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Internal solitary wave bottom boundary layer dissipation

S. Zahedi1, P. Aghsaee2, and L. Boegman1,*

  • 1Environmental Fluid Dynamics Laboratory, Department of Civil Engineering, Queen's University, Kingston, Ontario, Canada K7L 3N6
  • 2Iowa Department of Natural Resources, 502 East 9th Street, Des Moines, Iowa 50319-0034, USA

  • *boegmanl@queensu.ca
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Phys. Rev. Fluids 6, 074802 – Published 29 July, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.074802

Abstract

Boundary layer instability beneath internal solitary waves (ISWs) of depression may be a significant source of wave-energy dissipation and drive localized mixing and resuspension in coastal regions. Wave flume experiments were undertaken to measure the dissipation of turbulent kinetic energy in the boundary layer beneath ISWs shoaling over a flat bottom. The rate of dissipation of turbulent kinetic energy (ɛ∼10−7−10−2Wkg−1) was elevated within the unstable boundary layer region, occurring for waves with momentum thickness-based Reynolds number ReISW>∼200. Dissipation was parametrized in terms of wave energy (RMSE=10×10−4Wm−1) and ReISW (RMSE=7×10−4Wm−1). The dissipation length scale was computed from wave-integrated boundary layer dissipation Ld=cED and parametrized as a function of wavelength λ and ReISW as Ld*=100λ+2.5×1010λReISW−3.7 (RMSE=∼50λ). Unstable waves had a dissipative length scale of ∼100λ, in agreement with limited field observations, whereas stable waves propagated significantly further (>∼1000λ).

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Phys. Rev. Fluids 6, 074802– Published 29 July, 2021
  • Received 11 November 2020
  • Accepted 6 July 2021
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