Xiaotong Zhang1, Mingzhou Yu 1,2, Yueyan Liu1, Martin Seipenbusch3

  • 1 China Jiliang University, Hangzhou 310018, China
  • 2 Key Laborary of Aerosol Chemsitry and Physics, Chinese Acadmy of Science, Xi’an, China
  • 3 Institut für Chemische Verfahrenstechnik, Universität Stuttgart, Stuttgart 70199, Germany

Received: January 28, 2015
Revised: April 12, 2015
Accepted: June 9, 2015
Download Citation: ||https://doi.org/10.4209/aaqr.2015.01.0012  

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Cite this article:
Zhang, X., Yu, M., Liu, Y. and Seipenbusch, M. (2015). Verification of Expansion Orders of the Taylor-Series Expansion Method of Moment Model for Solving Population Balance Equations. Aerosol Air Qual. Res. 15: 2475-2484. https://doi.org/10.4209/aaqr.2015.01.0012


  • A fourth-order TEMOM was derived for agglomerates undergoing Brownian coagulation.
  • The third-order TEMOM model was verified as the most ideal model.



We verified the effect of the Taylor expansion order on the accuracy of the Taylor-series expansion method of moment (TEMOM) model in both the free molecular and continuum-slip regimes. The ordinary differential equations for moments with fourth-order Taylor expansion were first derived for fractal-like agglomerates, which were further compared to the existing TEMOM model with third-order Taylor expansion. We confirmed that the TEMOM model with a fourth-order Taylor expansion is less accurate than that with a third-order Taylor expansion. Moreover, the scope of application of the TEMOM model with a fourth-order Taylor expansion is limited. The existing TEMOM model with a third-order Taylor expansion was verified as the most reliable model for solving population balance equations for agglomerates undergoing Brownian coagulation.

Keywords: Agglomerate; Taylor-series expansion method of moment; Population balance equation

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