Low-Reynolds-number oscillating boundary layers on adiabatic slopes

Kaiser, Bryan E.; Pratt, Lawrence J.; Callies, Jörn

doi:10.1017/jfm.2022.794

Title: Low-Reynolds-number oscillating boundary layers on adiabatic slopes

Journal Article · Thu Oct 13 00:00:00 EDT 2022 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2022.794· OSTI ID:1922767

^[1]; Pratt, Lawrence J. ^[2]; Callies, Jörn ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Woods Hole Oceanographic Institution, Woods Hole, MA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States)

We investigate the instabilities and transition mechanisms of Boussinesq stratified boundary layers on sloping boundaries when subjected to oscillatory body forcing parallel to the slope. We examine idealized forms of boundary layers on hydraulically smooth abyssal slopes in tranquil mid- to low-latitude regions, where low-wavenumber internal tides gently heave isopycnals up and down adiabatic slopes in the absence of mean flows, high-wavenumber internal tides, shelf breaks, resonant tide–bathymetry interactions (critical slopes) and other phenomena associated with turbulence ‘hot spots’. In non-rotating low-Reynolds-number flow, increased stratification on the downslope phase has a relaminarizing effect, while on the upslope phase we find transition-to-turbulence pathways arise from shear production triggered by gravitational instabilities. When rotation is significant (low slope Burger numbers) we find that boundary layer turbulence is sustained throughout the oscillation period, resembling stratified Stokes–Ekman layer turbulence. Simulation results suggest that oscillating boundary layers on smooth slopes at low Reynolds number ($$Re\leqslant 840$$), unity Prandtl number and slope Burger numbers greater than unity do not cause significant irreversible turbulent buoyancy flux (mixing), and that flat-bottom dissipation rate models derived from the tide amplitude are accurate within an order of magnitude.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)

Grant/Contract Number:: 89233218CNA000001; OCE-1657870

OSTI ID:: 1922767

Report Number(s):: LA-UR-21-28222

Journal Information:: Journal of Fluid Mechanics, Vol. 950; ISSN 0022-1120

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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