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Volume 15, No. 6, November 2015, Pages 2475-2484 PDF(1.73 MB)  
doi: 10.4209/aaqr.2015.01.0012   

Verification of Expansion Orders of the Taylor-Series Expansion Method of Moment Model for Solving Population Balance Equations

Xiaotong Zhang1, Mingzhou Yu1,2, 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


  • 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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