Error estimation of TEMOM for Brownian coagulation. Issue 9 (1st September 2016)

• Record Type: Journal Article
• Authors: Xie, Mingliang
• Is Part Of: Aerosol science and technology. Volume 50:Issue 9(2016)
• Page Start: 919
• Page End: 925
• Publication Date: 2016-09-01
• Subjects: Nicole Riemer; Aerosols -- Periodicals; Aerosol Propellants -- Periodicals; Aerosols -- Periodicals; 660.294515
• DOI: 10.1080/02786826.2016.1207058
• Languages: English
• ISSNs: 0278-6826

Abstract

ABSTRACT: In the present study, the error estimation of Taylor series expansion method of moment (TEMOM) for particle population balance equation due to Brownian coagulation is proposed. The app-roximation introduced by Taylor series polynomials has two parts: one is the approximation of nonlinear collision kernel, and the other is the approximation of higher and fractional particle moment. The results show that the two kinds of errors have the same order in the original TEMOM model, which is related to the third derivative of collision kernel and the first four integer order particle moments, i.e., M 0, M 1, M 2, and M 3 . Based on the lognormal size distribution assumption, the system errors are obtained for different TEMOM models due to Brownian coagulation; and all the errors are small and acceptable. The results have confirmed the validity of TEMOM model. Copyright © 2016 American Association for Aerosol Research