The theoretical study of the efficiency of diffusion deposition of nanoaerosols in the extended range of the Peclet numbers--颗粒学报PARTICUOLOGY

Mardanov, R. F., Zaripov, S. K., & Sharafutdinov, V. F. (2023). The theoretical study of the efficiency of diffusion deposition of nanoaerosols in the extended range of the Peclet numbers. Particuology, 77, 47-55. https://doi.org/10.1016/j.partic.2022.08.005

The theoretical study of the efficiency of diffusion deposition of nanoaerosols in the extended range of the Peclet numbers

R.F. Mardanov, S.K. Zaripov ^*, V.F. Sharafutdinov

N.I. Lobachevskii Institute of Mathematics and Mechanics, Kazan (Volga Region) Federal University, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008, Russia

10.1016/j.partic.2022.08.005

Volume 77, June 2023, Pages 47-55

Received 2 May 2022, Revised 21 July 2022, Accepted 9 August 2022, Available online 19 August 2022, Version of Record 2 December 2022.

E-mail: Shamil.Zaripov@kpfu.ru

Highlights

• Nanoparticles deposition in the extended range of the Peсlet number is studied.

• Square and chess grid of fibers and a row of fibers are considered.

• Approximate formulas for the single fiber deposition efficiency are derived.

• Approximate dependencies agree well to the numerical and experimental data.

Abstract

The efficiencies of the diffusion deposition of nanoaerosols for a single fiber for the models of aerosol filter and wire mesh screen are studied numerically in the extended range of the Peclet number Pe. The rectangular periodic cell model for fluid flow and convective-diffusive transport of small aerosol particles is used. Most of the previous theoretical and experimental studies of single fiber diffusion deposition efficiency were for the case of Pe > 1. The array with uniform square or chess grid of fibers and of a row of circular cylindrical fibers are considered as the filter and wire mesh screen models. The flow and particles transport equations are solved numerically using the Boundary Element Method.

The obtained numerical data are used to derive the approximate formulas for the deposition efficiency in the entire range of the Peclet number for the various porosities of the filter medium or distances between fibers in a wire mesh screen. The derived dependencies take into account nonlinearity of the deposition efficiency at the low Peclet numbers. The obtained analytical dependencies compare well with the numerical and experimental data.

Graphical abstract

Keywords

Array of fibers; Row of fibers; Periodic cell model; Convection-diffusion equation; Single fiber efficiency

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