Abstract
Near-wall turbulence models for the velocity and temperature fields based on the transport equations for the Reynolds stresses, the dissipation rate of turbulent kinetic energy and the temperature variance and its dissipation rate are formulated for flows with widely different Prandtl numbers. Conventional high-Reynolds-number models are used to close these equations and modifications are proposed to render these modeled equations asymptotically correct near a wall compared to the behavior of the corresponding exact equations. Thus formulated, the models are used to calculate flows with different wall thermal boundary conditions covering a wide range of Prandtl numbers. Comparisons with measurements and direct simulation data show that correct near-wall asymptotic behavior is recovered for the mean properties and the turbulence statistics. Furthermore, the results are in good agreement with measurements over the range of Prandtl numbers investigated.
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