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Abstract and Applied Analysis
Volume 2013, Article ID 490123, 6 pages
Research Article

The Fundamental Aspects of TEMOM Model for Particle Coagulation due to Brownian Motion—Part II: In the Continuum Regime

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China

Received 24 August 2013; Revised 13 November 2013; Accepted 3 December 2013

Academic Editor: Shuyu Sun

Copyright © 2013 He Qing and Xie Mingliang. 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.


The fundamental aspects of the Taylor-series expansion method of moment (TEMOM) model proposed to model the aerosol population balance equation due to Brownian coagulation in the continuum regime is shown in this study, such as the choice of the expansion point u, the relationship between asymptotic behavior and analytical solution, and the error of the high-order moment equations. All these analyses will contribute to the buildup of the theoretical system of the TEMOM model.