Analysis of Particulate Systems with Numerical Inverse Laplace Transform

被引：0

作者：

Batista, Clauderino da Silva ^{[1
]}

Miyagawa, Helder Kiyoshi ^{[1
]}

Macedo, Emanuel Negrao ^{[1
]}

Quaresma, Joao Nazareno Nonato ^{[1
]}

Orlande, Helcio Rangel Barreto ^{[2
]}

机构：

[1] Fed Univ Para, Sch Chem Engn, UFPA, Campus Guama,Rua Augusto Correa 01, BR-66075110 Belem, PA, Brazil

[2] Univ Fed Rio de Janeiro, Mech Engn Dept, Lab Transmiss & Technol Heat, BR-21945970 Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS | 2023年 / 9卷 / 04期

关键词：

Aerosol modeling; Numerical inversion of the Laplace transform; Particle size distribution; POPULATION BALANCE EQUATION; MODEL; AGGREGATION; COAGULATION; SIMULATION; DYNAMICS; GROWTH;

D O I：

10.22055/jacm.2023.42310.3906

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The technique of numerical inversion of the Laplace transform is applied to solve the population balance equation (PBE). The model considers the dispersed phase systems in which nucleation and heterogeneous condensation are present. The studied phenomena model corresponds to a nonlinear integro-partial-differential equation. Test cases are solved considering two different collision mechanisms, the first-order removal mechanism and the effect of simultaneous coagulation and growth. Numerical results are compared with the analytical solution and with the literature. Based on these results, the technique applied in this work demonstrates to be a tool to solve problems in particulate systems, particularly for aerosol modeling where coagulation is the most important inter-particle mechanism affecting the size distribution.

引用

页码：926 / 934

页数：9

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