Exact Solutions and Transformations of the Equations of a Stationary Laminar Boundary Layer

Exact solutions of the equations of a stationary laminar boundary layer are reviewed. New exact solutions are presented that depend on arbitrary functions. Newtonian and non-Newtonian liquids are considered. Nonisothermal and diffusion boundary layers are analyzed. A general transformation is presented that preserves the form of the three-dimensional boundary layer equations in an arbitrary orthogonal curvilinear coordinate system. A simple approximate method is proposed for solving the boundary layer problems for flows past slightly deformed smooth surfaces.