A Simple Theory for Heat and Mass Transfer in a Compressible Tubulent Boundary Layer on a Flat Plate with Foreign Gas Transpiration

Abstract

As a preparatory study of ablation cooling or transpiration of combustible gases into a boundary layer, a simple theory has been developed for the calculation of skin-friction, heat transfer and mass transfer coefficients of a flat plate turbulent boundary layer transpired with foreign gas. For this purpose, the theory previously developed by the author has been extended. The extension was made in two points, namely that the assumption on the Prandtl and Schmidt number with their values being unity was removed, and that a compressibility of fluid was successfully taken into account. The extended theory is also similar to those by Rubesin and Pappas, and by Denison. However, an improvement has been made in that any number of chemical species is allowed to compose the fluid. This is very neccessary in order to apply the theory to the problems mentioned above. The results abtained are in fairly good agreement with the available experimental results. Also, the computational time is believed to be much shorter than that needed in similar numerical colculations by Landis and Mills.