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)†
State Key Laboratory for Turbulence and Complex Systems Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China
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.
Received: 15 March 2007
Revised: 20 August 2007
Accepted manuscript online:
Fund: 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).
Cite this article:
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) Correlation dimension analysis and capillary wave turbulence in Dragon-Wash phenomena 2008 Chin. Phys. B 17 637
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