On the stability of the BEK family of rotating boundary-layer flows for power-law fluids

M.A. Abdulameer, P. T. Griffiths, B Alveroglu, Stephen Garrett

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)63-72
JournalJournal of Non-Newtonian Fluid Mechanics
Volume236
Early online date26 Aug 2016
DOIs
Publication statusPublished - Oct 2016

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