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The fundamental aspects of TEMOM model for particle coagulation due to Brownian motion. II: In the continuum regime. (English) Zbl 1381.82011

Summary: 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.
For Part I, see [the authors, “The fundamental aspects of TEMOM model for particle coagulation due to Brownian motion. I: In the free molecule regimes”, Int. J. Heat Mass Transfer 70, 1115–1120 (2014; doi:10.1016/j.ijheatmasstransfer.2013.11.026)].

MSC:

82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
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