General and approximate solutions of the boundary layer equation for radial flow of incompressible liquid

• Prandtl׳s boundary layer equation for radial flow is derived.
• General solution of equation in particular case is found.
• The corresponding flows are studied, three types of flow are found.
• The quasi-exact solution is found and norm of the residual function is presented.

Non-linear partial differential equation for description of a laminar, incompressible, Newtonian radial flow in half-subspace is derived taking into account free slipping at a border. The boundary layer approximation is used and the equation with one free parameter for a steam function is obtained. The general solution for one value of this parameter is found and analysed. Some approximate solutions of the special form are constructed.