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本文分析并计算了半充液球形贮箱内的液体晃动问题。以流体运动的基本方程和系统运动的Euler方程为基础,用特征函数展开法计算出液体的速度场,并在此基础上估算液体的能量耗散率及章动角的时间常数。
This paper analyzes and calculates the problem of liquid sloshing in a semi-filled spherical tank. Based on the basic equations of fluid motion and the Euler equations of system motion, the velocity field of the liquid is calculated by the eigenfunction expansion method. Based on this, the energy dissipation rate and the time constant of the nutation angle are estimated.