Wake layer in a thermal turbulent boundary layer with pressure gradient

The open equations of thermal turbulent boundary layer subjected to pressur e gradient have been analysed by method of matched asymptotic expansions at large Reynolds number. The flow is divided into outer wake layer and inner wall layer. The asymptotic expansions are matched by Millikan-Kolmogorov h ypothesis. The temperature profile in overlap region yields composite law w hich reduce to log. law for moderate pressure gradient and inverse half pow er law for strong adverse pressure gradient. In case of a shallow thermal w ake, the matching result of outer wake layer reduces to composite temperatu re defect law, which is more general than the classical log, law. The compa rison of data for thermal boundary layer with strong adverse pressure gradi ent is also considered.