Transformation theory for the adiabatic compressible turbulent boundary layer with pressure gradient
We have reviewed Coles' analytical development of the transformation and its application to the constant pressure turbulent boundary layer. The limitations of the theory are denned, and an attempt is made to explain the discrepancies. The equations governing the scaling functions (which link the high-speed boundary layer to an equivalent low-speed flow) are derived in terms of the integral properties of the low-speed flow for an aribtrary pressure distribution. The modeling is completed by coupling the pressure gradients of the two flows and predicting the behavior of the integral properties of the low-speed flow. For a supersonic turbulent boundary layer with specified />(#), the resulting formulation predicts the complete mapping of an equivalent low-speed flow. In addition, the integral properties of the highspeed flow are also predicted.