## Publication Abstracts

### Canuto and Dubovikov 1997

**9**, 2132-2140, doi:10.1063/1.869332.

We study turbulence undergoing rapid rotation. We show that there exist two different regimes divided by the new number N = K/νΩ. N < 1: rotation is so strong that it suppresses the energy cascade process and no inertial regime can develop. In the freely decaying case, only viscosity operates; an initailly isotropic three-dimensional (3-D) turbulence remains so and never tends toward a 2-D state. N > 1: the energy cascade, though inhibited, allows an inertial regime in which 3-D and a quasi 2-D state exist in equilibrium. The latter is restricted to a narrow band of values δk_{z} ∼ k_{Ω}^{-1}K^{2}, where k_{Ω} = (Ω^{3}/ε)^{1/2}. For k > k_{Ω}, the Kolmogorov spectrum sets in, while k < k_{Ω}, the spectrum exhibits a new form, E(k) ∼ (εΩ)^{1/2}/k^{2}. A freely decaying turbulence within a time scale τ_{Ω} ∼ (Ω/ε)^{1/2}L tends to a 2-D–3-D regime: K ∼ t^{-n} while horizontal length scales grow as t^{m}, where (m,n) are half the values of the Ω = 0 case. As for the vertical length scales, one grows as the horizontal scales, while the other grows much faster, deomonstrating the existence of the 2-D mode. The nonlinear interactions, though weakened, are the main cause of two-dimensionalization, which, however, is not of the Proudman-Taylor type since the latter requires negligible nonlinearities. We also derive the dynamic equation for the dissipation rate ε. All the results are shown to be in agreement with numerical simulation and experimental data.

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#### BibTeX Citation

@article{ca01200l, author={Canuto, V. M. and Dubovikov, M. S.}, title={A dynamical model for turbulence. V. The effect of rotation}, year={1997}, journal={Phys. Fluids}, volume={9}, pages={2132--2140}, doi={10.1063/1.869332}, }

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#### RIS Citation

TY - JOUR ID - ca01200l AU - Canuto, V. M. AU - Dubovikov, M. S. PY - 1997 TI - A dynamical model for turbulence. V. The effect of rotation JA - Phys. Fluids VL - 9 SP - 2132 EP - 2140 DO - 10.1063/1.869332 ER -

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