Thermal turbulent boundary layer under strong adverse pressure gradient near separation

The problem of a thermal turbulent boundary layer under the influence of strong adverse pressure gradients near separation is analysed by the method of matched asymptotic expansions. The limit corresponding to the neighborhood of separation, as formulated by Afzal (1980) is employed. The thermal boundary layer problem is analysed using the appropriate inner and outer expansions, both above the thermal wall layer. It is found by matching that there exists an inertial sublayer where temperature distribution obeys the inverse half-power laws. The comparison of the theory with measurements shows that the slope and intercept of the wall inner law may be regarded as universal numbers, whereas the intercept of outer law shows a linear dependence on the ratio of skin friction to the product of the boundary layer thickness and the pressure gradient.