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Title: The centrifugal instability of the boundary-layer flow over slender rotating cones
Authors: Hussain, Z.
Garrett, Stephen J.
Stephen, S. O.
First Published: 14-Aug-2014
Publisher: Cambridge University Press (CUP)
Citation: Journal of Fluid Mechanics, 2014, 755, pp. 274-293
Abstract: 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.
DOI Link: 10.1017/jfm.2014.417
ISSN: 0022-1120
eISSN: 1469-7645
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2014, Cambridge University Press. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website (10/12/2015).
Appears in Collections:Published Articles, Dept. of Mathematics

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