中国物理B ›› 2008, Vol. 17 ›› Issue (2): 637-643.doi: 10.1088/1674-1056/17/2/046

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena

彭怀午, 李睿劬, 陈松泽, 李存标   

  1. State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
  • 收稿日期:2007-03-15 修回日期:2007-08-20 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    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).

Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena

Peng Huai-Wu(彭怀午), Li Rui-Qu(李睿劬), Chen Song-Ze(陈松泽), and Li Cun-Biao(李存标)†   

  1. State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
  • Received:2007-03-15 Revised:2007-08-20 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    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. $I_\omega \sim \omega ^{ - 3.5}$. 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.

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.

Key words: capillary wave, wave turbulence, correlation dimension

中图分类号:  (Capillary waves)

  • 47.35.Pq
47.27.-i (Turbulent flows) 47.80.Cb (Velocity measurements)