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