Mathematical modeling of physicochemical iron removal from groundwater at rapid filters
•The mathematical model of iron removal with three compartments is developed.•Primarily the limited absorption capacity of the filtration material is evaluated.•The irregularity of a deposit distribution by height increases over time.•Autocatalytic effect accelerates the deposit accumulation. The ar...
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| Published in | Chemical engineering science Vol. 231; p. 116318 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
15.02.2021
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| Abstract | •The mathematical model of iron removal with three compartments is developed.•Primarily the limited absorption capacity of the filtration material is evaluated.•The irregularity of a deposit distribution by height increases over time.•Autocatalytic effect accelerates the deposit accumulation.
The article outlines the formulation of the general mathematical problem of underground water iron removal using rapid filters. The process reflects Fe existence in two forms and mechanical states, describes a complex of mode-forming processes (mass transfer, filtration, adsorption, deposition, oxidation, hydration, consolidation), takes into account the limited absorption resource of the filter medium and its consequences, fresh deposit activity. The autocatalytic effect was estimated based on a local task of Fe removal at inlet section of a filter medium. Correction coefficients to account for the effect were introduced. The exact solution of the basic task was obtained without autocatalysis. It was generalized using the indicated coefficients mentioned before. A great number examples are provided to prove the precedence of the development of a rational algorithm of iron removal to control head losses, using own and numerous publications. |
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| AbstractList | •The mathematical model of iron removal with three compartments is developed.•Primarily the limited absorption capacity of the filtration material is evaluated.•The irregularity of a deposit distribution by height increases over time.•Autocatalytic effect accelerates the deposit accumulation.
The article outlines the formulation of the general mathematical problem of underground water iron removal using rapid filters. The process reflects Fe existence in two forms and mechanical states, describes a complex of mode-forming processes (mass transfer, filtration, adsorption, deposition, oxidation, hydration, consolidation), takes into account the limited absorption resource of the filter medium and its consequences, fresh deposit activity. The autocatalytic effect was estimated based on a local task of Fe removal at inlet section of a filter medium. Correction coefficients to account for the effect were introduced. The exact solution of the basic task was obtained without autocatalysis. It was generalized using the indicated coefficients mentioned before. A great number examples are provided to prove the precedence of the development of a rational algorithm of iron removal to control head losses, using own and numerous publications. |
| ArticleNumber | 116318 |
| Author | Martynov, Serhii Poliakov, Vadim |
| Author_xml | – sequence: 1 givenname: Vadim surname: Poliakov fullname: Poliakov, Vadim email: polyakov_igm@list.ru organization: Research Department of Applied Hydrodynamics, Institute of Hydromechanics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine – sequence: 2 givenname: Serhii orcidid: 0000-0001-6790-8900 surname: Martynov fullname: Martynov, Serhii email: s.y.martynov@nuwm.edu.ua organization: Department of Water Supply, Sewerage and Drilling, National University of Water and Environmental Engineering, Rivne, Ukraine |
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| Cites_doi | 10.1016/j.jwpe.2017.08.015 10.1016/j.desal.2012.07.003 10.1016/j.jwpe.2018.01.010 10.1016/0009-2509(86)85059-X 10.1016/j.jwpe.2015.02.001 10.1016/0043-1354(94)00256-7 10.1061/(ASCE)0733-9372(1992)118:6(964) 10.1016/j.ces.2010.02.052 10.1016/j.watres.2011.10.059 10.3103/S1063455X12020014 10.1515/jwld-2016-0042 10.11113/jt.v74.4875 10.1016/j.jwpe.2017.01.010 10.1029/93WR00404 10.1016/j.cej.2015.07.077 10.1016/S0009-2509(01)00378-5 10.1016/j.ces.2017.03.047 10.1016/j.ces.2015.09.017 10.1007/s11270-005-5993-9 10.1002/j.1551-8833.1993.tb06121.x 10.1016/j.colsurfa.2012.11.053 10.1016/j.watres.2016.11.032 10.1006/jcis.2000.7130 |
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| Keywords | Physicochemical iron removal Oxidation Deep bed filtration Autocatalysis Deposition Exact solution |
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| Snippet | •The mathematical model of iron removal with three compartments is developed.•Primarily the limited absorption capacity of the filtration material is... |
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| SubjectTerms | Autocatalysis Deep bed filtration Deposition Exact solution Oxidation Physicochemical iron removal |
| Title | Mathematical modeling of physicochemical iron removal from groundwater at rapid filters |
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