On a Closed-Form Solution of Prandtl's System of Equations

In this paper, we will attempt to obtain a closed form solution of Prandtl's system of equations which describe the boundary layer of a two-dimensional steady and incompressible viscous flow over a curved surface. Specifically, we will obtain a direct integration of these equations resulting step by step to a closed-form expression for velocity profile taking also into account the corresponding boundary conditions which complete the known from literature Prandtl's simplified assumptions concerning boundary layer flows.