Transient Analysis for Compressible Fluid Flow in Transmission Line by the Method of Characteristics

Abstract

Abstract Transient analysis for compressible fluid flow has been conducted to evaluate the dynamic characteristics of dead-ended or volume-terminated transmission lines following a sudden pressure change at its entrance. The acoustic waves due to compressibility of fluid might be generated by the sudden pressure change. The two partial-differential equations, based on the conversion of mass, energy and momentum, were derived for the one-dimensional adiabatic compressible flow with friction and entrance head loss. The governing equations describing the present transient-state flow are hyperbolic, partial differential equations. The boundary conditions involve a fixed volume termination at the exit and include sinusoidal disturbance in the sudden pressure change at tube entrance. The method of characteristics is used to transform the partial differential equation into the particular total differential equations, which can be integrated along the characteristic lines. The present results show good agreement with the existing results. The effects of tube length, tube diameter and end volume are evaluated.