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

Category: Drug Delivery and Aerosol Physics

Volume: 15 | Issue: 6 | Pages: 2475-2484
DOI: 10.4209/aaqr.2015.01.0012
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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

Highlights

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


Abstract

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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