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Title: On the non-parallel instability of the rotating-sphere boundary layer
Authors: Segalini, Antonio
Garrett, Stephen J.
First Published: 29-Mar-2017
Publisher: Cambridge University Press (CUP)
Citation: Journal of Fluid Mechanics, 2017, 818, pp. 288-318
Abstract: We present a new solution for the steady boundary-layer flow over the rotating sphere that also accounts for the eruption of the boundary layer at the equator and other higher-order viscous effects. Non-parallel corrections to the local type I and type II convective instability modes of this flow are also computed as a function of spin rate. Our instability results are associated with the previously observed spiral vortices and remarkable agreement between our predictions of the number of vortices and experimental observations is found. Vortices travelling at 70 %–80 % of the local surface speed are found to be the most amplified for sufficient spin rates, also consistent with prior experimental observations.
DOI Link: 10.1017/jfm.2017.131
ISSN: 0022-1120
eISSN: 1469-7645
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017 Cambridge University Press. Deposited with reference to the publisher’s open access archiving policy.
Appears in Collections:Published Articles, Dept. of Mathematics

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