UV dose distribution characterization using fractal concepts for system performance evaluation
This paper presents a mathematical model for estimating the UV dose distribution delivered by continuous-flow UV disinfection processes. The model adopts fractal concepts and a stochastic method to simulate microorganism (particle) trajectories through the irradiation zone of an open-channel UV syst...
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| Veröffentlicht in: | Water science and technology 2001-01, Vol.43 (11), p.181-188 |
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| creator | LIN, L-S BIATCHLEY, E. R |
| description | This paper presents a mathematical model for estimating the UV dose distribution delivered by continuous-flow UV disinfection processes. The model adopts fractal concepts and a stochastic method to simulate microorganism (particle) trajectories through the irradiation zone of an open-channel UV system. The irregularity of particle trajectories attributable to random movements was characterized by fractal dimension. In turn, trajectory-specific doses were calculated by integrating UV intensity over travel time. Results of these simulations indicated that radiation intensities along the trajectories could be highly variable. Therefore, microorganisms are expected to receive a broad range of radiation doses as a result of variations in radiation intensity along their trajectories and spatial heterogeneity in the radiation intensity field. This supports previous assertions that the conventional averaged-dose approach will result in substantial deviations between predicted and actual system performance. Implications of the results in terms of treatment efficiency and system design are discussed. The presented approach is found to be useful as a tool for rapid estimation of the dose distribution delivered by UV processes. |
| doi_str_mv | 10.2166/wst.2001.0681 |
| format | Article |
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R</creator><contributor>Lesouef, A ; Haas, C ; Watanabe, Y ; ven der Vlies, AW ; Nagle, PT (eds) ; House, M ; Gilbert, J ; Grabow, WOK ; Nielsen, J ; Wanner, J ; Milburn, A ; Villesot, D ; Purdon, CD</contributor><creatorcontrib>LIN, L-S ; BIATCHLEY, E. R ; Lesouef, A ; Haas, C ; Watanabe, Y ; ven der Vlies, AW ; Nagle, PT (eds) ; House, M ; Gilbert, J ; Grabow, WOK ; Nielsen, J ; Wanner, J ; Milburn, A ; Villesot, D ; Purdon, CD</creatorcontrib><description>This paper presents a mathematical model for estimating the UV dose distribution delivered by continuous-flow UV disinfection processes. The model adopts fractal concepts and a stochastic method to simulate microorganism (particle) trajectories through the irradiation zone of an open-channel UV system. The irregularity of particle trajectories attributable to random movements was characterized by fractal dimension. In turn, trajectory-specific doses were calculated by integrating UV intensity over travel time. Results of these simulations indicated that radiation intensities along the trajectories could be highly variable. Therefore, microorganisms are expected to receive a broad range of radiation doses as a result of variations in radiation intensity along their trajectories and spatial heterogeneity in the radiation intensity field. This supports previous assertions that the conventional averaged-dose approach will result in substantial deviations between predicted and actual system performance. Implications of the results in terms of treatment efficiency and system design are discussed. The presented approach is found to be useful as a tool for rapid estimation of the dose distribution delivered by UV processes.</description><identifier>ISSN: 0273-1223</identifier><identifier>ISBN: 1900222701</identifier><identifier>ISBN: 9781900222709</identifier><identifier>EISSN: 1996-9732</identifier><identifier>DOI: 10.2166/wst.2001.0681</identifier><identifier>PMID: 11443961</identifier><identifier>CODEN: WSTED4</identifier><language>eng</language><publisher>London: IWA</publisher><subject>Applied sciences ; Bacteria - radiation effects ; Bioreactors ; Computer simulation ; Disinfection ; Disinfection - methods ; Distribution ; Drinking water and swimming-pool water. Desalination ; Evaluation ; Exact sciences and technology ; Fractal models ; Fractals ; General purification processes ; Heterogeneity ; Irradiation ; Mathematical analysis ; Mathematical Computing ; Microorganisms ; Particle trajectories ; Patchiness ; Photometry - methods ; Pollution ; Spatial distribution ; Spatial heterogeneity ; Stochasticity ; Systems