On the wall boundary conditions for computing turbulent heat transfer with K−ω models

A new wall boundary condition for the standard Wilcox’s k ω model (1988) is proposed. The model combines a wall function and a low-Reynolds number approach, and a function that smoothly blends the two formulations, enabling the model to be used independently of the location of the first interior com-putational node. The model is calibrated using DNS-data for a channel flow and applied to a heat transfer prediction for a flow in a rib-roughened channel (Reb 100 000). The results obtai-ned with the new model are improved for various mesh sizes and are asymptotically identical with those of the standard k ω tur-bulence model