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Modeling of bubble behaviors and size distribution in a slab continuous casting mold
•A population balance model based on Euler–Euler two-fluid model was developed.•First time to study the polydispersed bubbly flow in a mold using MUSIG.•Bubble breakage and coalescence behavior was studied using water model.•Bubble size distribution was obtained using image analysis software of Imag...
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Published in: | International journal of multiphase flow 2016-03, Vol.79, p.190-201 |
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container_title | International journal of multiphase flow |
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creator | Liu, Z.Q. Qi, F.S. Li, B.K. Cheung, S.C.P. |
description | •A population balance model based on Euler–Euler two-fluid model was developed.•First time to study the polydispersed bubbly flow in a mold using MUSIG.•Bubble breakage and coalescence behavior was studied using water model.•Bubble size distribution was obtained using image analysis software of ImageJ.
Population balance equations combined with Eulerian–Eulerian two-phase model are employed to predict the polydispersed bubbly flow inside the slab continuous-casting mold. The class method, realized by the MUltiple-SIze- Group (MUSIG) model, alongside with suitable bubble breakage and coalescence kernels is adopted. A two-way momentum transfer mechanism model combines the bubble induced turbulence model and various interfacial forces including drag, lift, virtual mass, wall lubrication, and turbulent dispersion are incorporated in the model. A 1/4th scaled water model of the slab continuous-casting mold was built to measure and investigate the bubble behavior and size distribution. A high speed video system was used to visualize the bubble behavior, and a digital image processing technique was used to measure the mean bubble diameter along the width of the mold. Predictions by previous mono-size model and MUSIG model are compared and validated against experimental data obtained from the water model. Effects of the water flow rate and gas flow rate on the mean bubble size were also investigated. Close agreements by MUSIG model were achieved for the gas volume fraction, liquid flow pattern, bubble breakage and coalescence, and local bubble Sauter mean diameter against observations and measurements of water model experiments. |
doi_str_mv | 10.1016/j.ijmultiphaseflow.2015.07.009 |
format | article |
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Population balance equations combined with Eulerian–Eulerian two-phase model are employed to predict the polydispersed bubbly flow inside the slab continuous-casting mold. The class method, realized by the MUltiple-SIze- Group (MUSIG) model, alongside with suitable bubble breakage and coalescence kernels is adopted. A two-way momentum transfer mechanism model combines the bubble induced turbulence model and various interfacial forces including drag, lift, virtual mass, wall lubrication, and turbulent dispersion are incorporated in the model. A 1/4th scaled water model of the slab continuous-casting mold was built to measure and investigate the bubble behavior and size distribution. A high speed video system was used to visualize the bubble behavior, and a digital image processing technique was used to measure the mean bubble diameter along the width of the mold. Predictions by previous mono-size model and MUSIG model are compared and validated against experimental data obtained from the water model. Effects of the water flow rate and gas flow rate on the mean bubble size were also investigated. Close agreements by MUSIG model were achieved for the gas volume fraction, liquid flow pattern, bubble breakage and coalescence, and local bubble Sauter mean diameter against observations and measurements of water model experiments.</description><identifier>ISSN: 0301-9322</identifier><identifier>EISSN: 1879-3533</identifier><identifier>DOI: 10.1016/j.ijmultiphaseflow.2015.07.009</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Bubble breakage ; Bubble coalescence ; Bubble size distribution ; Bubbles ; Coalescence ; Coalescing ; Continuous-casting mold ; Fluid dynamics ; Mathematical models ; Molds ; Physical simulation ; Population balance ; Slabs ; Two-phase flow</subject><ispartof>International journal of multiphase flow, 2016-03, Vol.79, p.190-201</ispartof><rights>2015</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c439t-447fea25fbca472b07aac19039a848d4fab29511a780b3fcd17f17fb4948b7c33</citedby><cites>FETCH-LOGICAL-c439t-447fea25fbca472b07aac19039a848d4fab29511a780b3fcd17f17fb4948b7c33</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Liu, Z.Q.</creatorcontrib><creatorcontrib>Qi, F.S.</creatorcontrib><creatorcontrib>Li, B.K.</creatorcontrib><creatorcontrib>Cheung, S.C.P.</creatorcontrib><title>Modeling of bubble behaviors and size distribution in a slab continuous casting mold</title><title>International journal of multiphase flow</title><description>•A population balance model based on Euler–Euler two-fluid model was developed.•First time to study the polydispersed bubbly flow in a mold using MUSIG.•Bubble breakage and coalescence behavior was studied using water model.•Bubble size distribution was obtained using image analysis software of ImageJ.
