On the Asymptotic Solution of the Poisson Equation, Describing the Two-Dimensional Incompressible Inviscid Flow in a Rotating Centrifugal Impeller

摘要

A calculation of the flow of an incompressible inviscid fluid in a rotating centrifugal impeller is presented. This calculation is based on an asymptotic solution of the Poisson equation in a coordinate system related to logarithmic spiral blades. It consists of the construction of the zero'th order approximation valid in a region well away from the blade tips.