Abstract
This paper reports a multiple time-scale turbulence model for a thermal field in shear flows. The model is based on the concept of the three divided thermal fluctuation spectra. The spectrum in the highest wavenumber region is modeled using an algebraic relation concerned with the molecular Prandtl number, and the remaining two other regions are modeled with four differential equations. Comparisons with the DNS data indicate that the present model works well for the predictions of thermal fields not only in wall shear flows under varions Prandtl numbers but in homogeneous shear flows with a mean thermal gradient.
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