RETRACTED: Analytical and CFD analysis investigation of fluid-structure interaction during water hammer for straight pipe line

Abstract

The aim of this study is to show the influence of the effect of water hammer at the level junctions and valves on the values of the pressure and velocity for the fluid and the axial velocity and stress for the piping on the exact solution of the FSI four-equation model of two filling pipes system by using two methods, the first is the analytical method and the second is the computational fluid dynamics (CFD) method. The application of the conservation laws of the mass, momentum, and energy for a flow transient in driving, leads us to a system of differential equations to partial derivatives of the hyperbolic type. This equation system takes into account counts the two fluid-pipe interaction, the pipe velocity, as well as mechanical vibrations at the junctions or valves. The exact solution of the FSI four-equation model by a Tijsseling model (Tijsseling, 2009) [1]. The resolution of this system of equations is done by the method of characteristics coupled with finite differences. The proposed model was tested by a comparison with the results of Ahmadi et al. (Ahmad and Ali, 2008) [2] validated with those of Heinsbroek.