Population balance equations combined with Eulerian–Eulerian two-phase model are employed to predict the polydispersed bubbly flow inside the slab continuous-casting mold. The class method, realized by the MUltiple-SIze- Group (MUSIG) model, alongside with suitable bubble breakage and coalescence kernels is adopted. A two-way momentum transfer mechanism model combines the bubble induced turbulence model and various interfacial forces including drag, lift, virtual mass, wall lubrication, and turbulent dispersion are incorporated in the model. A 1/4th scaled water model of the slab continuous-casting mold was built to measure and investigate the bubble behavior and size distribution. A high speed video system was used to visualize the bubble behavior, and a digital image processing technique was used to measure the mean bubble diameter along the width of the mold. Predictions by previous mono-size model and MUSIG model are compared and validated against experimental data obtained from the water model. Effects of the water flow rate and gas flow rate on the mean bubble size were also investigated. Close agreements by MUSIG model were achieved for the gas volume fraction, liquid flow pattern, bubble breakage and coalescence, and local bubble Sauter mean diameter against observations and measurements of water model experiments.</description><subject>Bubble breakage</subject><subject>Bubble coalescence</subject><subject>Bubble size distribution</subject><subject>Bubbles</subject><subject>Coalescence</subject><subject>Coalescing</subject><subject>Continuous-casting mold</subject><subject>Fluid dynamics</subject><subject>Mathematical models</subject><subject>Molds</subject><subject>Physical simulation</subject><subject>Population balance</subject><subject>Slabs</subject><subject>Two-phase flow</subject><issn>0301-9322</issn><issn>1879-3533</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LAzEURYMoWKv_IStxM2MyyZjJRpCiVlDc1HXIp82QTmqSqeivd0pduRIevM3lcO8B4BKjGiN8c93Xvt-MofjtWmbrQvysG4TbGrEaIX4EZrhjvCItIcdghgjCFSdNcwrOcu4RQi2jZAZWL9HY4Id3GB1Uo1LBQmXXcudjylAOBmb_baHxuSSvxuLjAP0AJcxBKqjjUPwwxjFDLXPZYzYxmHNw4mTI9uL3z8Hbw_1qsayeXx-fFnfPlaaEl4pS5qxsWqe0pKxRiEmpMUeEy452hjqpGt5iLFmHFHHaYOamU5TTTjFNyBxcHbjbFD9Gm4vY-KxtCHKwUyeB2bSYMkLpFL09RHWKOSfrxDb5jUxfAiOx1yl68Ven2OsUiIlJ5wRYHgB2GrTzNomsvR20NT5ZXYSJ_r-oH3AOip4</recordid><startdate>20160301</startdate><enddate>20160301</enddate><creator>Liu, Z.Q.</creator><creator>Qi, F.S.</creator><creator>Li, B.K.</creator><creator>Cheung, S.C.P.</creator><general>Elsevier Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>KR7</scope><scope>L7M</scope></search><sort><creationdate>20160301</creationdate><title>Modeling of bubble behaviors and size distribution in a slab continuous casting mold</title><author>Liu, Z.Q. ; Qi, F.S. ; Li, B.K. ; Cheung, S.C.P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c439t-447fea25fbca472b07aac19039a848d4fab29511a780b3fcd17f17fb4948b7c33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Bubble breakage</topic><topic>Bubble coalescence</topic><topic>Bubble size distribution</topic><topic>Bubbles</topic><topic>Coalescence</topic><topic>Coalescing</topic><topic>Continuous-casting mold</topic><topic>Fluid dynamics</topic><topic>Mathematical models</topic><topic>Molds</topic><topic>Physical simulation</topic><topic>Population balance</topic><topic>Slabs</topic><topic>Two-phase flow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Liu, Z.Q.</creatorcontrib><creatorcontrib>Qi, F.S.</creatorcontrib><creatorcontrib>Li, B.K.</creatorcontrib><creatorcontrib>Cheung, S.C.P.</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>International journal of multiphase flow</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Liu, Z.Q.</au><au>Qi, F.S.</au><au>Li, B.K.</au><au>Cheung, S.C.P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling of bubble behaviors and size distribution in a slab continuous casting mold</atitle><jtitle>International journal of multiphase flow</jtitle><date>2016-03-01</date><risdate>2016</risdate><volume>79</volume><spage>190</spage><epage>201</epage><pages>190-201</pages><issn>0301-9322</issn><eissn>1879-3533</eissn><abstract>•A population balance model based on Euler–Euler two-fluid model was developed.•First time to study the polydispersed bubbly flow in a mold using MUSIG.•Bubble breakage and coalescence behavior was studied using water model.•Bubble size distribution was obtained using image analysis software of ImageJ.
Population balance equations combined with Eulerian–Eulerian two-phase model are employed to predict the polydispersed bubbly flow inside the slab continuous-casting mold. The class method, realized by the MUltiple-SIze- Group (MUSIG) model, alongside with suitable bubble breakage and coalescence kernels is adopted. A two-way momentum transfer mechanism model combines the bubble induced turbulence model and various interfacial forces including drag, lift, virtual mass, wall lubrication, and turbulent dispersion are incorporated in the model. A 1/4th scaled water model of the slab continuous-casting mold was built to measure and investigate the bubble behavior and size distribution. A high speed video system was used to visualize the bubble behavior, and a digital image processing technique was used to measure the mean bubble diameter along the width of the mold. Predictions by previous mono-size model and MUSIG model are compared and validated against experimental data obtained from the water model. Effects of the water flow rate and gas flow rate on the mean bubble size were also investigated. Close agreements by MUSIG model were achieved for the gas volume fraction, liquid flow pattern, bubble breakage and coalescence, and local bubble Sauter mean diameter against observations and measurements of water model experiments.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.ijmultiphaseflow.2015.07.009</doi><tpages>12</tpages></addata></record> |
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subjects | Bubble breakage Bubble coalescence Bubble size distribution Bubbles Coalescence Coalescing Continuous-casting mold Fluid dynamics Mathematical models Molds Physical simulation Population balance Slabs Two-phase flow |
title | Modeling of bubble behaviors and size distribution in a slab continuous casting mold |
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