TY - JOUR
T1 - On the stability of the BEK family of rotating boundary-layer flows for power-law fluids
AU - Abdulameer, M. A.
AU - Griffiths, Paul T.
AU - Alveroğlu, B.
AU - Garrett, S. J.
PY - 2016/10
Y1 - 2016/10
N2 - 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.
AB - 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.
UR - https://www.sciencedirect.com/science/article/abs/pii/S0377025716301586?via%3Dihub
U2 - 10.1016/j.jnnfm.2016.08.006
DO - 10.1016/j.jnnfm.2016.08.006
M3 - Article
VL - 236
SP - 63
EP - 72
JO - Journal of Non-Newtonian Fluid Mechanics
JF - Journal of Non-Newtonian Fluid Mechanics
ER -