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Title: The neutral curve for stationary disturbances in rotating disk flow for power-law fluids
Authors: Griffiths, P. T.
Garrett, Stephen John
Stephen, S. O.
First Published: 28-Sep-2014
Publisher: Elsevier
Citation: Journal Of Non-Newtonian Fluid Mechanics, 2014, 213, pp. 73-81 (9)
Abstract: 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.
DOI Link: 10.1016/j.jnnfm.2014.09.009
ISSN: 0377-0257
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2014 Elsevier B.V. All rights reserved. This manuscript version is made available after the end of the embargo period under the CC-BY-NC-ND 4.0 license 
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
Published Articles, Dept. of Engineering

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