Theoretical Framework of a Polydisperse Cell Filtration Model

Yujun Wang, Jian Gong, Changsheng Su, Qisheng Ou, Qiang Lyu, David Pui, Michael J. Cunningham

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Filtration via a porous medium is a ubiquitous process where high-fidelity physical models are needed. The classical cell model oversimplifies the filtration medium and results in biased and inaccurate predictions of the filter performance. This paper presents the discrete framework of a polydisperse cell model that can incorporate any measured pore size distribution. A new equation connecting the polydisperse cell efficiencies and the medium efficiency is derived from first principles. For ceramic filters, the discrete model demonstrates a generic prediction capability of the filtration efficiency with a root-mean-squared difference of 5.4%, while the counterpart of the classical cell model is 26.4%. In addition, the discrete model eliminates the biased predictions of the classical cell model on sub-100 nm particles.

Original languageEnglish (US)
Pages (from-to)11230-11236
Number of pages7
JournalEnvironmental Science and Technology
Issue number18
StatePublished - Sep 15 2020

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Copyright © 2020 American Chemical Society.


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