Publication Abstracts

Canuto et al. 2005

Canuto, V.M., M.S. Dubovikov, and Y. Cheng, 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 = 2Ps-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={Geophys. Res. Lett.},
  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.
VL  - 32
SP  - L22604
DO  - 10.1029/2005GL023771
ER  -

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