Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (8): 1019-1028.doi: https://doi.org/10.1007/s10483-011-1477-x

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Collision efficiency of two nanoparticles with different diameters in Brownian coagulation

 WANG Yu-Ming1, LIN Jian-Zhong1,2   

  1. 1. Institute of Fluid Measurement and Simulation, China Jiliang University, Hangzhou 310018, P. R. China;
    2. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China
  • Online:2011-08-20 Published:2011-08-20

Abstract: The collision efficiency of two nanoparticles with different diameters in the Brownian coagulation is investigated. The collision equations are solved to obtain the collision efficiency for the dioctyl phthalate nanoparticle with the diameter changing from 100 nm to 750 nm in the presence of the van der Waals force and the elastic deformation force. It is found that the collision efficiency decreases as a whole with the increase of both the particle diameter and the radius ratio of two particles. There exists an abrupt increase in the collision efficiency when the particle diameter is equal to 550 nm. Finally, a new expression is presented for the collision efficiency of two nanoparticles with different diameters.

2010 MSC Number: 

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