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Title: The centrifugal instability of the boundary-layer flow over a slender rotating cone in an enforced axial free stream
Authors: Hussain, Z.
Garrett, Stephen J.
Stephen, S. O.
Griffiths, Paul Travis
First Published: 22-Dec-2015
Publisher: Cambridge University Press (CUP)
Citation: Journal Of Fluid Mechanics, 2016, 788, pp. 70-94 (25)
Abstract: In this study, a new centrifugal instability mode, which dominates within the boundary-layer flow over a slender rotating cone in still fluid, is used for the first time to model the problem within an enforced oncoming axial flow. The resulting problem necessitates an updated similarity solution to represent the basic flow more accurately than previous studies in the literature. The new mean flow field is subsequently perturbed, leading to disturbance equations that are solved via numerical and short-wavelength asymptotic approaches, yielding favourable comparisons with existing experiments. Essentially, the boundary-layer flow undergoes competition between the streamwise flow component, due to the oncoming flow, and the rotational flow component, due to effect of the spinning cone surface, which can be described mathematically in terms of a control parameter, namely the ratio of streamwise to axial flow. For a slender cone rotating in a sufficiently strong axial flow, the instability mode breaks down into Görtler-type counter-rotating spiral vortices, governed by an underlying centrifugal mechanism, which is consistent with experimental and theoretical studies for a slender rotating cone in otherwise still fluid.
DOI Link: 10.1017/jfm.2015.671
ISSN: 0022-1120
eISSN: 1469-7645
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2016, Cambridge University Press. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website.
Description: The file associated with this record is under a 6-month embargo from publication in accordance with the publisher's self-archiving policy. The full text may be available through the publisher links provided above.
Appears in Collections:Published Articles, Dept. of Mathematics
Published Articles, Dept. of Engineering

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