Modification of Pipeline Equations and Simulation of Transients in Compressible Fluid Flow in Pipes

Abstract

A slow transient was simulated using Godunov numerical scheme to solve the model equations. The results proved that including the inertia term in the momentum equation makes the model more realistic and that the Godunov numerical scheme is a better numerical method compared to the previously used total variation diminishing numerical scheme. Modification was made to steady-state equations to account for change in diameter. The results showed that energy has been spent by the flowing fluid to overcome the effect of the change in diameter and that energy spent increases as the change in diameter increases.