Direct expansion method of moments for nanoparticle Brownian coagulation in the entire size regime

Chen, Zhongli; Lin, Jianzhong; Yu, Maoqun

doi:10.1016/j.jaerosci.2013.08.011

Cited by 13 publications

(8 citation statements)

References 27 publications

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“…The TEMOM exhibits a huge potential to achieve the time-dependent analytical solution for the PBE due to its very simple mathematical structure of equations (Chen et al, 2014b;Xie et al, 2012;Yu et al, 2011;Yu & Lin, 2009a, 2009b. The key of the TEMOM is that fractal moments in the ordinary differential equations (ODEs) for moments can be replaced by the following expression (Yu et al, 2008a(Yu et al, , 2008b:…”

Section: Introductionmentioning

confidence: 99%

A new analytical solution for solving the population balance equation in the continuum-slip regime

Zhang

Jin

et al. 2015

Journal of Aerosol Science

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Section: Introductionmentioning

confidence: 99%

A new analytical solution for solving the population balance equation in the continuum-slip regime

Zhang

Jin

et al. 2015

Journal of Aerosol Science

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“…Nevertheless, the initial form of the particle size distribution should be assumed to obtain the closure of the moment equations, and it is difficult to give particle size distributions. Moreover, it becomes complicated and difficult when solving multi-component particle systems using the MOM and SM [20][21][22]. While the MC method is relatively straightforward for solving the complex multidimensional and multicomponent particle systems, it is also easy to find the internal information and the historical trajectory of the aerosols [23,24].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Droplet Aerosol Coagulation, Condensation/Evaporation and Deposition Processes

et al. 2022

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The differentially weighted operator-splitting Monte Carlo (DWOSMC) method is further developed to describe the droplet aerosol dynamic behaviors, including coagulation, deposition, condensation, and evaporation processes. It is first proposed that the droplet aerosols will experience firstly condensation and then evaporation, and this phenomenon is first implemented into the Monte Carlo method and sectional method with considering coagulation, deposition, and condensation/evaporation processes in both single-component and two-component aerosol particle systems. It is found that the calculated results of the DWOSMC method agree well with both the analytical solutions and the sectional method. The further developed DWOSMC method can predict the variation of particle number density, total particle volume, mean particle diameter, particle size distributions, and the component-related particle volume densities in both single component and two-component droplet aerosol systems considering coagulation, deposition, and condensation/evaporation processes.

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“…The number of equations in the TEMOM is identical to the number of objective variables, and no additional calculation for determining weights and abscissas is required. The TEMOM has been verified as a competitive method in terms of both efficiency and accuracy compared with its competitors, including the QMOM and log MM, and it has also shown rapid development in nearly the past eight years (Yu and Lin 2009a,b;Xie et al 2012;Xie and He 2013;Chen et al 2014;Xie 2015;Yu et al 2015a,b). Other methods similar to the QMOM and TEMOM are also available for solving the PBE.…”

Section: Introductionmentioning

confidence: 99%

“…However, this has not been investigated in previous studies. Recently, we used the direct Taylor expansion technique to achieve a closure of ordinary differential moment equations by using a fractional moment sequence and observed that a higher accuracy can be achieved compared to the existing TEMOM (Chen et al 2014). However, in this method, the process of numerically obtaining a derivation with various orders is associated with a high computational cost; its realistic application is thus limited.…”

Section: Introductionmentioning

confidence: 99%

Generalized TEMOM Scheme for Solving the Population Balance Equation

Liu

Lin

et al. 2015

Aerosol Science and Technology

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This article proposes a novel generalized Taylor expansion method of moments (TEMOM) scheme for solving the population balance equation. The proposed scheme can completely overcome the shortcoming of the existing TEMOM and substantially improve the accuracy for both integer and fractional moments. In the generalized TEMOM, the optimal number of equations is 2fC1, where f is an integer greater than zero. The existing TEMOM is a special case of the generalized TEMOM when f is 1. The generalized TEMOM was tested for aerosols undergoing Brownian coagulation in the continuum regime, and it was verified to achieve nearly the same accuracy as the quadrature method of moments (QMOM) with a fractional moment sequence, and higher accuracy than the QMOM with an integer moment sequence. Regarding accuracy and efficiency, the generalized TEMOM scheme was verified to be a competitive method for solving the population balance equation.

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Direct expansion method of moments for nanoparticle Brownian coagulation in the entire size regime

Cited by 13 publications

References 27 publications

A new analytical solution for solving the population balance equation in the continuum-slip regime

A new analytical solution for solving the population balance equation in the continuum-slip regime

Numerical Modeling of Droplet Aerosol Coagulation, Condensation/Evaporation and Deposition Processes

Generalized TEMOM Scheme for Solving the Population Balance Equation

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