A near-wall two-equation heat transfer model for wall turbulent flows

A proposed near-wall t2–εt two-equation model for turbulent heat transport reproduces the correct near-wall behavior of temperature under various wall thermal boundary conditions. In this model, a mixing timescale is introduced to model the production term of εt equation, and a more convenient boundary condition for εt under the uniform wall heat flux is suggested. The present model is tested through application to turbulent heat transfer for channel flow. Predicted results are compared with direct numerical simulation (DNS) data. The near-wall t2–εt two-equation model predicts reasonably well the distributions of the time-mean temperature, normal turbulent heat flux, temperature variance, dissipation rate and their near-wall budgets.