ABSTRACT

This chapter explores the Prandtl system for stationary flows. The methods used are mainly based on a transformation introduced by Crocco. This transformation reduces the boundary layer system to a single quasilinear equation which is of the degenerate parabolic type. The chapter considers the boundary layer problem near a critical point on the wall in the case of an axially symmetric flow and that of a two-dimensional symmetric flow. It discusses a natural class of functions for solutions of these problems and constructs an asymptotic expansion for the solution near a critical point in the case of a symmetric boundary layer. The chapter provides the convergence of the velocity component in the direction of the wall within the boundary layer to the outer stream velocity.