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 (1.02 MB)
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The neutral curve for stationary disturbances in rotating disk flow for power-law fluids

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journal contribution
posted on 07.03.2016, 11:32 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.

History

Citation

Journal Of Non-Newtonian Fluid Mechanics, 2014, 213, pp. 73-81 (9)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Engineering

Version

AM (Accepted Manuscript)

Published in

Journal Of Non-Newtonian Fluid Mechanics

Publisher

Elsevier

issn

0377-0257

Acceptance date

17/09/2014

Copyright date

2014

Available date

28/09/2016

Publisher version

http://www.sciencedirect.com/science/article/pii/S0377025714001694

Notes

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.

Language

en