Large eddy simulations of turbulent convective heat transfer in a square duct are presented. A finite volume LU decomposition scheme is used to simulate compressible three-dimensional turbulent flow at low Mach numbers in a heated duct. Time derivative preconditioning is used to deal with the low Mach number situation. A localized dynamic subgrid-scale (SGS) model is used to evaluate the unresolved stresses. The calculation domain is divided into two parts. In the first part periodic boundary conditions are used and this provides the fully developed inlet flow for the second part in which the heat transfer conditions are imposed. Characteristic out-flow conditions are applied in the second part. This allows the flow to develop further as it responds to the heating condition. The Reynolds number varied from the order of 1,000 to the order of 10,000. Heated duct cases under constant wall temperature and constant wall heat flux were simulated. Good agreement between the present results with available numerical and experimental data has been obtained.

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