RÉSUMÉ

The extended version of the analytical wall-function for rough wall turbulence is further developed. In order to model thermal boundary layer of high Prandtl number fluid flows, such as water, and engineering oil flows, a correct near-wall limiting profile of the turbulent viscosity needs to be linked for the analytical integration process. It is confirmed that the presently proposed version of the analytical wall-function performs very well for predicting turbulent high Prandtl number thermal flows at Pr ≤ 4 × 10⁴ for smooth wall cases, and at least at Pr ≤ 4 × 10 for rough wall cases.