Abstract
This paper presents instantaneous local gradient Richardson number
Ri(g)(t) measurements in a stratified shear layer using a novel laser-Doppler
anemometer and conductivity probe assembly with a resolution of Delta
z = 0.27 cm, The aim was to study the dependence of Ri(g)(t) on the
bulk Richardson number Ri(o). The shear layer was established between
two co-flowing streams of different densities and velocities, and
the motion field within the shear layer allowed the development of
Kelvin-Helmholtz (K-H) instabilities, internal waves and turbulence.
Ri(g)(t) was also measured at lesser resolutions (Delta z > 1.8 cm)
using conventional measurement techniques. Although the mean background
flow was quasi-steady, Ri(g)(t) was highly time dependent due to
the variable internal strain field induced by the combined effect
of instabilities, waves and turbulence. When K-H instabilities were
present, the time-averaged gradient Richardson number <(Ri(g))over
bar> (Delta z = 0.27 cm) was approximately a constant 0.06 +/- 0.02,
irrespective of Ri(o). When K-H instabilities were absent, <(Ri(g))over
bar> (Delta z = 0.27 cm) assumed larger values that are dependent
on Ri(o). <(Ri(g))over bar> (Delta z > 1.8 cm) was always found to
be dependent on Delta z and <(Ri(o))over bar>. It is argued that
<(Ri(g))over bar> should be measured with a resolution better than
the scale of density overturns to properly account for vertical small-scale
processes of the stratified shear layer. The measurements are consistent
with the notion that when Ri(o) < 10 or so the energy supplied to
a sheer layer at large scales can be dissipated at smaller scales
by the turbulence associated with the breakdown of K-H instabilities.
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