Paul



Version: Accepted Version

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