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Stability of the boundary layer on a rotating disk for power-law fluids

Citation

Griffiths, PT and Stephen, SO and Bassom, AP and Garrett, SJ, Stability of the boundary layer on a rotating disk for power-law fluids, Journal of Non-Newtonian Fluid Mechanics, 207 pp. 1-6. ISSN 0377-0257 (2014) [Refereed Article]

Copyright Statement

Copyright 2014 Elsevier B.V.

DOI: doi:10.1016/j.jnnfm.2014.02.004

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.

Item Details

Item Type:Refereed Article
Keywords:instability, rotating disk flow, power-law fluid, crossflow vortices
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105695
Year Published:2014
Web of Science® Times Cited:9
Deposited By:Mathematics and Physics
Deposited On:2016-01-13
Last Modified:2017-11-01
Downloads:0

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