design ; Ultraviolet radiation ; Ultraviolet Rays ; Wastewaters ; Water Microbiology ; Water Purification - methods ; Water Purification - standards ; Water Supply ; Water treatment and pollution</subject><ispartof>Water science and technology, 2001-01, Vol.43 (11), p.181-188</ispartof><rights>2001 INIST-CNRS</rights><rights>Copyright IWA Publishing Jun 2001</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c439t-4050f6e177b1a2a67eb1980046e3d79049d47392128ab5e14b6d922da3251fe53</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>309,310,314,780,784,789,790,23930,23931,25140,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1018967$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/11443961$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Lesouef, A</contributor><contributor>Haas, C</contributor><contributor>Watanabe, Y</contributor><contributor>ven der Vlies, AW</contributor><contributor>Nagle, PT (eds)</contributor><contributor>House, M</contributor><contributor>Gilbert, J</contributor><contributor>Grabow, WOK</contributor><contributor>Nielsen, J</contributor><contributor>Wanner, J</contributor><contributor>Milburn, A</contributor><contributor>Villesot, D</contributor><contributor>Purdon, CD</contributor><creatorcontrib>LIN, L-S</creatorcontrib><creatorcontrib>BIATCHLEY, E. R</creatorcontrib><title>UV dose distribution characterization using fractal concepts for system performance evaluation</title><title>Water science and technology</title><addtitle>Water Sci Technol</addtitle><description>This paper presents a mathematical model for estimating the UV dose distribution delivered by continuous-flow UV disinfection processes. The model adopts fractal concepts and a stochastic method to simulate microorganism (particle) trajectories through the irradiation zone of an open-channel UV system. The irregularity of particle trajectories attributable to random movements was characterized by fractal dimension. In turn, trajectory-specific doses were calculated by integrating UV intensity over travel time. Results of these simulations indicated that radiation intensities along the trajectories could be highly variable. Therefore, microorganisms are expected to receive a broad range of radiation doses as a result of variations in radiation intensity along their trajectories and spatial heterogeneity in the radiation intensity field. This supports previous assertions that the conventional averaged-dose approach will result in substantial deviations between predicted and actual system performance. Implications of the results in terms of treatment efficiency and system design are discussed. The presented approach is found to be useful as a tool for rapid estimation of the dose distribution delivered by UV processes.</description><subject>Applied sciences</subject><subject>Bacteria - radiation effects</subject><subject>Bioreactors</subject><subject>Computer simulation</subject><subject>Disinfection</subject><subject>Disinfection - methods</subject><subject>Distribution</subject><subject>Drinking water and swimming-pool water. Desalination</subject><subject>Evaluation</subject><subject>Exact sciences and technology</subject><subject>Fractal models</subject><subject>Fractals</subject><subject>General purification processes</subject><subject>Heterogeneity</subject><subject>Irradiation</subject><subject>Mathematical analysis</subject><subject>Mathematical Computing</subject><subject>Microorganisms</subject><subject>Particle trajectories</subject><subject>Patchiness</subject><subject>Photometry - methods</subject><subject>Pollution</subject><subject>Spatial distribution</subject><subject>Spatial heterogeneity</subject><subject>Stochasticity</subject><subject>Systems design</subject><subject>Ultraviolet radiation</subject><subject>Ultraviolet Rays</subject><subject>Wastewaters</subject><subject>Water Microbiology</subject><subject>Water Purification - methods</subject><subject>Water Purification - standards</subject><subject>Water Supply</subject><subject>Water treatment and pollution</subject><issn>0273-1223</issn><issn>1996-9732</issn><isbn>1900222701</isbn><isbn>9781900222709</isbn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqN0ctrFTEUBvCgFXtbXbqVgOJuruecvCZLKb6g0E3r0pDJZHTKPK7JjFL_enPbC0o3dRVy8stHyMfYC4QtodZvf-VlSwC4BV3jI7ZBa3VljaDH7AQtABEZwCO2ATKiQiJxzE5yvgYAIyQ8ZceIUgqrccO-Xn3h7Zwjb_u8pL5Zl36eePjukw9LTP1vfztYcz99491-6Ace5inE3ZJ5Nyeeb_ISR76LqexGX054_OmH9fbiM_ak80OOzw_rKbv68P7y7FN1fvHx89m78yqUdyyVBAWdjmhMg568NrFBWwNIHUVrLEjbSiMsIdW-URFlo1tL1HpBCruoxCl7c5e7S_OPNebFjX0OcRj8FOc1OwPWSmvgQUjWKqqV-g9oalkb8yDEGo0kRQW-ugev5zVN5VscWimEwhp0UdWdCmnOOcXO7VI_-nTjENy-flfqd_v63b7-4l8eUtdmjO1ffai4gNcH4HPwQ-lwCn3-JxVrq434A-TDtOU</recordid><startdate>20010101</startdate><enddate>20010101</enddate><creator>LIN, L-S</creator><creator>BIATCHLEY, E. 