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.
Original language | English |
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Article number | 005 |
Pages (from-to) | 263-279 |
Number of pages | 17 |
Journal | IMA Journal of Applied Mathematics |
Volume | 85 |
Issue number | 2 |
Early online date | 18 Mar 2020 |
DOIs | |
Publication status | Published - 26 Apr 2020 |
Keywords
- exact solutions
- non-Newtonian
- plane Poiseuille flow
ASJC Scopus subject areas
- Applied Mathematics