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Journal of Nanotechnology
Volume 2018 (2018), Article ID 1579431, 7 pages
Research Article

The Asymptotic Behavior of Particle Size Distribution Undergoing Brownian Coagulation Based on the Spline-Based Method and TEMOM Model

1Key Laboratory of Distributed Energy Systems of Guangdong Province, School of Chemical Engineering and Energy Technology, Dongguan University of Technology, Dongguan 523808, China
2State Key Laboratory of Coal Combustion, School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

Correspondence should be addressed to Qing He

Received 12 December 2017; Accepted 16 January 2018; Published 1 March 2018

Academic Editor: Yu Feng

Copyright © 2018 Qing He and Mingliang Xie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper, the particle size distribution is reconstructed using finite moments based on a converted spline-based method, in which the number of linear system of equations to be solved reduced from 4m × 4m to (m + 3) × (m + 3) for (m + 1) nodes by using cubic spline compared to the original method. The results are verified by comparing with the reference firstly. Then coupling with the Taylor-series expansion moment method, the evolution of particle size distribution undergoing Brownian coagulation and its asymptotic behavior are investigated.