Please use this identifier to cite or link to this item:
|Title:||On the non-parallel instability of the rotating-sphere boundary layer|
Garrett, Stephen J.
|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.|
|Embargo on file until:||29-Sep-2017|
|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|
Files in This Item:
|Production_JFM.pdf||Post-review (final submitted author manuscript)||988.69 kB||Adobe PDF||View/Open|
Items in LRA are protected by copyright, with all rights reserved, unless otherwise indicated.