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

journal contribution
posted on 2023-05-18, 15:44 authored by Griffiths, PT, Stephen, SO, Andrew BassomAndrew Bassom, Garrett, SJ
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

Publication title

Journal of Non-Newtonian Fluid Mechanics

Volume

207

Pagination

1-6

ISSN

0377-0257

Department/School

School of Natural Sciences

Publisher

Elsevier Science Bv

Place of publication

Po Box 211, Amsterdam, Netherlands, 1000 Ae

Rights statement

Copyright 2014 Elsevier B.V.

Repository Status

  • Restricted

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Expanding knowledge in the mathematical sciences

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