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On the non-parallel instability of the rotating-sphere boundary layer
journal contribution
posted on 2017-05-15, 10:38 authored by Antonio Segalini, Stephen J. GarrettWe 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.
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Citation
Journal of Fluid Mechanics, 2017, 818, pp. 288-318Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)
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Journal of Fluid MechanicsPublisher
Cambridge University Press (CUP)issn
0022-1120eissn
1469-7645Acceptance date
2017-02-21Copyright date
2017Available date
2017-09-29Publisher DOI
Publisher version
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-the-nonparallel-instability-of-the-rotatingsphere-boundary-layer/DDA293A2FB656AC3595C09F8703633BALanguage
enAdministrator link
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