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Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
Article . 2013 . Peer-reviewed
License: Royal Society Data Sharing and Accessibility
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Article . 2013
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Mixing efficiency in natural flows

Authors: Lozovatsky, I. D.; Fernando, H. J. S.;

Mixing efficiency in natural flows

Abstract

Abstract It is argued that the mixing efficiency of naturally occurring stratified shear flows, γ=Rf/(1−Rf), where Rf is the flux Richardson number, is dependent on at least two governing parameters: the gradient Richardson number Ri and the buoyancy Reynolds number Reb=ε/vN2. It is found that, in the range approximately 0.03<Ri<0.4, which spans 104<Reb<106, the mixing efficiency obtained via direct measurements of fluxes and property gradients in the stable atmospheric boundary layer and homogeneous/stationary balance equations of turbulent kinetic energy (TKE) is nominally similar to that evaluated using the scalar balance equations. Outside these Ri and Reb ranges, the commonly used flux-estimation methodology based on homogeneity and stationarity of TKE equations breaks down (e.g. buoyancy effects are unimportant, energy flux divergence is significant or flow is non-stationary). In a wide range, 0.002<Ri<1, the mixing efficiency increases with Ri, but decreases with Reb. When Ri is in the proximity of Ricr∼0.1–0.25, γ can be considered a constant γ≈0.16–0.2. The results shed light on the wide variability of γ noted in previous studies.

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Keywords

Hydrology, hydrography, oceanography, Turbulent transport, mixing

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 10%
Top 10%
bronze