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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.
|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.|
|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 http://creativecommons.org/licenses/by-nc-nd/4.0/|
|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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|Griffiths, P. T., Garrett, S. J. & Stephen, S. O. (2014) The neutral curve for stationary disturbances in rotating disk flow for power-law fluids.pdf||Post-review (final submitted)||1.05 MB||Adobe PDF||View/Open|
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