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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (7): 851-860.doi: https://doi.org/10.1007/s10483-010-1319-6

• Articles • 上一篇    下一篇

New expression for collision efficiency of spherical nanoparticles in Brownian coagulation

陈忠利1 游振江2   

  1. 1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China;
    2. Australian School of Petroleum, University of Adelaide, SA 5005, Australia
  • 收稿日期:2010-04-18 修回日期:2010-05-30 出版日期:2010-07-01 发布日期:2010-07-01

New expression for collision efficiency of spherical nanoparticles in Brownian coagulation

CHEN Zhong-Li1, YOU Zhen-Jiang2   

  1. 1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China;
    2. Australian School of Petroleum, University of Adelaide, SA 5005, Australia
  • Received:2010-04-18 Revised:2010-05-30 Online:2010-07-01 Published:2010-07-01

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被引次数

13

摘要： The collision efficiency of dioctyl phthalate nanoparticles in Brownian coagulation has been studied. A set of collision equations is solved numerically to find the relationship between the collision efficiency and the particle radius varying in the range of 50 nm to 500 nm in the presence of Stokes resistance, lubrication force, van der Waals force, and elastic deformation force. The calculated results are in agreement with the experimental data qualitatively. The results show that the collision efficiency decreases with the increase of the particle radii from 50 nm to 500 nm. Based on the numerical data, a new expression for collision efficiency is presented.

Abstract: The collision efficiency of dioctyl phthalate nanoparticles in Brownian coagulation has been studied. A set of collision equations is solved numerically to find the relationship between the collision efficiency and the particle radius varying in the range of 50 nm to 500 nm in the presence of Stokes resistance, lubrication force, van der Waals force, and elastic deformation force. The calculated results are in agreement with the experimental data qualitatively. The results show that the collision efficiency decreases with the increase of the particle radii from 50 nm to 500 nm. Based on the numerical data, a new expression for collision efficiency is presented.

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