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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.
Garrett, Stephen J.
|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.|
|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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