Pulsating Laminar Flow in a Cylindrical Pipe with Through Flow

Abstract

An analysis is made of a pulsating laminar liquid flow in a pipe of circular cross-section with through flow. In this case, M, the ratio of the representative velocity of through flow to sound speed is much smaller than unity, so a regular perturbation method with M is available. When the flow of the order to M¹ is considered, owing to the through flow the eigenvalue and the velocity distribution of out-going wave differ from those of in-coming one.