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

P. T. Griffiths, S. O. Stephen, A. P. Bassom, S. J. Garrett

Research output: Contribution to journalArticle

18 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1-6
Number of pages7
JournalJournal of Non-Newtonian Fluid Mechanics
Volume207
Early online date13 Mar 2014
DOIs
Publication statusPublished - May 2014
Externally publishedYes

Keywords

  • Crossflow vortices
  • Instability
  • Power-law fluid
  • Rotating disk flow

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

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