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)
Stability of the boundary layer on a rotating disk for power-law fluids
journal contribution
posted on 2016-03-03, 11:51 authored by P. T. Griffiths, S. O. Stephen, A. P. Bassom, Stephen John GarrettThe 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 EngineeringVersion
- VoR (Version of Record)
Published in
Journal Of Non-newtonian Fluid MechanicsPublisher
Elsevierissn
0377-0257Acceptance date
2014-02-24Copyright date
2014Available date
2016-03-03Publisher DOI
Publisher version
http://www.sciencedirect.com/science/article/pii/S0377025714000317Language
enAdministrator link
Usage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC