| 引用本文: | 王中伟.锥形液膜的Kelvin-Helmholtz扰动波.[J].国防科技大学学报,2008,30(3):32-36.[点击复制] |
| WANG Zhongwei.Kelvin-Helmholtz Perturbative Wave on Hollow Conical Liquid Sheets[J].Journal of National University of Defense Technology,2008,30(3):32-36[点击复制] |
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| 锥形液膜的Kelvin-Helmholtz扰动波 |
| 王中伟 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 为进行锥形液膜雾化过程分析，研究锥形液膜的Kelvin-Helmholtz稳定性问题，应用小扰动假设，建立了锥形液膜数学模型、轴对称扰动运动的控制方程和边界条件，采用分离变量法求解线性偏微分扰动方程组，经过严格的数学推导，得到了锥形液膜内外表面扰动波增长速率特征方程。当液膜锥角为零时，与环形液膜扰动波特征方程一致；当液膜锥角和液膜内径为零时，与圆射流扰动波特征方程一致，表明导出的锥形液膜扰波动方程是合理的。 |
| 关键词: 航空航天推进系统 雾化 扰动 特征方程 锥形液膜 扰动波增长速率 |
| DOI： |
| 投稿日期：2008-01-07 |
| 基金项目: |
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| Kelvin-Helmholtz Perturbative Wave on Hollow Conical Liquid Sheets |
| WANG Zhongwei |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Analytical study of wave growth on hollow conical liquid sheets was made. By using small wave amplitude model, the linearized perturbation equations of the liquid phase and the gas phase were solved. After some rather tedious algebraic manipulations, the characteristic equations relating the non-dimensional temporal growth rate of a disturbance on conical liquid sheets to the normalized wave numbers were obtained. The numbers are the generalization for the well-known cases of round cylindrical jets and the annular liquid sheets. The characteristic equations are the solid cornerstone of theoretical analysis of conical liquid sheets' atomization. |
| Keywords: aerospace propulsion system atomization perturbation characteristic equation conical liquid sheet wave growth rate |
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