| 轴对称液体射流的Hamilton表述 |
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| 引用本文： | 李植. 轴对称液体射流的Hamilton表述[J]. 力学学报, 2007, 39(4): 449-454. DOI: 10.6052/0459-1879-2007-4-2005-508 |
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| 作者姓名： | 李植 |
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| 作者单位： | 北京大学湍流与复杂系统国家重点实验室, 工学院力学与空天技术系 |
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| 摘 要： | 证明带有自由面的轴对称液体圆射流和环状射流的控制方程在有势运动的情况下具有Hamilton结构, 其Hamilton函数为射流的总能量, 并给出正则变量的表达式.
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| 关 键 词： | 流体力学的Hamilton变分原理 正则变量 圆射流 环状射流 液膜 |
| 文章编号： | 0459-1879（2007）04-0449-06 |
| 收稿时间： | 2005-10-13 |
| 修稿时间： | 2005-10-132007-02-26 |
HAMILTONIAN FORMULATION OF AXISYMMETRICAL LIQUID JETS |
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| Li Zhi. HAMILTONIAN FORMULATION OF AXISYMMETRICAL LIQUID JETS[J]. chinese journal of theoretical and applied mechanics, 2007, 39(4): 449-454. DOI: 10.6052/0459-1879-2007-4-2005-508 |
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| Authors: | Li Zhi |
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| Affiliation: | State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Department of Mechanics and Aerospace Engineering, Peking University, Beijing 100871, China |
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| Abstract: | It is shown that the governing equations describing the potential motion of axisymmetrical liquid jets have a Hamiltonian structure. Round and annular jets are discussed. The Hamiltonian is the total energy of the jet, and the expressions for the canonical variables are given. |
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| Keywords: | Hamiltonian variational principle in fluid mechanics canonical variables round jet annular jet liquid sheet |
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