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|Title:||The centrifugal instability of a slender rotating cone.|
Garrett, Stephen J.
|Citation:||Journal of Algorithms and Computational Technology, 2012, 6 (1), pp. 113-128|
|Abstract:||In this study, we provide a mathematical description of the onset of counter-rotating circular vortices observed for a family of slender rotating cones (of half-angles 15° or less) in quiescent fluid. In particular, we apply appropriate scalings in order to simplify the basic-flow profiles, which are subsequently perturbed, accounting for the effects of streamline curvature. A combined large Reynolds number and large vortex wavenumber analysis is used to obtain an estimate for the asymptotic right-hand branch of neutral stability for a slender rotating cone. Our results confirm our earlier predictions pertaining to the existence of the new Görtler mode and capture the effects of the governing centrifugal instability mechanism. Meanwhile, favourable comparisons are drawn with existing numerical neutral stability curve results.|
|Rights:||Copyright © 2012 Multi-Science Publishing. Deposited with reference to the publisher's archiving policy available on the SHERPA/RoMEO website.|
|Appears in Collections:||Published Articles, Dept. of Mathematics|
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