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黏性分层流中椭球体俯仰振荡研究

熊英 关晖 吴锤结

熊英, 关晖, 吴锤结. 黏性分层流中椭球体俯仰振荡研究[J]. 应用数学和力学, 2018, 39(8): 900-912. doi: 10.21656/1000-0887.390041
引用本文: 熊英, 关晖, 吴锤结. 黏性分层流中椭球体俯仰振荡研究[J]. 应用数学和力学, 2018, 39(8): 900-912. doi: 10.21656/1000-0887.390041
XIONG Ying, GUAN Hui, WU Chuijie. Study on Prolate Spheroid Pitching Oscillation in Viscous Stratified Flow[J]. Applied Mathematics and Mechanics, 2018, 39(8): 900-912. doi: 10.21656/1000-0887.390041
Citation: XIONG Ying, GUAN Hui, WU Chuijie. Study on Prolate Spheroid Pitching Oscillation in Viscous Stratified Flow[J]. Applied Mathematics and Mechanics, 2018, 39(8): 900-912. doi: 10.21656/1000-0887.390041

黏性分层流中椭球体俯仰振荡研究

doi: 10.21656/1000-0887.390041
基金项目: 国家自然科学基金(11572350;11372068);国家重点基础研究发展计划(973计划)(2014CB-744104)
详细信息
    作者简介:

    熊英(1978—),女,博士生(E-mail: yxiong_2011@163.com);关晖(1970—),女,副教授(E-mail: guanhui70@163.com);吴锤结(1955—),男,教授(通讯作者. E-mail:cjwudut@dlut.edu.cn).

  • 中图分类号: O357.41

Study on Prolate Spheroid Pitching Oscillation in Viscous Stratified Flow

Funds: The National Natural Science Foundation of China(11572350;11372068);The National Basic Research Program of China(973 Program)(2014CB-744104)
  • 摘要: 以黏性密度分层流下椭球体自由俯仰振荡衰减过程为研究内容,建立了密度连续分层流数值计算模型.通过对经典小球黏性绕流场的数值模拟和增阻系数的计算验证了数值模型的正确性.以初始45°攻角下的椭球体俯仰振荡过程为研究对象,采用基于Aitken亚松弛适应算法的双向流固耦合方法,数值模拟了不同内Froude(弗汝德)数Fri下椭球体俯仰衰减振荡的动态绕流场.数值研究结果表明,俯仰振荡将上下搅动周围流体,在椭球体上下两侧对称形成四个密度涡环,密度的垂向分层限制了涡环的垂向传播,也加速了涡环的消失,这种限制助长了水平运动的发展,远场尾涡流场将以水平波动的形式传播.在较高的内Froude数Fri和Reynolds(雷诺)数Re下,双向耦合抑制了数值震荡.研究还发现,随着来流速度的增加,阻力系数不增反降,这说明,对于自由俯仰振荡的椭球体,负阻尼现象仍然会出现.
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出版历程
  • 收稿日期:  2018-01-24
  • 修回日期:  2018-05-25
  • 刊出日期:  2018-08-15

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