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Title: On the stability of the BEK family of rotating boundary-layer flows for power-law fluids
Authors: Abdulameer, M. A.
Griffiths, P. T.
Alveroğlu, B.
Garrett, Stephen J.
First Published: 26-Aug-2016
Publisher: Elsevier
Citation: Journal of Non-Newtonian Fluid Mechanics, 2016, 236, pp. 63-72
Abstract: We consider the convective instability of the BEK family of rotating boundary-layer flows for shear-thinning power-law fluids. The Bödewadt, Ekman and von Kármán flows are particular cases within this family. A linear stability analysis is conducted using a Chebyshev polynomial method in order to investigate the effect of shear-thinning fluids on the convective type I (inviscid crossflow) and type II (viscous streamline curvature) modes of instability. The results reveal that an increase in shear-thinning has a universal stabilising effect across the entire BEK family. Our results are presented in terms of neutral curves, growth rates and an analysis of the energy balance. The newly-derived governing equations for both the steady mean flow and unsteady perturbation equations are given in full.
DOI Link: 10.1016/j.jnnfm.2016.08.006
ISSN: 0377-0257
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2016, Elsevier. Deposited with reference to the publisher’s open access archiving policy.
Description: The file associated with this record is under a 24 month embargo from publication in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Mathematics

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