eCite Digital Repository
Görtler vortices in the Rayleigh layer on an impulsively started cylinder
Citation
MacKerrell, SO and Bassom, A, Gortler vortices in the Rayleigh layer on an impulsively started cylinder, Physics of Fluids, 14, (9) pp. 2948-2956. ISSN 1070-6631 (2002) [Refereed Article]
![]() | PDF 107Kb |
Copyright Statement
Copyright 2002 American Institute of Physics
Abstract
Centripetal instabilities in two flows involving time-dependent Rayleigh layers on a rotating circular cylinder are examined. In one case we consider the stability of the flow induced in an infinite expanse of quiescent fluid when the cylinder is impulsively given a constant angular velocity; in the other problem the angular velocity increases as the square root of time so that the undisturbed flow has a constant wall shear. For both situations linear neutral stability curves for vortex motions are calculated by quasi-steady (or frozen-time) methods, with these results justified, where possible, by Wentzel-Kramers-Brillouin techniques. The topology of the neutral curve for the ramped angular velocity configuration allows a rigorous description of small wavelength, weakly and fully nonlinear vortex structures to be obtained. Our results are compared with the equivalent cases that arise in the study of unsteady thermal Rayleigh layers induced by the sudden heating of a horizontal flat plate.
Item Details
Item Type: | Refereed Article |
---|---|
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 |
UTAS Author: | Bassom, A (Professor Andrew Bassom) |
ID Code: | 107386 |
Year Published: | 2002 |
Web of Science® Times Cited: | 8 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2016-03-11 |
Last Modified: | 2016-08-11 |
Downloads: | 141 View Download Statistics |
Repository Staff Only: item control page