Physics
Scientific paper
Nov 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005georl..3222604c&link_type=abstract
Geophysical Research Letters, Volume 32, Issue 22, CiteID L22604
Physics
4
Oceanography: Physical: Currents, Oceanography: Physical: Overflows, Oceanography: Physical: Turbulence, Diffusion, And Mixing Processes (4490)
Scientific paper
Taylor's entrainment equation contains the entrainment function E that has traditionally been treated heuristically, as attested by 30 different expressions for E(Ri) available in the literature. Using a model independent procedure, we first derive the new relation: E = 2Psh $\overline{\rm u-3 which expresses E in terms of Ps, the shear production (of turbulent kinetic energy) averaged across the interface of the gravity current whose thickness and mean velocity are denoted by h and $\overline{\rm u. Second, using a turbulence model for the turbulence kinetic energy K and its rate of dissipation $\varepsilon$ (K-$\varepsilon$ model, integrated across the flow), we compute Ps to express E in terms of the Richardson number Ri and the density ratio Rρ characterizing double-diffusion. Third, we show that in the local (along the flow) case, the model reproduces the Ellison and Turner (1959) data while the non-local case reproduces the data by Princevac et al. (2005) which are up to ten times larger than the ET data.
Canuto Vittorio M.
Cheng Yong
Dubovikov Mikhail S.
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