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Desalination</topic><topic>Evaluation</topic><topic>Exact sciences and technology</topic><topic>Fractal models</topic><topic>Fractals</topic><topic>General purification processes</topic><topic>Heterogeneity</topic><topic>Irradiation</topic><topic>Mathematical analysis</topic><topic>Mathematical Computing</topic><topic>Microorganisms</topic><topic>Particle trajectories</topic><topic>Patchiness</topic><topic>Photometry - methods</topic><topic>Pollution</topic><topic>Spatial distribution</topic><topic>Spatial heterogeneity</topic><topic>Stochasticity</topic><topic>Systems design</topic><topic>Ultraviolet radiation</topic><topic>Ultraviolet Rays</topic><topic>Wastewaters</topic><topic>Water Microbiology</topic><topic>Water Purification - methods</topic><topic>Water Purification - standards</topic><topic>Water Supply</topic><topic>Water treatment and pollution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>LIN, L-S</creatorcontrib><creatorcontrib>BIATCHLEY, E. 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R</au><au>Lesouef, A</au><au>Haas, C</au><au>Watanabe, Y</au><au>ven der Vlies, AW</au><au>Nagle, PT (eds)</au><au>House, M</au><au>Gilbert, J</au><au>Grabow, WOK</au><au>Nielsen, J</au><au>Wanner, J</au><au>Milburn, A</au><au>Villesot, D</au><au>Purdon, CD</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>UV dose distribution characterization using fractal concepts for system performance evaluation</atitle><jtitle>Water science and technology</jtitle><addtitle>Water Sci Technol</addtitle><date>2001-01-01</date><risdate>2001</risdate><volume>43</volume><issue>11</issue><spage>181</spage><epage>188</epage><pages>181-188</pages><issn>0273-1223</issn><eissn>1996-9732</eissn><isbn>1900222701</isbn><isbn>9781900222709</isbn><coden>WSTED4</coden><abstract>This paper presents a mathematical model for estimating the UV dose distribution delivered by continuous-flow UV disinfection processes. The model adopts fractal concepts and a stochastic method to simulate microorganism (particle) trajectories through the irradiation zone of an open-channel UV system. The irregularity of particle trajectories attributable to random movements was characterized by fractal dimension. In turn, trajectory-specific doses were calculated by integrating UV intensity over travel time. Results of these simulations indicated that radiation intensities along the trajectories could be highly variable. Therefore, microorganisms are expected to receive a broad range of radiation doses as a result of variations in radiation intensity along their trajectories and spatial heterogeneity in the radiation intensity field. This supports previous assertions that the conventional averaged-dose approach will result in substantial deviations between predicted and actual system performance. Implications of the results in terms of treatment efficiency and system design are discussed. The presented approach is found to be useful as a tool for rapid estimation of the dose distribution delivered by UV processes.</abstract><cop>London</cop><pub>IWA</pub><pmid>11443961</pmid><doi>10.2166/wst.2001.0681</doi><tpages>8</tpages></addata></record> |
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| identifier | ISSN: 0273-1223 |
| ispartof | Water science and technology, 2001-01, Vol.43 (11), p.181-188 |
| issn | 0273-1223 1996-9732 |
| language | eng |
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| source | MEDLINE; EZB-FREE-00999 freely available EZB journals |
| subjects | Applied sciences Bacteria - radiation effects Bioreactors Computer simulation Disinfection Disinfection - methods Distribution Drinking water and swimming-pool water. Desalination Evaluation Exact sciences and technology Fractal models Fractals General purification processes Heterogeneity Irradiation Mathematical analysis Mathematical Computing Microorganisms Particle trajectories Patchiness Photometry - methods Pollution Spatial distribution Spatial heterogeneity Stochasticity Systems design Ultraviolet radiation Ultraviolet Rays Wastewaters Water Microbiology Water Purification - methods Water Purification - standards Water Supply Water treatment and pollution |
| title | UV dose distribution characterization using fractal concepts for system performance evaluation |
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