Momentum/heat-transfer analogy for turbulent boundary layers in mild pressure gradients

A velocity law of the wall valid for mild pressure gradients is introduced and is coupled to the temperature law of the wall to obtain the Reynolds analogy factor as influenced by pressure gradients and laminar Prandtl numbers. The laminar Prandtl number is varied while the turbulent Prandtl number is taken as unity. The resulting general formula for the momentum/heat-transfer analogy is shown to be valid for all laminar Prandtl numbers except those associated with liquid metals.