| Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena |
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| 作者姓名： | 彭怀午 李睿劬 陈松泽 李存标 |
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| 作者单位： | State Key Laboratory for Turbulence and Complex Systems
Department of Mechanics and Aerospace Engineering, College of
Engineering, Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex Systems
Department of Mechanics and Aerospace Engineering, College of
Engineering, Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex Systems
Department of Mechanics and Aerospace Engineering, College of
Engineering, Peking University, Beijing 100871, China;State Key Laboratory for Turbulence and Complex Systems
Department of Mechanics and Aerospace Engineering, College of
Engineering, Peking University, Beijing 100871, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No 10087101) and the
National Science Fund for Distinguished Young Scholars (Grant No
10525208). |
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| 摘 要： | This paper describes the evolution of surface capillary waves of deep water excited by gradually increasing the lateral external force at a single frequency. The vertical velocities of the water surface are measured by using a Polytec Laser Vibrometer with a thin layer of aluminium powder scattering on the surface to reflect the laser beam. Nonlinear interaction processes result in a stationary Fourier spectrum of the vertical surface velocities （the same as the surface elevation）, i.e. Iω -ω^-3-5. The observed spectrum can be interpreted as a wave-turbulent Kolmogorov spectrum for the case of ‘narrowband pumping＇ for a direct cascade of energy. Correlation dimension analysis of the whole development process reveals four distinct stages during the wave structure development and identifies the wave turbulence stage.
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| 关 键 词： | 表面张力波 波动 关联系数 龙卷风现象 |
| 收稿时间： | 2007-03-15 |
| 修稿时间： | 2007-08-20 |
Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena |
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| Peng Huai-Wu,Li Rui-Qu,Chen Song-Ze and Li Cun-Biao.Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena[J].Chinese Physics B,2008,17(2):637-643. |
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| Authors: | Peng Huai-Wu Li Rui-Qu Chen Song-Ze and Li Cun-Biao |
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| Institution: | State Key Laboratory for Turbulence and Complex Systems
Department of Mechanics and Aerospace Engineering, College of
Engineering, Peking University, Beijing 100871, China |
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| Abstract: | This paper describes the evolution of surface capillary waves of deep
water excited by gradually increasing the lateral external force at a
single frequency. The vertical velocities of the water surface are
measured by using a Polytec Laser Vibrometer with a thin layer of
aluminium powder scattering on the surface to reflect the laser beam.
Nonlinear interaction processes result in a stationary Fourier
spectrum of the vertical surface velocities (the same as the surface
elevation), i.e. $I_\omega \sim \omega ^{ - 3.5}$. The observed
spectrum can be interpreted as a wave-turbulent Kolmogorov spectrum
for the case of `narrowband pumping' for a direct cascade of energy.
Correlation dimension analysis of the whole development process
reveals four distinct stages during the wave structure development
and identifies the wave turbulence stage. |
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| Keywords: | capillary wave wave turbulence correlation dimension |
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