An analysis is presented which extends the theoretical work of Weighardt and determines the adiabatic wall effectiveness of a turbulent boundary layer in a constant free-stream velocity flow heated or cooled by the discharge of a secondary fluid through a slot. A comparison of the analysis with the experimental results of Wieghardt is made and it is found that the streamwise decay in adiabatic wall effectiveness, except in the immediate region of the slot, may be explained by considering the thermal boundary layer growth within the hydrodynamic boundary layer.

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