Influence of A Volumetric Chemical Reaction on the Convective Mass Transfer Near A Drop

The problem of steady convective mass transfer between a spherical drop and a flow with distributed chemical reaction is considered. It is investigated in case where both Peclet number and the rate constant of the chemical reaction tend to infinity. The quantity of rate constant of the chemical reaction and Peclet number is assumed to have a constant value. It is a boundary value problem for a quasilinear partial elliptical equation with a small parameter multiplying in higher derivatives. In the neighborhood of the saddle point the additional boundary layer arises. The asymptotics of solution is constructed in the neighborhood of the saddle point. The leading term of the asymptotic expansion of solution is constructed in the boundary layer near the rear stagnation point of the drop as the solution for the quasilinear ordinary differential equation.