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Collision efficiency of two nanoparticles with different diameters in Brownian coagulation

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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.

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Authors and Affiliations

  1. Institute of Fluid Measurement and Simulation, China Jiliang University, Hangzhou, 310018, P. R. China

    Yu-ming Wang  (王玉明)

  2. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou, 310027, P. R. China

    Jian-zhong Lin  (林建忠)

Authors
  1. Yu-ming Wang  (王玉明)
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  2. Jian-zhong Lin  (林建忠)
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Corresponding author

Correspondence to Jian-zhong Lin  (林建忠).

Additional information

Contributed by Jian-zhong LIN

Project supported by the National Natural Science Foundation of China (No. 10632070)

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Wang, Ym., Lin, Jz. Collision efficiency of two nanoparticles with different diameters in Brownian coagulation. Appl. Math. Mech.-Engl. Ed. 32, 1019–1028 (2011). https://doi.org/10.1007/s10483-011-1477-x

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  • DOI: https://doi.org/10.1007/s10483-011-1477-x

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Chinese Library Classification

2010 Mathematics Subject Classification

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