Gas-Liquid Transient Flow Analysis in Deformable Pipes

Abstract

To study the transient flow in homogeneous gas-liquid mixtures in deformable pipes, a mathematical model based on the
gas-fluid mass ratio is presented. The density of the fluid is defined by an average of both fluid components. A
relationship between the pressure and the cross-section of the pipe is developed taking into account the fluid-structure
interaction. The two constitutive equations, conservation of mass and momentum, yield a set of partial differential
equations which are solved by the irregular grid method characteristics method. The obtained results show that the
pressure wave propagation is significantly influenced by the fluid compressibility and the pipe wall elasticity.