Theoretical investigation on submicron particle penetration through circular tubes inside a porous medium--颗粒学报PARTICUOLOGY

Yu, Y., Gao, Y., & Kang, Y. (2022). Theoretical investigation on submicron particle penetration through circular tubes inside a porous medium. Particuology, 70, 55-63. https://doi.org/10.1016/j.partic.2022.01.004

Theoretical investigation on submicron particle penetration through circular tubes inside a porous medium

Yanrong Yu ^{a b}, Yongwei Gao ^b, Yanming Kang ^a *

a School of Environmental Science and Engineering, Donghua University, Shanghai 201620, China
b School of Physics and Electronic-Electrical Engineering, Ningxia University, Yinchuan 750021, China

10.1016/j.partic.2022.01.004

Volume 70, November 2022, Pages 55-63

Received 26 August 2021, Revised 7 December 2021, Accepted 4 January 2022, Available online 14 January 2022, Version of Record 31 January 2022.

E-mail: ymkang@dhu.edu.cn

Highlights

• Submicron aerosol transportation in porous-walled tubes is studied theoretically.

• Analytical solution is found for calculating aerosol penetration through the tubes.

• Penetration rate (P) of nano-particles is sensitive to the main affecting factors.

• An empirical formula is presented for calculating P through porous-walled tubes.

Abstract

The analytical infinite series solution of submicron particle transport in a circular tube bounded by a porous wall, such as a pinhole, is determined under the slip velocity boundary condition, and the solution is verified by using the experimental data in the previous studies for the specific cases. The results show that particle penetration rate increases with the increase of the porous parameter, the axial pressure drop, and the pinhole radius, whereas it decreases with increasing the pinhole length. The penetration rate of nano-particles are more sensitive to the variation of these parameters. However, the differences between the penetrations of particles ranging from 0.3 μm to 1 μm are not evident because the diffusion becomes weak gradually in this size range. In addition, a further comparison is performed between the analytical solution and the existing studies, and approximate expressions are presented for accurate calculation of particle penetration rate through pinholes appearing in porous materials including filter devices and masks.

Graphical abstract

Keywords

Porous medium; Penetration; Submicron particle; Circular tube; Analytical solution

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