Abstract

In a previous paper[Phys.Fluids 9(1997)], we proposed an improved renormalization group(RNG)theory based on conditional iterative-averaging for turbulent flow with mean shear to derive an eddy-viscosity type turbulence model. In the present paper, we have applied this iterative-averaging RNG theory to the governing equation for a thermal field, and derived a thermal eddy diffusivity representation relevant to the turbulent heat flux. Furthermore, we have also obtained the RNG-based equation for the turbulent Prandtl number Prt, with a hogh Reynolds-number limit as Prt=0.79. The present RNG-based model is applied to the calculations of wall turbulent heat transfer. Agreement with the experiment and the direct simulation data is generally very satisfactory.

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