Production_JFM.pdf (988.69 kB)
Download file

On the non-parallel instability of the rotating-sphere boundary layer

Download (988.69 kB)
journal contribution
posted on 15.05.2017, 10:38 by Antonio Segalini, Stephen J. Garrett
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.

History

Citation

Journal of Fluid Mechanics, 2017, 818, pp. 288-318

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Journal of Fluid Mechanics

Publisher

Cambridge University Press (CUP)

issn

0022-1120

eissn

1469-7645

Acceptance date

21/02/2017

Copyright date

2017

Available date

29/09/2017

Publisher version

https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-the-nonparallel-instability-of-the-rotatingsphere-boundary-layer/DDA293A2FB656AC3595C09F8703633BA

Language

en

Usage metrics

Categories

Keywords

Exports