Stability of Swirl Axisymmetric Incompressible Flow

A new method of solution of the stability problem for swirl flow of a viscous incompressible liquid is developed. The method is based on the expansion of required functions into power series of radial coordinate and allows to avoid numerical integra- tion of the system of differential equations with a singular point. As an example the stability of Poiseuille flow in a rotating pipe is considered. Calculations by new method agree well with known numerical integration result.