The neutral curve for stationary disturbances in rotating disk flow for power-law fluids
journal contributionposted on 2016-03-07, 11:32 authored by P. T. Griffiths, Stephen John Garrett, S. O. Stephen
This paper is concerned with the convective instabilities associated with the boundary-layer flow due to a rotating disk. Shear-thinning fluids that adhere to the power-law relationship are considered. The neutral curves are computed using a sixth-order system of linear stability equations which include the effects of streamline curvature, Coriolis force and the non-Newtonian viscosity model. Akin to previous Newtonian studies it is found that the neutral curves have two critical values, these are associated with the type I upper-branch (cross-flow) and type II lower-branch (streamline curvature) modes. Our results indicate that an increase in shear-thinning has a stabilising effect on both the type I and II modes, in terms of the critical Reynolds number and growth rate. Favourable agreement is obtained between existing asymptotic predictions and the numerical results presented here.
CitationJournal Of Non-Newtonian Fluid Mechanics, 2014, 213, pp. 73-81 (9)
Author affiliation/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Engineering
- AM (Accepted Manuscript)