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The centrifugal instability of the boundary-layer flow over slender rotating cones

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journal contribution
posted on 10.12.2015, 09:45 by Z. Hussain, Stephen J. Garrett, S. O. Stephen
Existing experimental and theoretical studies are discussed which lead to the clear hypothesis of a hitherto unidentified convective instability mode that dominates within the boundary-layer flow over slender rotating cones. The mode manifests as Görtler-type counter-rotating spiral vortices, indicative of a centrifugal mechanism. Although a formulation consistent with the classic rotating-disk problem has been successful in predicting the stability characteristics over broad cones, it is unable to identify such a centrifugal mode as the half-angle is reduced. An alternative formulation is developed and the governing equations solved using both short-wavelength asymptotic and numerical approaches to independently identify the centrifugal mode.

History

Citation

Journal of Fluid Mechanics, 2014, 755, pp. 274-293

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Journal of Fluid Mechanics

Publisher

Cambridge University Press (CUP)

issn

0022-1120

eissn

1469-7645

Copyright date

2014

Available date

10/12/2015

Publisher version

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9321276&fileId=S0022112014004170

Language

en