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Filtration Efficiency of Non-Uniform Fibrous Filters
Authors:Dahua Shou  Heng Zhang  Xiaoming Qian  Lin Ye
Affiliation:1. Department of Fiber Science and Apparel Design, College of Human Ecology, Cornell University, Ithaca, New York, USAds995@cornell.edu jf456@cornell.edu;3. School of Textile, Tianjin Polytechnic University, Tianjin, P.R. China;4. Centre for Advanced Materials Technology, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, New South Wales, Australia
Abstract:Although theoretical models of the filtration efficiency of fibrous filters are typically based on a single type of fiber in an ordered array, many actual fibrous filters comprises fibers that are inherently randomly distributed. It is desirable to be able to estimate the filtration efficiency of such non-uniform fibrous filters from their composition arrangement and the filtration property of individual fibers. Toward that end, we approximate the filter system as a series of cells comprising individual fibers with random distribution, deviating from the homogeneity assumption in the classical models. With better characterization of the filter structure based on the Voronoi diagram, we theoretically revisit filtration efficiency by the top-down (TD) approach and the bottom-up approach. The proposed models are compared with the existing experimental and numerical results under different fiber volume fractions, indicating the high accuracy of the TD model for the filtration of submicron aerosol particles. The influence of the degree of randomness of fiber distribution on filtration efficiency is also quantified.

Copyright 2015 American Association for Aerosol Research
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