Transformation of the equations of a three-dimensional boundary layer for numerical calculation

Necessary data for the organization of the numerical calculation of three-dimensional steady gas flows in a boundary layer are presented. In an arbitrary system of coordinates on the surface of the body, equations are derived for determining the displacement thickness and boundary stream function in the presence of mass transfer. An equation is presented for determining the scale multiplier of the transverse coordinate, the use of which makes it possible to perform calculations in a region with constant boundaries. The solution to this equation is independent of the choice of coordinate system and is a generalization of known expressions for the scale multiplier in the case of two-dimensional flows. A system of boundary layer equations transformed for numerical calculation is examined.