The mathematical model of pipeline system with pressure pulsation damper under force excitation by oscillating fluid flow

Abstract

The mathematical model of pipeline system with pressure pulsation damper under force excitation by oscillating fluid flow are developed. Pressure pulsation damper used in the model as a pipeline section with following features: mass per unit length and inertia moment of the damper cross-section more than mass per unit length and inertia moment of the pipe on one-two orders; the curvature of axial line very low; pressure and velocity pulsations in the damper are not produce its body vibration, or the vibrations less than pipe vibration on one order; the damper oscillations are consider like oscillations of rigid solid body. The mathematical model includes equations for vibroacoustical characteristics of the inlet and outlet sections; equations for dynamic of pressure pulsation damper; conditions for connection between damper and pipe; equations for distribution pulsations in space and time. The model allows to calculate acoustical, vibration and strength characteristics of pipeline system with pressure pulsation damper take into account fluid pulsation and vibration of pipe. The advantage of this model is interaction between alternating loading in a pipe and insertion attenuation of damper.