中国物理B ›› 2004, Vol. 13 ›› Issue (10): 1623-1630.doi: 10.1088/1009-1963/13/10/008

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Surface waves in a vertically excited circular cylindrical container

菅永军1, 张杰2, 孟俊敏2, 鄂学全3   

  1. (1)First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China; Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China; (2)First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China; Key Laboratory of Marine Science and Numerical Modelling, State Ocean Administration, Qingdao 266061, China; (3)Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2003-11-13 修回日期:2004-05-25 出版日期:2004-10-20 发布日期:2005-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19772063, 19772068).

Surface waves in a vertically excited circular cylindrical container

Jian Yong-Jun (菅永军)ab, E Xue-Quan (鄂学全)b, Zhang Jie (张杰)ac, Meng Jun-Min (孟俊敏)ac   

  1. a First Institute of Oceanography, State Oceanic Administration, Qingdao 266061, China; b Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China; c Key Laboratory of Marine Science and Numerical Modelling, State Ocean Administration, Qingdao 266061, China
  • Received:2003-11-13 Revised:2004-05-25 Online:2004-10-20 Published:2005-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19772063, 19772068).

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摘要： The nonlinear free surface amplitude equation, which has been derived from the inviscid fluid by solving the potential equation of water waves with a singular perturbation theory in a vertically oscillating rigid circular cylinder, is investigated successively in the fourth-order Runge－Kutta approach with an equivalent time-step. Computational results include the evolution of the amplitude with time, the characteristics of phase plane determined by the real and imaginary parts of the amplitude, the single-mode selection rules of the surface waves in different forced frequencies, contours of free surface displacement and corresponding three-dimensional evolution of surface waves, etc. In addition, the comparison of the surface wave modes is made between theoretical calculations and experimental measurements, and the results are reasonable although there are some differences in the forced frequency.

关键词: vertically forced oscillation, nonlinear amplitude equation, phase-plane, surface wave modes

Abstract: The nonlinear free surface amplitude equation, which has been derived from the inviscid fluid by solving the potential equation of water waves with a singular perturbation theory in a vertically oscillating rigid circular cylinder, is investigated successively in the fourth-order Runge－Kutta approach with an equivalent time-step. Computational results include the evolution of the amplitude with time, the characteristics of phase plane determined by the real and imaginary parts of the amplitude, the single-mode selection rules of the surface waves in different forced frequencies, contours of free surface displacement and corresponding three-dimensional evolution of surface waves, etc. In addition, the comparison of the surface wave modes is made between theoretical calculations and experimental measurements, and the results are reasonable although there are some differences in the forced frequency.

Key words: vertically forced oscillation, nonlinear amplitude equation, phase-plane, surface wave modes

中图分类号:  (Hydrodynamic waves)

  • 47.35.-i