Abstract

In a previous paper, we proposed an improved renormalization group (RNG) theory based on iterative averaging for turbulent shear flows to obtain an eddy-viscosity-type turbulence model. In the present paper, we have applied this theory to the governing equation for a thermal field, and derived a thermal eddy diffusivity representation relevant to the turbulent heat flux. We have also obtained an RNG-based equation for the turbulent Prandtl number Prt, with a high Reynolds number limit as Prt=0.79.

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