J. Sucec et M. Oljaca, CALCULATION OF TURBULENT BOUNDARY-LAYERS WITH TRANSPIRATION AND PRESSURE-GRADIENT EFFECTS, International journal of heat and mass transfer, 38(15), 1995, pp. 2855-2862
The integral form of the momentum equation is solved by use of a combi
ned law of the wall and wake for the velocity profile appropriate to a
transpired turbulent boundary layer. This gives a nonlinear ordinary
differential equation which is solved numerically to predict the skin
friction coefficient, C-f, variation with distance, as well as integra
l thicknesses, for both constant blowing fraction, F, and for F variab
le with x along the surface. Predicted skin friction coefficients are
compared to experimental data for both blowing and suction in both zer
o and nonzero pressure gradients. Predictions compare well with the ex
perimental values.