Development of Two-Equation Heat Transfer Model Based on Direct Simulations of Turbulent Flows with Different Prandtl Numbers.

Abstract

A low-Reynolds-number two-equation kt-et model has been constructed with the aid of direct numericai simulation (DNS) data bases on turbulent flows with different Prandtl numbers. The model adopts new length and time scales to represent various sizes of eddies in a thermal field. The predicted results for thermal fields at different Prandtl numbers were compared with the relevant DNS and experimental data. These comparisons indicate that the proposed model has sufficient capability to reproduce the DNS data, to perform highly stable computations and to analyze the heat transfer in various Prandtl number fluids.