Geodesic
Modeling the inertial deposition of aerosol particles in a mixed-type filter
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 262-272

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This article presents a mathematical model that describes the movement of suspended aerosol particles in a mixed-type filter. For the carrier medium, a model of incompressible fluid flow in a porous periodic element consisting of many cylinders with diameters in the nano- and micrometer range was adopted. The Stokes boundary value problem for the flow function was solved using the boundary element method. The efficiency of the deposition of suspended particles was determined by calculating their trajectories in the identified velocity field of the carrier medium. For various ratios of mass fractions of nano- and microfibers, the dependences of the deposition efficiency due to the inertial impact and interception mechanism on the Stokes number were found.
Keywords: aerosol filter, inertial deposition, Lagrangian equations of particle motion, Runge–Kutta method, Stokes number. 
@article{UZKU_2024_166_2_a9,
     author = {D. A. Safin and Sh. Kh. Zaripov and R. F. Mardanov and E. A. Kosterina},
     title = {Modeling the inertial deposition of aerosol particles in a mixed-type filter},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {262--272},
     publisher = {mathdoc},
     volume = {166},
     number = {2},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a9/}
}
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D. A. Safin; Sh. Kh. Zaripov; R. F. Mardanov; E. A. Kosterina. Modeling the inertial deposition of aerosol particles in a mixed-type filter. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 166 (2024) no. 2, pp. 262-272. http://geodesic.mathdoc.fr/item/UZKU_2024_166_2_a9/