The turbulent convection heat transfers in a circular tube and in longitudinal tube banks were simulated with the k-ε model and Reynolds stress model (RSM) respectively.The simulation results show that there are valid deviations in the approximate calculations by the existing experimental correlation formula for the turbulent convection heat transfer in longitudinal tube banks.Further simulations were carried out with different pitch ratios and Reynolds numbers.Based on the numerical simulation results,a new correlation formula was presented.