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Viscous Damping Ratio of Low-Gravity Sloshing in Arbitrary Axisymmetric Tanks

机译:任意轴对称储罐中低重力晃荡的粘性阻尼比

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摘要

A review of earlier studies in the area of sloshing shows that, although there are extensive studies on the main flow analysis, theoretical investigations of viscous damping are scarce, especially for arbitrary axisymmetric tanks. In this paper, an analytical method for calculating the viscous damping ratio of low-gravity sloshing in arbitrary axisymmetric tanks is presented, and its dependence on the Bond number and the filling level is examined. Using two systems of spherical coordinates, an analytical expression of bidirectional flow in the boundary layer is derived. By substituting this expression into the virtual work expression of the Navier-Stokes equations' viscous terms, the modal damping term is determined. It is shown that as the Bond number decreases the damping ratio increases, due to prolongation of the natural period rather than to increase in the damping coefficient A notable finding is that for high filling levels the damping coefficient decreases with decreasing Bond number, unlike the damping ratio. The reason for this is explained by introducing a correlation parameter whose Bond number dependence is similar to that of the damping coefficient The analysis is verified by comparing with earlier experimental results.
机译:对晃荡领域早期研究的回顾表明,尽管对主流分析进行了广泛研究,但对粘性阻尼的理论研究却很少,特别是对于任意轴对称储罐。本文提出了一种解析方法,用于计算任意轴对称储罐中低重力晃荡的粘性阻尼比,并研究其对键数和填充量的依赖性。使用两个球坐标系,导出边界层中双向流动的解析表达式。通过将该表达式代入Navier-Stokes方程粘性项的虚拟功表达式,可以确定模态阻尼项。结果表明,随着键合数的减少,阻尼比增加,这是由于自然周期的延长而不是阻尼系数的增加。一个值得注意的发现是,对于高填充量,阻尼系数随着键合数的减少而降低,这与阻尼不同。比。通过引入一个相关参数来解释其原因,该参数的键数依赖性与阻尼系数的相关性相似。通过与早期实验结果进行比较来验证分析结果。

著录项

  • 来源
    《Journal of Spacecraft and Rockets》 |2013年第4期|807-815|共9页
  • 作者

    M. Utsumi;

  • 作者单位

    IHI Corporation, Yokohama 235-8501, Japan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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