A Note on Compressible Flow in a Tube of Slightly Varying Cross-section

摘要

Non-uniform compressible flow in a tube is investigated using the approximate linearized equation for the velocity potential. It is found that for supersonic flow, stationary oscillatory disturbances result from initially non-uniform conditions and these persist down the tube. For subsonic flow in a straight tube no oscillatory disturbances occur and any initial non-uniformity is damped out downstream in general. A method of calculating the supersonic flow in a tube of slightly varying cross-section is indicated.