Inverse Problem of Air Filtration of Nanoparticles: Optimal Quality Factors of Fibrous FiltersReport as inadecuate

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Journal of Nanomaterials - Volume 2015 2015, Article ID 168392, 11 pages -

Research Article

Department of Fiber Science and Apparel Design, College of Human Ecology, Cornell University, Ithaca, NY 14853, USA

Centre for Advanced Materials Technology, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, NSW 2006, Australia

School of Textile, Tianjin Polytechnic University, Tianjin 300160, China

National Center for Nanoscience and Technology, Beijing 100190, China

Received 20 August 2015; Accepted 1 October 2015

Academic Editor: David Cornu

Copyright © 2015 Dahua Shou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Application of nanofibers has become an emerging approach to enhance filtration efficiency, but questions arise about the decrease in Quality factor QF for certain particles due to the rapidly increasing pressure drop. In this paper, we theoretically investigate the QF of dual-layer filters for filtration of monodisperse and polydisperse nanoparticles. The inverse problem of air filtration, as defined in this work, consists in determining the optimal construction of the two-layer fibrous filter with the maximum QF. In comparison to a single-layer substrate, improved QF values for dual-layer filters are found when a second layer with proper structural parameters is added. The influences of solidity, fiber diameter, filter thickness, face velocity, and particle size on the optimization of QF are studied. The maximum QF values for realistic polydisperse particles with a lognormal size distribution are also found. Furthermore, we propose a modified QF MQF accounting for the effects of energy cost and flow velocity, which are significant in certain operations. The optimal MQF of the dual-layer filter is found to be over twice that of the first layer. This work provides a quick tool for designing and optimizing fibrous structures with better performance for the air filtration of specific nanoparticles.

Author: Dahua Shou, Jintu Fan, Lin Ye, Heng Zhang, Xiaoming Qian, and Zhong Zhang



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