Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow

A.K. Gilfanov^a∗ , R.R. Salakhov^a∗∗ , T.S. Zaripov^b∗∗∗

^a Kazan Federal University, Kazan, 420008 Russia

^b University of Brighton, Brighton, BN2 4AT England

E-mail: ^∗artur.gilfanov@kpfu.ru, ^∗∗ramms92@mail.ru, ^∗∗∗T.Zaripov2@brighton.ac.uk

Received March 23, 2020

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DOI: 10.26907/2541-7746.2020.2.120-136

For citation : Gilfanov A.K., Salakhov R.R., Zaripov T.S. Mathematical modeling of the dynamics of inertial polydisperse particles in a vortex flow. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2020, vol. 162, no. 2, pp. 120–136. doi: 10.26907/2541-7746.2020.2.120-136. (In Russian)

Abstract

The quadrature method of moments was used for solving the problem of modeling the dynamics of inertial polydisperse particles. Dispersed phase models that assumed particle distribution over size, mean velocity for all particles, and mean velocity conditioned by particle size were implemented. The comparison of the models was performed in the problem of moving evaporating particles in the vortex flow with using the Lagrangian approach as a reference method. The qualitative agreement of particle number density fields obtained by the methods of moments and the Lagranigan approach was demonstrated. It was shown that using models with two and three conditioned mean velocities results in the qualitative agreement of the mean size and variance fields obtained by the methods of moments and the Lagranigan approach.

Keywords: method of moments, polydisperse aerosol, vortex flow, inertial particles

Acknowledgments. The study was supported by the Russian Foundation for Basic Research (project no. 18-31-00387).

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