Publication Abstracts
Canuto et al. 1999
, , and G. Yu, 1999: A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows. Phys. Fluids, 11, 665-677, doi:10.1063/1.869938.
The basic equations for the two-point Reynolds stresses derived in paper II are solve analytically in two regimes: the UV (ultraviolet) region corresponding to the inertial range and the IR (infrared) region corresponding to k→0. The analytic treatment is possible due to the existence of two smallness parameters: Ui,j(k2νt)-1 in the UV region and kL in the IR region; Ui,j is the mean velocity gradient, νt(k) is the turbulent viscosity, and L is the integral length scale. For an arbitrary flowm the Reynolds stress spectrum in the UV region is given by Eqs. (53)-(59). In the IR region, and in the first-order approximation in kL, the spectra coincide with those of the rapid distortion theory. Since they are flow independent, we shall discuss a few representative cases. The resulting Reynolds stress spectra, which are shown to reproduce existing data, are the basis for the calculation of the one-point Reynolds stresses to be presented in paper IX. The model has no free parameters.
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BibTeX Citation
@article{ca05300q,
author={Canuto, V. M. and Dubovikov, M. S. and Yu, G.},
title={A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows},
year={1999},
journal={Physics of Fluids},
volume={11},
pages={665--677},
doi={10.1063/1.869938},
}
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RIS Citation
TY - JOUR ID - ca05300q AU - Canuto, V. M. AU - Dubovikov, M. S. AU - Yu, G. PY - 1999 TI - A dynamical model for turbulence. VIII. IR and UV Reynolds stress spectra for shear-driven flows JA - Phys. Fluids JO - Physics of Fluids VL - 11 SP - 665 EP - 677 DO - 10.1063/1.869938 ER -
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