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Reformulation of a two-equation model for the turbulent heat transfer

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1060
pages 1008-1020

S. Rochhausen
German Aerospace Center, Institute of Propulsion Technology Linder Hoehe 1, 51147 Cologne


In this paper a model for the turbulent heat transport is developed. The model is based on equations proposed by Nagano [13] and reformulated by the introduction of a specific dissipation rate. Closure coefficients for destruction source terms are derived by assuming a constant time-scale ratio for thermal and velocity fluctuations in homogenous decaying turbulence. Production modelling constants are calibrated in the thermal mixing layer and flat plate viscous boundary layer. The introduction of a specific dissipation rate makes the use of a wall damping function unnecessary. This is advantageous in separated flows. Simulation results of the backward facing step show a more accurate prediction of heat transfer coefficient compared to constant turbulent Prandtl number calculation. The model has been calibrated and applied with the Menter-SST model [12].

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