Viscous reflection of internal waves from a slope
Author(s)Kataoka, T.; Akylas, Triantaphyllos R.
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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.
DepartmentMassachusetts Institute of Technology. Department of Mechanical Engineering
Physical Review Fluids
American Physical Society (APS)
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
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