Abstract:Pulsating internal flow is one of the important factors causing instability of piping system. For the annular flow, the influence of liquid velocity on the vibration characteristics should be not ignored, although there is huge velocity difference between the gas and liquid phase. In order to investigate the effect of pulsatile liquid phase on the nonlinear vibration of system, a lateral motion model has been established, and is then discretized by Galerkin approach The discretized equations are solved by 4th-Runge-Kutta iterative method. The natural frequencies, critical gas velocities, bifurcation and chaos are comprehensively analyzed to show the fundamental dynamical properties of the system. The results show that both the natural frequencies and the critical gas velocities decreased significantly with the increase of the superficial liquid velocity. Only Pitchfork bifurcation was observed without considering pulsation of liquid phase, and the bifurcation starting point decreased from 31.9m to 21.8m during the increase of superficial liquid velocity from 0.2m/s to 0.9m/s. Various vibration modes of the system were detected including the motions of periodic, almost periodic, and chaos for the condition of the liquid phase pulsation. The results of the study are of guidance for engineering.
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