Wave Motion Analysis of a Non-Spinning Liquid Filled Cylinder

摘要

The results of a wave motion analysis of a partially liquid-filled, nonspinning cylinder are described. The analysis was undertaken to determine the internal fluid motion of a partially liquid-filled shell when subjected to large impulsive pressures. The high pressure levels are formed from the rupture of an internal burster tube. The primary concern is the determination of the endwall and sidewall pressure levels after the burster tube rupture. The final objective of this program is to develop a predictive capability which can be used for determining the effects of various liquids, ullages, and burster pressure levels. This report describes an initial analysis of the fluid motion inside a partially liquid-filled, non-spinning cylinder subject to a large impulsive pressure at one end. The analysis presented, tracks the pressure wave motion as a function of time and uses conservation of mass and momentum principles to determine the fluid properties in front of and behind the pressure waves. The results show the effect of initial pressure level and ullage on the resulting end wall and side wall pressures as a function of time. The peak end wall pressure is found to vary directly with the initial pressure level. The time duration of the maximum pressure acting on the end wall is a strong function of the ullage and to a lesser degree on the bulk modulus of the liquid.