An analytical model for aerosol filtration by nonuniform filter media

Michael Shapiro

doi:10.1016/0021-8502(95)00542-0

An analytical model for aerosol filtration by nonuniform filter media

Michael Shapiro^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

Filtration of submicrometer aerosol particles by nonhomogenous porous filters is studied analytically. Analytical analyses are performed for a homogeneous bulk filter material containing a small volumetric fraction of spatial inhomogeneities (inclusions). An expression is derived for the effective filtration length of such a composite filter material, relative to the comparable length of the corresponding uniform matrix and the filtering properties of the inclusion. The model expression is tested by experiments performed for submicrometer aerosols, collected in a granular bed filter. The model predicts a nonmononic α-dependence of the effective filtration length, which qualitatively agrees with experimental data.

Original language	English
Pages (from-to)	263-280
Number of pages	18
Journal	Journal of Aerosol Science
Volume	27
Issue number	2
DOIs	https://doi.org/10.1016/0021-8502(95)00542-0
State	Published - Mar 1996
Externally published	Yes

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10.1016/0021-8502(95)00542-0

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@article{366568381f23496587809bee995cfc37,

title = "An analytical model for aerosol filtration by nonuniform filter media",

abstract = "Filtration of submicrometer aerosol particles by nonhomogenous porous filters is studied analytically. Analytical analyses are performed for a homogeneous bulk filter material containing a small volumetric fraction of spatial inhomogeneities (inclusions). An expression is derived for the effective filtration length of such a composite filter material, relative to the comparable length of the corresponding uniform matrix and the filtering properties of the inclusion. The model expression is tested by experiments performed for submicrometer aerosols, collected in a granular bed filter. The model predicts a nonmononic α-dependence of the effective filtration length, which qualitatively agrees with experimental data.",

author = "Michael Shapiro",

note = "Funding Information: Ackno~~,ledyml~nrs-This research was supported in part by the Israel Ministry of Science and Technology. The author is thankful to Prof. H. Fissan and Dr W. Molter for fruitful discussions, stimulating the performance of this study and to Dr S. Lekhtmakher for measuring the filtration efficiencies of glass bed filters. Comments of Dr E. Schmidt, Dr T. Liicke and Dr G. Kasper to a previous version of this manuscript are gratefully acknowledged.",

year = "1996",

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doi = "10.1016/0021-8502(95)00542-0",

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pages = "263--280",

journal = "Journal of Aerosol Science",

issn = "0021-8502",

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T1 - An analytical model for aerosol filtration by nonuniform filter media

AU - Shapiro, Michael

N1 - Funding Information: Ackno~~,ledyml~nrs-This research was supported in part by the Israel Ministry of Science and Technology. The author is thankful to Prof. H. Fissan and Dr W. Molter for fruitful discussions, stimulating the performance of this study and to Dr S. Lekhtmakher for measuring the filtration efficiencies of glass bed filters. Comments of Dr E. Schmidt, Dr T. Liicke and Dr G. Kasper to a previous version of this manuscript are gratefully acknowledged.

PY - 1996/3

Y1 - 1996/3

N2 - Filtration of submicrometer aerosol particles by nonhomogenous porous filters is studied analytically. Analytical analyses are performed for a homogeneous bulk filter material containing a small volumetric fraction of spatial inhomogeneities (inclusions). An expression is derived for the effective filtration length of such a composite filter material, relative to the comparable length of the corresponding uniform matrix and the filtering properties of the inclusion. The model expression is tested by experiments performed for submicrometer aerosols, collected in a granular bed filter. The model predicts a nonmononic α-dependence of the effective filtration length, which qualitatively agrees with experimental data.

AB - Filtration of submicrometer aerosol particles by nonhomogenous porous filters is studied analytically. Analytical analyses are performed for a homogeneous bulk filter material containing a small volumetric fraction of spatial inhomogeneities (inclusions). An expression is derived for the effective filtration length of such a composite filter material, relative to the comparable length of the corresponding uniform matrix and the filtering properties of the inclusion. The model expression is tested by experiments performed for submicrometer aerosols, collected in a granular bed filter. The model predicts a nonmononic α-dependence of the effective filtration length, which qualitatively agrees with experimental data.

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DO - 10.1016/0021-8502(95)00542-0

M3 - 文章

AN - SCOPUS:0030111051

SN - 0021-8502

VL - 27

SP - 263

EP - 280

JO - Journal of Aerosol Science

JF - Journal of Aerosol Science

IS - 2

ER -

An analytical model for aerosol filtration by nonuniform filter media

Abstract

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