Transfer of a passive additive in a turbulent boundary layer at very large Reynolds numbers

We formulate the mass transfer problem for a passive additive in a turbulent boundary layer based on the recently proposed model of the turbulent boundary layer at very large Reynolds numbers. The solutions of three basic problems are obtained. These solutions are self-similar asymptotics describing the mass exchange at its initial stages. The solutions obtained can be used for the construction (in particular, the numerical construction) of the solution to the more general problems of passive admixture transfer in the developed turbulent wall-bounded shear flows.