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Deep bed filtration : mathematical models and observations

Jegatheesan, V. and Vigneswaran, S. 2005, Deep bed filtration : mathematical models and observations, Critical reviews in environmental science and technology, vol. 35, no. 6, pp. 515-569, doi: 10.1080/10643380500326432.

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Title Deep bed filtration : mathematical models and observations
Author(s) Jegatheesan, V.
Vigneswaran, S.
Journal name Critical reviews in environmental science and technology
Volume number 35
Issue number 6
Start page 515
End page 569
Publisher Taylor & Francis Inc.
Place of publication Philadelphia, P.a.
Publication date 2005
ISSN 1064-3389
1547-6537
Keyword(s) collection efficiency
favorable conditions
initial stage
surface chemistry
transient stage
unfavorable conditions
Summary Numerous mathematical models have been developed to evaluate both initial and transient stage removal efficiency of deep bed filters. Microscopic models either using trajectory analysis or convective diffusion equations were used to compute the initial removal efficiency. These models predicted the removal efficiency under favorable filtration conditions quantitatively, but failed to predict the removal efficiency under unfavorable conditions. They underestimated the removal efficiency under unfavorable conditions. Thus, semi-empirical formulations were developed to compute initial removal efficiencies under unfavorable conditions. Also, correction for the adhesion of particles onto filter grains improved the results obtained for removal efficiency from the trajectory analysis. Macroscopic models were used to predict the transient stage removal efficiency of deep bed filters. The O’Melia and Ali1 model assumed that the particle removal is due to filter grains as well as the particles that are already deposited onto the filter grain. Thus, semi-empirical models were used to predict the ripening of filtration. Several modifications were made to the model developed by O’Melia and Ali to predict the deterioration of particle removal during the transient stages of filtration. Models considering the removal of particles under favorable conditions and the accumulation of charges on the filter grains during the transient stages were also developed. This article evaluates those models and their applicability under different operating conditions of filtration.
Language eng
DOI 10.1080/10643380500326432
Field of Research 099999 Engineering not elsewhere classified
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ┬ęTaylor & Francis Inc.
Persistent URL http://hdl.handle.net/10536/DRO/DU:30039684

Document type: Journal Article
Collection: School of Engineering
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