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DOI: https://doi.org/10.4491/eer.2019.058
Approximation of most penetrating particle size for fibrous filters considering Cunningham slip correction factor
Chang Hoon Jung1, Young Jun Yoon2, Junshik Um3, Seoung Soo Lee4, Ji Yi Lee5, Sen Chiao6, and Yong Pyo Kim7
1Department of Health Management, Kyungin Women’s University, Incheon 21041, Republic of Korea
2Korea Polar Research Institute, 26, Songdomirae-ro, Yeonsu-gu, Incheon 21990, Republic of Korea
3Department of Atmospheric Sciences, Pusan National University, Busan 46241, Republic of Korea
4Earth System Science Interdisciplinary Center, University of Maryland, College Park, MD 20740, USA
5Department of Environmental Science and Engineering, Ewha Womans University, Seoul 03760, Republic of Korea
6Center for Applied Atmospheric Research and Education, San Jose State University, San Jose, CA 95192, USA
7Department of Chemical Engineering and Material Science, Ewha Womans University, Seoul 03760, Republic of Korea
Corresponding Author: Chang Hoon Jung ,Tel: +82-32-540-0166 , Fax: +82-32-540-0167, Email: jch@kiwu.ac.kr
Received: February 13, 2019;  Accepted: April 12, 2019.
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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 a 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: Aerosol single fiber efficiency | Cunningham slip correction factor | Fibrous collector | Minimum single fiber efficiency | Most penetrating particle size
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