Publication Abstracts
Canuto et al. 2005
, , and , 2005: Entrainment: Local and non-local turbulence models with double diffusion. Geophys. Res. Lett., 32, L22604, doi:10.1029/2005GL023771.
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 = 2Pshū-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 ū. Second, using a turbulence model for the turbulence kinetic energy K and its rate of dissipation ε (K-ε 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.
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BibTeX Citation
@article{ca00710f,
author={Canuto, V. M. and Dubovikov, M. S. and Cheng, Y.},
title={Entrainment: Local and non-local turbulence models with double diffusion},
year={2005},
journal={Geophysical Research Letters},
volume={32},
pages={L22604},
doi={10.1029/2005GL023771},
}
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RIS Citation
TY - JOUR ID - ca00710f AU - Canuto, V. M. AU - Dubovikov, M. S. AU - Cheng, Y. PY - 2005 TI - Entrainment: Local and non-local turbulence models with double diffusion JA - Geophys. Res. Lett. JO - Geophysical Research Letters VL - 32 SP - L22604 DO - 10.1029/2005GL023771 ER -
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