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Viscous reflection of internal waves from a slope

Author(s)
Kataoka, T.; Akylas, Triantaphyllos R.
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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Abstract
Motivated by the laboratory experiments of Rodenborn et al. [Phys. Fluids 23, 026601 (2011)PHFLE61070-663110.1063/1.3553294], a weakly nonlinear model is developed that accounts for viscous dissipation in the reflection of a finite-width internal wave beam from a uniform slope. Asymptotically, at high Reynolds number, viscous effects come into play predominantly in the immediate vicinity of the critical slope angle equal to the propagation angle to the horizontal of the incident wave beam. However, in the experiments of Rodenborn et al. where the Reynolds number is moderately large, it turns out that viscosity is important throughout the slope range considered, which explains the overall poor agreement of their observations with earlier inviscid models. The predictions of the proposed model, by contrast, are in good qualitative, and in some respects quantitative, agreement with these experiments, and they also compare favorably against numerical Navier-Stokes simulations.
Date issued
2020-01
URI
https://hdl.handle.net/1721.1/125528
Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Journal
Physical Review Fluids
Publisher
American Physical Society (APS)
Citation
Kataoka, T., and T. R. Akylas. "Viscous reflection of internal waves from a slope." Physical Review Fluids, 5, 1 (January 2020): 014803. © 2020 American Physical Society
Version: Final published version
ISSN
2469-990X

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