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On the inertial wave activity during spin-down in a rapidly rotating penny shaped cylinder: a reduced model

Lookup NU author(s): Emeritus Professor Andrew Soward

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This is the of an article that has been published in its final definitive form by Cambridge University Press, 2020.

For re-use rights please refer to the publisher's terms and conditions.

Abstract

© The Author(s), 2020. Published by Cambridge University Press.In a previous paper, Oruba et al. (J. Fluid Mech., vol. 818, 2017, pp. 205-240) considered the 'primary' quasi-steady geostrophic (QG) motion of a constant density fluid of viscosity that occurs during linear spin-down in a cylindrical container of radius and height , rotating rapidly (angular velocity ) about its axis of symmetry subject to mixed rigid and stress-free boundary conditions for the case. Here, Direct numerical simulation at large and Ekman numbers in the range reveals inertial wave activity on the spin-down time scale. Our analytic study, based on , builds on the results of Greenspan & Howard (J. Fluid Mech., vol. 17, 1963, pp. 385-404) for an infinite plane layer. In addition to QG spin-down, they identify a 'secondary' set of quasi-maximum frequency (MF) inertial waves, which is a manifestation of the transient Ekman layer, decaying algebraically. Here, we acknowledge that the blocking of the meridional parts of both the primary-QG and the secondary-MF spin-down flows by the lateral boundary provides a trigger for other inertial waves. As we only investigate the response to the primary QG-Trigger, we call the model 'reduced' and for that only inertial waves with frequencies ]]>

Publication metadata

Author(s): Oruba L, Soward AM, Dormy E

Publication type: Article

Publication status: Published

Journal: Journal of Fluid Mechanics

Year: 2020

Volume: 888

Print publication date: 10/04/2020

Online publication date: 06/02/2020

Acceptance date: 17/12/2019

Date deposited: 12/03/2020

ISSN (print): 0022-1120

ISSN (electronic): 1469-7645

Publisher: Cambridge University Press

URL: https://doi.org/10.1017/jfm.2019.1064

DOI: 10.1017/jfm.2019.1064

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