Modern integral method calculation of turbulent boundary layers

Heat transfer in turbulent boundary layers, with zero or adverse pressure gradients. is calculated using modern integral methods. Inner variables are used with the velocity profile taken to be Coles's combined law of the wall and wake. The temperature profile used is the thermal law of wall and wake with an equilibrium wake strength function. The modeling employed takes into approximate account the dependence of velocity wake strength and thermal wake strength on the momentum thickness Reynolds number and the enthalpy thickness Reynolds number, respectively. Also, an attempt is made to incorporate the dependence of turbulent Prandtl number on pressure gradient, into the model. Calculations are started at the leading edge, or beginning, of the surface with very small boundary-layer thicknesses, rather than matching the measured values of Stanton number and skin-friction coefficient at the location of the first experimental data point. Predictions are compared to experimental data which include both constant flux and constant temperature surfaces, some of which may have unheated starting lengths. There is reasonably good agreement between them for all but the case of very severe adverse pressure gradient.