Considered here is turbulent boundary layer flow with injection or suction and pressure gradient along the surface. The velocity and thermal inner laws for transpired turbulent boundary layers are represented by simple power law forms which are then used to solve the integral form of the thermal energy equation. Solving this equation leads to the variation of Stanton number with position, x, along the surface. Predicted Stanton numbers are compared with experimental data for a number of different cases. These include both blowing and suction with constant blowing fractions, F, in zero and non-zero pressure gradient and more complicated situations in which the blowing fraction, F, varies with position or where F or the surface temperature have step changes in value.

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