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Title: Stability of the boundary layer on a rotating disk for power-law fluids
Authors: Griffiths, P. T.
Stephen, S. O.
Bassom, A. P.
Garrett, Stephen John
First Published: 13-Mar-2014
Publisher: Elsevier
Citation: Journal Of Non-newtonian Fluid Mechanics, 2014, 207, pp. 1-6 (6)
Abstract: 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.
DOI Link: 10.1016/j.jnnfm.2014.02.004
ISSN: 0377-0257
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2014 Elsevier B.V. Under a Creative Commons license ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Appears in Collections:Published Articles, Dept. of Mathematics
Published Articles, Dept. of Engineering

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