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Deep bed filtration : mathematical models and observations

journal contribution
posted on 2005-01-01, 00:00 authored by Veeriah Jegatheesan, S Vigneswaran
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.

History

Journal

Critical reviews in environmental science and technology

Volume

35

Issue

6

Pagination

515 - 569

Publisher

Taylor & Francis Inc.

Location

Philadelphia, P.a.

ISSN

1064-3389

eISSN

1547-6537

Language

eng

Publication classification

C1.1 Refereed article in a scholarly journal

Copyright notice

Taylor & Francis Inc.

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