Forced convection in a two-dimensional nominally steady turbulent boundary layer

The problem of forced convection of heat in a two-dimensional turbulent boundary layer is considered. The asymptotic structure of the time-mean equations in the limit of large Reynolds number is determined using the method of matched asymptotic expansions without recourse to any specific turbulence closure model. The temperature boundary layer is a double composite layer and the Reynolds number dependence is established for the leading order velocity, temperature and length scales in each layer. Composite uniformly valid profiles for the velocity and the temperature are derived from leading order inner and outer layer asymptotic expansions for the velocity and temperature.