Testing Methods for Calculating Particle Coagulation and Settling in an Aerosol Module

Sorokin, A. A.; Atesh, A. G.

doi:10.1007/s10512-016-0098-7

Cited by 1 publication

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References 7 publications

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“…From a mathematical point of view, the existing model is a nonlinear integrodifferential equation developed from the group equilibrium equation, so determining the approximate solution or the exact solution for aerosol particle size distribution is a very basic task. Many researchers all over the world have carried out scientific calculations and experiments related to aerosol condensation dynamics [3][4][5][6][7][8][9][10][11][12][13]. However, conventional scientific calculations have some faults (such as numerical errors and the inability to carry out continuous quantitative factor analysis) and no single algorithm is generally applicable.…”

Section: Introductionmentioning

confidence: 99%

Symmetries and Invariant Solutions for the Coagulation of Aerosols

Mingliang

2021

Mathematics

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The coagulation of aerosol particles plays an important role in the structural morphological changes of suspended particles at any time and in any space. In this study, based on the Smoluchowski equation of population balance, a kinetic model of aerosol coalescence considering Brownian motion collision is established. By applying the developed Lie group method, we derive the allowed infinitesimal symmetries and group-invariant solutions of the integro-differential equation, as well as the exact solution under some special conditions. We also provide detailed steps and a discussion of the properties. The content and results provide an effective analytic solution for the progressive evolution of aerosol particle size considering boundary and initial conditions. This solution reveals the self-conservative phenomena in the process of aerosol coalescence and also provides validation for the numerical algorithms of general dynamics equations.

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Section: Introductionmentioning

confidence: 99%

Symmetries and Invariant Solutions for the Coagulation of Aerosols

Mingliang

2021

Mathematics

View full text Add to dashboard Cite

show abstract

Testing Methods for Calculating Particle Coagulation and Settling in an Aerosol Module

Cited by 1 publication

References 7 publications

Symmetries and Invariant Solutions for the Coagulation of Aerosols

Symmetries and Invariant Solutions for the Coagulation of Aerosols

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