ANALYSES OF THE MOTION OF A PIPE CONVEYING A FLUID WITH AN INVISCID FLOW

Abstract

The transverse motion of a fluid-conveying pipe with an inviscid flow was considered in this work. A comprehensive governing differential equation for the transverse vibration of a fluid-conveying pipe system was derived according to the principles of conservation of mass and momentum of fluid in a pipe. The derived equation was then analyzed and solved for an inviscid flow using the integral Fourier-Laplace Transformations. Effect of some flow parameters like mass ratios, damping coefficient and velocity of flow were investigated. Results revealed that the first natural frequency increased with increase in mass ratio for low velocities and reverse was the case for relatively high velocities. First natural frequency also increased with damping coefficients. Similar profiles can be observed about the second natural frequency. The response increased with increase in velocity. The study concluded that damping coefficient and mass ratio played significant roles in the motion of a fluid-conveying pipe with an inviscid flow.