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对冲圆射流生成径向扩张液膜研究

王志亮 林松飘 周哲玮

王志亮, 林松飘, 周哲玮. 对冲圆射流生成径向扩张液膜研究[J]. 应用数学和力学, 2010, 31(8): 891-900. doi: 10.3879/j.issn.1000-0887.2010.08.001
引用本文: 王志亮, 林松飘, 周哲玮. 对冲圆射流生成径向扩张液膜研究[J]. 应用数学和力学, 2010, 31(8): 891-900. doi: 10.3879/j.issn.1000-0887.2010.08.001
WANG Zhi-liang, S. P. Lin, ZHOU Zhe-wei. Formation of Radially Expanding Liquid Sheet by Impinging Two Round Jets[J]. Applied Mathematics and Mechanics, 2010, 31(8): 891-900. doi: 10.3879/j.issn.1000-0887.2010.08.001
Citation: WANG Zhi-liang, S. P. Lin, ZHOU Zhe-wei. Formation of Radially Expanding Liquid Sheet by Impinging Two Round Jets[J]. Applied Mathematics and Mechanics, 2010, 31(8): 891-900. doi: 10.3879/j.issn.1000-0887.2010.08.001

对冲圆射流生成径向扩张液膜研究

doi: 10.3879/j.issn.1000-0887.2010.08.001
基金项目: 国家自然科学基金资助项目(10702038;10772107);上海市科学技术委员会资助项目(09DZ1141502);美国国家自然科学基金资助项目(CTS-0138057);上海市重点学科建设项目(Y0103)
详细信息
    作者简介:

    王志亮(1974- ),男,湖北麻城人,博士(联系人.E-mai:lwng-zh@shu.edu.cn).

  • 中图分类号: O357

Formation of Radially Expanding Liquid Sheet by Impinging Two Round Jets

  • 摘要: 采用两股互相冲击的圆射流可以形成环形的液体薄膜,液膜在径向扩展到一定的临界半径距离会破碎.数值模拟了液膜在周围气体中形成和破碎的非定常过程.考虑了液体和气体都是不可压缩Newton流体的轴对称问题.液体和气体的界面采用Level set函数来跟踪,Navier-Stokes 控制方程和物理边界条件采用有限差分格式离散求解.计算结果给出了环形液体薄膜形成并在其环形边缘处破碎,并缓慢运动的过程.液膜的厚度随着液膜在轴向的扩展会逐渐变薄,因此定义的局部Weber数会在径向逐渐减小,这里的局部Weber数定义为ρu2h/σ,其中ρ和σ分别为液体的密度和界面的张力,u和h分别为在径向某个位置的液膜的平均径向速度和半液膜厚度.数值结果表明就像实验中所观察到的那样,液膜径向扩展的过程的确会在局部Weber数趋向于1的时候终结而停止扩张.根据空间-时间线性稳定性理论,液膜的破碎最初是由正弦模式在临界局部Weber数Wec=1引起的,在临界局部Weber数小于1时会发生绝对不稳定性.在线性理论中另一个独立的模式,所谓的余弦模式,则增长比正弦模式要慢,从而会推测到正弦模式主导破碎的结论.然而,这里的数值结果却表明,余弦模式在界面波的非线性发展阶段实质的超越了正弦模式的增长,并对液膜的最终阶段的破碎起主导作用.这验证了线性理论只能够对触发时扰动波的性质进行预测,而对失稳后情况和结果的预测则不一定正确.
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出版历程
  • 收稿日期:  1900-01-01
  • 修回日期:  2010-06-01
  • 刊出日期:  2010-08-15

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