Using analytical solutions of second initial-boundary value problem of heat transfer in composite anisotropic plate and simple problem of gas boundary layer’s flow on the plate the coupled heat and mass transfer is studied. A new method to solve coupled problems of boundary layer flow and anisotropic heat transfer is proposed. This method is based on nonlinear equation’s systems where temperatures in boundary points are unknown. The interference of heat and mass transfer when the main axes and main factors of heat conduction’s tensor are varying.