Similar solutions of turbulent boundary layer heat and mass transfer problems

Abstract

It is shown that similar solutions of certain turbulent boundary layer heat and mass transfer problems can be obtained when the thermal and diffusion layers lie within the constant shear layer, as is the case when Prandtl and Schmidt numbers are large. Closed form solutions are obtained for the problems of heat transfer from an isothermal surface, mass transfer with a finite interfacial velocity, and heat transfer from a surface having a particular temperature distribution. A comparison of experimental duct heat transfer data with Spalding functions calculated with each of Spalding's laws of the wall shows that one of the laws is significantly superior to the other.