DOI QR코드

DOI QR Code

Approximation of most penetrating particle size for fibrous filters considering Cunningham slip correction factor

  • Jung, Chang Hoon (Department of Health Management, Kyungin Women's University) ;
  • Yoon, Young Jun (Korea Polar Research Institute) ;
  • Um, Junshik (Department of Atmospheric Sciences, Pusan National University) ;
  • Lee, Seoung Soo (Earth System Science Interdisciplinary Center, University of Maryland) ;
  • Lee, Ji Yi (Department of Environmental Science and Engineering, Ewha Womans University) ;
  • Chiao, Sen (Center for Applied Atmospheric Research and Education, San Jose State University) ;
  • Kim, Yong Pyo (Department of Chemical Engineering and Material Science, Ewha Womans University)
  • Received : 2019.02.13
  • Accepted : 2019.04.12
  • Published : 2020.06.30

Abstract

In the estimation of the aerosol single fiber efficiency using fibrous filters, there is a size range, where the particles penetrate most effectively through the fibrous collectors, and corresponding minimum single fiber efficiency. For small particles in which the diffusion mechanism is dominant, the Cunningham slip correction factor (Cc) affects the single fiber efficiency and the most penetrating particle size (MPPS). Therefore, for accurate estimation, Cc is essential to be considered. However, many previous studies have neglected this factor because of its complexity and the associated difficulty in deriving the appropriate parameterization particularly for the MPPS. In this study, the expression for the MPPS, and the corresponding expression for the minimum single fiber efficiency are analytically derived, and the effects of Cc are determined. In order to accommodate the slip factor for all particle-size ranges, Cc is simplified and modified. Overall, the obtained analytical expression for the MPPS is in a good agreement with the exact solution.

Keywords

References

  1. Hinds WC. Aerosol technology, properties behavior, and measurement of airborne particles. 2nd ed. New York: John Wiley and Sons; 1998.
  2. Lee KW, Liu BYH. On the minimum efficiency and the most penetrating particle size for fibrous filters. J. Air Pollut. Control Assoc. 1980;30:337-381.
  3. Shou D, Fan J, Zhang H, Qian X, Ye L. Filtration efficiency of non-uniform fibrous filters. Aerosol Sci. Technol. 2015;49: 912-919. https://doi.org/10.1080/02786826.2015.1083092
  4. Lee KW, Gieseke JA. Collection of aerosol particles by packed beds. Environ. Sci. Technol. 1979;13:466-470. https://doi.org/10.1021/es60152a013
  5. Lee KW. Maximum penetration of aerosol particles in granular bed filters. J. Aerosol Sci. 1981;12:79-87. https://doi.org/10.1016/0021-8502(81)90014-8
  6. Jung CH, Lee KW. Analytic solution on critical suspended particle size and minimum collection efficiency in deep bed filtration. J. Environ. Eng. 2006;132:1381-1386. https://doi.org/10.1061/(ASCE)0733-9372(2006)132:10(1381)
  7. Jung CH, Lee KW. Approximated solution for the most penetrating particle size in multiple fluid sphere systems. Environ. Eng. Sci. 2007;24:257-266. https://doi.org/10.1089/ees.2005.0030
  8. Gussman RA. On the aerosol particle slip correction factor. J. Appl. Meteorol. 1969;8:999-1001. https://doi.org/10.1175/1520-0450(1969)008<0999:OTAPSC>2.0.CO;2
  9. Moshfegh A, Shams M, Ahmadi G, Ebrahimi R. A novel surface- slip correction for microparticles motion. Colloids Surf. A. Physicochem. Eng. Asp. 2009;345:112-120. https://doi.org/10.1016/j.colsurfa.2009.04.042
  10. Moshfegh A, Shams M, Ahmadi G, Ebrahimi R. A new expression for spherical aerosol drag in slip flow regime. J. Aerosol Sci. 2010;41:384-400. https://doi.org/10.1016/j.jaerosci.2010.01.010
  11. Jung CH, Lee KW. Analytical solution of unified flow field for multiple fluid collectors in finite Knudsen number regime. Environ. Eng. Sci. 2007;24:216-227. https://doi.org/10.1089/ees.2005.0018
  12. Sorensen CM, Wang GM. Note on the correction for diffusion and drag in the slip regime. Aerosol Sci. Technol. 2000;33:353-356. https://doi.org/10.1080/02786820050121549
  13. Kuwabara S. The forces experienced by randomly distributed parallel circular cylinders or spheres in a viscous flow at small Reynolds numbers. J. Phys. Soc. Jpn. 1958;14:527-532. https://doi.org/10.1143/JPSJ.14.527
  14. Lee KW, Liu BYH. Theoretical study of aerosol filtration by fibrous filters. Aerosol Sci. Technol. 1982;1:147-161. https://doi.org/10.1080/02786828208958584
  15. Lee KW. Maximum penetration of aerosol particles in granular bed filters. J. Aerosol Sci. 1981;12:79-87. https://doi.org/10.1016/0021-8502(81)90014-8
  16. Jung CH, Bae SY, Kim YP. Approximated solution on the properties of the scavenging gap during precipitation using harmonic mean method. Atmos. Res. 2011;99:496-504. https://doi.org/10.1016/j.atmosres.2010.11.023