摘要
针对旋转充液腔体的运动稳定性问题,本文考虑自旋速率范围较宽的情况。引入表示离心力与液体表面张力之比的常数C_f,以Stewartson—Wedemeyer理论和Murphy方法为基础,研究腔内液体晃动对共振不稳定频带的影响。结果表明只有当自旋速率较小,液体表面张力较大时,自由液面晃动对腔体运动稳定性才有明显影响;反之则可忽略自由液面晃动对腔体运动稳定性的影响。
To the problem of stability of rotating liquid-filled body, the situation with parameter value of spinning rate in wider range is considered in this paper. On the basis of Stewartson-Wedemeyer theory and Murphy method, a constant Cf representing the ratio of centrifugal force to liquid surface tension is introduced for studying the influence of liquid sloshing within the body to resonant instability frequency band. In conclusion, it is showed that only when spinning rate is very small and surface tension is very large, the effect of liquid sloshing on free surface to the stability of body is obvious. Conversely , this kind effect to the stability of body may be neglected.
出处
《应用力学学报》
CAS
CSCD
北大核心
1993年第3期9-18,共10页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
高等学校博士学科点专项科研基金
关键词
晃动
流体动力学
充液腔体
稳定性
liquid surface tension
liquid sloshing
resonant instability
yaw growth rate.
