Abstract

Turbulent entrainment at the density interface of a stable two-layer stratified fluid is studied in the laboratory, a constant surface stress being applied at the free surface. Conservation of mass requires that the overall Richardson number Ri = Dg δρ/ρ u * 2 is constant in each experiment, where D is the depth of the mixed layer, g δρ/ρ the buoyancy difference and u * the friction velocity. If the entrainment rate E = u e / u * is a function only of Ri , it is therefore constant in each experiment and can be measured with a greater accuracy than has previously been attained. The functional dependence of u e / u * on Ri is established over the range 30 < Ri < 1000; it is found not to follow any simple power law. The entrainment rates are considerably higher than those measured by Kato & Phillips (1969), for which the fluid below the mixed layer was linearly stratified. Such a condition allows internal gravity waves to be radiated downwards and the reduction in entrainment rate is consistent with that found by Linden (1975).

Keywords

Entrainment (biomusicology)BuoyancyMechanicsTurbulenceRichardson numberPhysicsStratified flowsInternal waveStratification (seeds)Stratified flowThermodynamics

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Publication Info

Year
1977
Type
article
Volume
79
Issue
4
Pages
753-768
Citations
215
Access
Closed

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215
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8
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Cite This

Lakshmi Kantha, O. M. Phillips, R. S. Azad (1977). On turbulent entrainment at a stable density interface. Journal of Fluid Mechanics , 79 (4) , 753-768. https://doi.org/10.1017/s0022112077000433

Identifiers

DOI
10.1017/s0022112077000433

Data Quality

Data completeness: 77%