Griffiths, P. T., Stephen, S. O., Bassom, A. P. & Garrett, S. J. (2014) Stability of the boundary layer on a rotating disk for power-law fluids.pdf (649.63 kB)
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Stability of the boundary layer on a rotating disk for power-law fluids

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journal contribution
posted on 03.03.2016, 11:51 by P. T. Griffiths, S. O. Stephen, A. P. Bassom, Stephen John Garrett
The stability of the flow due to a rotating disk is considered for non-Newtonian fluids, specifically shear-thinning fluids that satisfy the power-law (Ostwald-de Waele) relationship. In this case the basic flow is not an exact solution of the Navier–Stokes equations, however, in the limit of large Reynolds number the flow inside the three-dimensional boundary layer can be determined via a similarity solution. An asymptotic analysis is presented in the limit of large Reynolds number. It is shown that the stationary spiral instabilities observed experimentally in the Newtonian case can be described for shear-thinning fluids by a linear stability analysis. Predictions for the wavenumber and wave angle of the disturbances suggest that shear-thinning fluids may have a stabilising effect on the flow.

History

Citation

Journal Of Non-newtonian Fluid Mechanics, 2014, 207, pp. 1-6 (6)

Author affiliation

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

Version

VoR (Version of Record)

Published in

Journal Of Non-newtonian Fluid Mechanics

Publisher

Elsevier

issn

0377-0257

Acceptance date

24/02/2014

Copyright date

2014

Available date

03/03/2016

Publisher version

http://www.sciencedirect.com/science/article/pii/S0377025714000317

Language

en