Evanescent inertial waves

We investigate evanescent inertial waves, both theoretically and experimentally, in a fluid subject to a background rotation of $\varOmega$. We predict that there is a smooth transition from conventional inertial waves to evanescent disturbances at a frequency of $\varpi = 2\varOmega$, and that at t...

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Bibliographic Details
Published in:Journal of fluid mechanics 2021-05, Vol.918, Article R2
Main Authors: Nosan, Žiga, Burmann, Fabian, Davidson, P.A., Noir, Jérõme
Format: Article
Language:English
Subjects:
Crossovers
Disturbances
Experiments
Gravity waves
Inertial waves
JFM Rapids
Topography
Velocity
Viscosity
Waves
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Summary:We investigate evanescent inertial waves, both theoretically and experimentally, in a fluid subject to a background rotation of $\varOmega$. We predict that there is a smooth transition from conventional inertial waves to evanescent disturbances at a frequency of $\varpi = 2\varOmega$, and that at this cross-over frequency the evanescent disturbances are spatially extensive, having a horizontal extent which is limited only by viscosity, or by the size of the domain. These findings are confirmed by our experiments, which, to the best of our knowledge, represent the first quantitative experimental investigation of evanescent inertial waves.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2021.343