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Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (12): 1433-1438.doi: https://doi.org/10.1007/s10483-013-1757-x

• 论文 •    下一篇

Concentration of nitrogen molecules needed by nitrogen nanobubbles existing in bulk water

张萌1,2 涂育松2 方海平1   

  1. 1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, P. R.China;
    2. Institute of Systems Biology, Shanghai University, Shanghai 200444, P. R. China;
    3. University of the Chinese Academy of Sciences, Beijing 100049, P. R. China
  • 收稿日期:2012-08-12 修回日期:2013-05-07 出版日期:2013-11-29 发布日期:2013-11-29

Concentration of nitrogen molecules needed by nitrogen nanobubbles existing in bulk water

 ZHANG Meng1,2, TU Yu-Song2, FANG Hai-Ping1   

  1. 1. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, P. R.China;
    2. Institute of Systems Biology, Shanghai University, Shanghai 200444, P. R. China;
    3. University of the Chinese Academy of Sciences, Beijing 100049, P. R. China
  • Received:2012-08-12 Revised:2013-05-07 Online:2013-11-29 Published:2013-11-29

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摘要： This paper investigates the stability of nitrogen nanobubbles under different concentrations of nitrogen molecules by molecular dynamics simulations. It is found that the stability of nanobubbles is very sensitive to the concentration of nitrogen molecules in water. A sharp transition between disperse states and assemble states of nitrogen molecules is observed when the concentration of nitrogen molecules is changed. The relevant critical concentration of nitrogen molecules needed by the existing nitrogen nanobubbles is analyzed.

关键词: nanobubble, concentration, stability

Abstract: This paper investigates the stability of nitrogen nanobubbles under different concentrations of nitrogen molecules by molecular dynamics simulations. It is found that the stability of nanobubbles is very sensitive to the concentration of nitrogen molecules in water. A sharp transition between disperse states and assemble states of nitrogen molecules is observed when the concentration of nitrogen molecules is changed. The relevant critical concentration of nitrogen molecules needed by the existing nitrogen nanobubbles is analyzed.

Key words: pipe conveying fluid, internal resonance, stability, bifurcation, nanobubble, concentration, stability

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