Griffiths, Paul (2020). Non-Newtonian channel flow—exact solutions. IMA Journal of Applied Mathematics, 85 (2), pp. 263-279.
Abstract
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.
| Publication DOI: | https://doi.org/10.1093/imamat/hxaa005 |
|---|---|
| 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. 263-279.is available online at: https://dx.doi.org/10.1093/imamat/hxaa005 |
| Uncontrolled Keywords: | Non-Newtonian,Exact Solutions,Plane Poiseuille Flow |
| Publication ISSN: | 1464-3634 |
| Last Modified: | 09 Dec 2024 08:49 |
| Date Deposited: | 28 Sep 2022 09:45 |
| Full Text Link: | |
| 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
(
0000-0002-2078-0118)
|
CORE (COnnecting REpositories)
CORE (COnnecting REpositories)