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A collision model for a large number of particles with significantly different sizes

N Zhang et al 2007 J. Phys. D: Appl. Phys. 40 2603-2612   doi: 10.1088/0022-3727/40/8/027  Help

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N Zhang and Z C Zheng1
Department of Mechanical and Nuclear Engineering, Kansas State University, Manhattan, KS 66506-5205, USA
1 Author to whom any correspondence should be addressed.
E-mail: zzheng@ksu.edu

Abstract. A collision model, modified from the Smoluchowski model, is developed for simulating coagulation and growth of a large number of aerosol particles with significantly different sizes. In this collision model, the particle-size distribution is discretized in volume bins, and the total mass among all the bins is conserved. In situations with significantly different particle sizes, the present model reduces the number of bins compared with the previous models, thus reducing the computational cost. By comparing the results of the present model with the exact solution of Smoluchowski's original model, the accuracy of the solution is not sacrificed. Therefore, this model enables the real-time simulation of three-dimensional, two-phase flow when flow/particle interactions need to be considered. After implementation with a flow solver, the model is further validated with the data from a smoke-reduction experiment in a room-scale chamber using flow-injected nanoparticle aggregates.

Print publication: Issue 8 (21 April 2007)
Received 10 August 2006, in final form 9 February 2007
Published 4 April 2007

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