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物体垂直出入水的非定常空泡数学模型

陈玮琪 王宝寿 颜开 鲁海燕

陈玮琪, 王宝寿, 颜开, 鲁海燕. 物体垂直出入水的非定常空泡数学模型[J]. 应用数学和力学, 2013, 34(11): 1130-1140. doi: 10.3879/j.issn.1000-0887.2013.11.002
引用本文: 陈玮琪, 王宝寿, 颜开, 鲁海燕. 物体垂直出入水的非定常空泡数学模型[J]. 应用数学和力学, 2013, 34(11): 1130-1140. doi: 10.3879/j.issn.1000-0887.2013.11.002
CHEN Wei-qi, WANG Bao-shou, YAN Kai, LU Hai-yan. Model of the Unsteady Vertical Water-Entry and Water-Exit Cavities[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1130-1140. doi: 10.3879/j.issn.1000-0887.2013.11.002
Citation: CHEN Wei-qi, WANG Bao-shou, YAN Kai, LU Hai-yan. Model of the Unsteady Vertical Water-Entry and Water-Exit Cavities[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1130-1140. doi: 10.3879/j.issn.1000-0887.2013.11.002

物体垂直出入水的非定常空泡数学模型

doi: 10.3879/j.issn.1000-0887.2013.11.002
基金项目: 水动力学重点实验室基金资助项目(9140C220204110C2203);中国国家留学基金资助项目(2009832228)
详细信息
    作者简介:

    陈玮琪(1971—),男,湖南人,高级工程师,博士(通讯作者. E-mail: tiger-cwq@aliyun.com).

  • 中图分类号: O35;TV131.3+2

Model of the Unsteady Vertical Water-Entry and Water-Exit Cavities

  • 摘要: 研究了物体从水下向水面高速运动产生的非定常垂直空泡,建立了出水垂直空泡的数学模型,得到了匀速、空泡压力不变条件下的空泡外形、长度、体积随水深变化的解析解,给出了出水通气空泡发展为超空泡的条件.利用类似的方法建立了水平空泡和入水空泡的数学模型,并对3种空泡进行了比较研究.比较研究的结论是,随物体距水面的水深减小,出水空泡体积自身有增大趋势,空泡不容易发生泄气现象.且要保持出水空泡压力不变,空泡内的气体含量就应该增加(可通过人工通气方式).入水空泡正好相反,随物体入水深度增加,空泡体积自身有收缩的趋势,并挤压空泡内的气体从环境压力较低的空泡尾部喷射而出,导致空泡内的气体含量减少,空泡压力降低.但是当空泡压力低于环境压力后,空泡尾部又将被环境高压所封闭,气体喷射不出来.随着入水深度继续增加,空泡尾部将重复上述过程,形成周期性的喷射封闭喷射封闭的脉动过程,这个脉动喷射过程将在空泡尾部的流体中形成一连串小气泡,并由于空泡内的压力波动而导致空泡形状发生波动现象.
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出版历程
  • 收稿日期:  2013-05-20
  • 修回日期:  2013-06-25
  • 刊出日期:  2013-11-15

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