Record Details

A modified law-of-the-wall applied to oceanic bottom boundary layers

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Title A modified law-of-the-wall applied to oceanic bottom boundary layers
Names Perlin, A. (creator)
Moum, James N. (creator)
Klymak, J. M. (creator)
Levine, Murray D. (creator)
Boyd, Timothy John, 1958-2013 (creator)
Kosro, P. Michael (creator)
Date Issued 2005-09-28 (iso8601)
Note Copyrighted by American Geophysical Union.
Abstract Near the bottom, the velocity profile in the bottom boundary layer over the continental
shelf exhibits a characteristic law-of-the-wall that is consistent with local estimates of
friction velocity from near-bottom turbulence measurements. Farther from the bottom, the
velocity profile exhibits a deviation from the law-of-the-wall. Here the velocity gradient
continues to decrease with height but at a rate greater than that predicted by the law-of-the-wall
with the local friction velocity. We argue that the shape of the velocity profile is
made consistent with the local friction velocity by the introduction of a new length scale
that, near the boundary, asymptotes to a value that varies linearly from the bottom. Farther
from the boundary, this length scale is consistent with the suppression of velocity
fluctuations either by stratification in the upper part of the boundary layer or by proximity
to the free surface. The resultant modified law-of-the-wall provides a good representation
of velocity profiles observed over the continental shelf when a local estimate of the
friction velocity from coincident turbulence observations is used. The modified law-of-the-
wall is then tested on two very different sets of observations, from a shallow tidal
channel and from the bottom of the Mediterranean outflow plume. In both cases it is
argued that the observed velocity profile is consistent with the modified law-of-the-wall.
Implicit in the modified law-of-the-wall is a new scaling for turbulent kinetic energy
dissipation rate. This new scaling diverges from the law-of-the-wall prediction above 0.2D
(where D is the thickness of the bottom boundary layer) and agrees with observed profiles
to 0.6D.
Genre Article
Identifier Perlin, A., J. N. Moum, J. M. Klymak, M. D. Levine, T. Boyd, and P. M. Kosro (2005), A modified law-of-the-wall applied to oceanic bottom boundary layers, J. Geophys. Res., 110, C10S10, doi:10.1029/2004JC002310.

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