Comparing mathematical models of the monodisperse aerosol gravitational sedimentation based on the one-dimensional nonstationary diffusion equations and a discrete model

Authors: Tukmakov D.A.
Published in issue: #4(93)/2024
DOI:
Category: Physics | Chapter: Mathematical physics
Keywords: aerosol, dispersion, gravitational sedimentation, sedimentation, diffusion equation, mathematical simulation
Published: 16.09.2024

The paper presents results of simulating the processes in gravitational sedimentation of an aerosol consisting of particles of the same size. The study relevance is due to the need of using sedimentation of the dispersed phase of the gas-dispersed media in various practical applications. Diffusion mathematical models are constructed describing the particles’ sedimentation based on the one-dimensional non-stationary diffusion equations with and without taking into account the convective term. The work novelty lies in the fact that it compares mathematical models based on the partial differential equations and the discrete mathematical model. Without taking into account the convective term, gravitational sedimentation also occurs, but over a significantly longer period of time than when taking into account the convective term. A discrete mathematical model of the aerosol particle sedimentation is also obtained. Comparison demonstrates that the most intense sedimentation of the dispersed particles occurs according to the discrete sedimentation model.

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