双储箱液体自衰减晃动分析

航天器在轨运行过程中，液体燃料晃动是破坏航天器稳定性、威胁航天任务安全性的主要因素之一.为此，有必要对液体燃料晃动进行研究.自衰减晃动是一种常见的液体晃动.本文主要针对双并联圆柱形储箱内液体自衰减晃动动态特性进行研究，以有限体积法为计算方法，采用两相层流模型，分析了不同重力环境下，液体燃料晃动对储箱侧壁面及底面作用的晃动力、力矩和波高随时间变化的特性，进而计算出液体晃动等效力学模型的相关参数.采用解析法推导了等效力学模型参数的计算公式，将有限体积法所得仿真解与解析解进行对比分析，证明了双储箱液体晃动仿真计算的可行性，为携带多储箱充液航天器的动力学分析提供了一定的理论基础. 

Analyses on Self-reduce Liquid Sloshing in Double Tank

Researches have shown that when spacecraft is in orbit, liquid fuel sloshing is one of the main factors that destroy the stability of spacecraft and threaten the safety of space missions. It is necessary to take research on liquid sloshing. Self-reduce sloshing is common in spaceflight missions, which is more complex than enforced sloshing. In this paper, the self-reduce sloshing characters of liquid fuel in the double parallel tanks are studied by FLUENT software and calculation formulas. Based on the Finite Volume Method and the two-phase laminar flow model, the effects of sloshing force, torque and wave height which liquid fuel acts on the tank's side wall and bottom wall under different gravities are analyzed. Each force and torque acts on side wall and bottom wall can be divided into horizontal and vertical direction, and components on both directions are obtained. The parameters of liquid sloshing equivalent model are calculated. The calculation formula of parameters of equivalent dynamic model is derived by analyzing method. By comparing the simulation results and analytical solutions, the feasibility of the simulation calculation is proved. The simulation method would provide a theoretical basis for dynamic analysis of spacecraft with multiple storage tanks.