Prediction of the water distribution in a flowing foam
A two-dimensional mathematical model is presented which describes the time-averaged steady-state water distribution in a coalescing, flowing foam. The model uses previous work that predicts foam flow velocity and bubble coalescence. Drainage is described using the transient model of Verbist et al.,...
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| Veröffentlicht in: | Chemical engineering science 2000-10, Vol.55 (19), p.4021-4028 |
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| container_title | Chemical engineering science |
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| creator | Neethling, S.J Cilliers, J.J Woodburn, E.T |
| description | A two-dimensional mathematical model is presented which describes the time-averaged steady-state water distribution in a coalescing, flowing foam. The model uses previous work that predicts foam flow velocity and bubble coalescence. Drainage is described using the transient model of Verbist et al., extended into two-dimensions. The effect of coalescence is accommodated by introducing the concept of Plateau border length for each bubble. The formulation and solution technique of the highly non-linear partial differential equation is discussed in some detail. Simulations are shown that compare the water distribution for non-coalescing and coalescing foams. The model will have application for determining the liquid content of flowing foams, the entrainment of solids in flotation systems and for designing foam process equipment. |
| doi_str_mv | 10.1016/S0009-2509(00)00054-3 |
| format | Article |
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The model uses previous work that predicts foam flow velocity and bubble coalescence. Drainage is described using the transient model of Verbist et al., extended into two-dimensions. The effect of coalescence is accommodated by introducing the concept of Plateau border length for each bubble. The formulation and solution technique of the highly non-linear partial differential equation is discussed in some detail. Simulations are shown that compare the water distribution for non-coalescing and coalescing foams. The model will have application for determining the liquid content of flowing foams, the entrainment of solids in flotation systems and for designing foam process equipment.</description><subject>Chemistry</subject><subject>Colloidal state and disperse state</subject><subject>Drainage</subject><subject>Emulsions and suspensions</subject><subject>Emulsions. Microemulsions. Foams</subject><subject>Exact sciences and technology</subject><subject>Foam</subject><subject>General and physical chemistry</subject><subject>Liquid</subject><subject>Motion</subject><subject>Simulation</subject><issn>0009-2509</issn><issn>1873-4405</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLxDAQgIMouK7-BKEHET1UkyZN2pPI4gsWFNRzmKYTjXSbNem6-O_NPtCjp5lhvplhPkKOGb1glMnLZ0ppnRclrc8oPU9FKXK-Q0asUjwXgpa7ZPSL7JODGD9SqRSjIyKfArbODM73mbfZ8I7ZEgYMWeviEFyzWHdcn0FmO790_VtmPcwOyZ6FLuLRNo7J6-3Ny-Q-nz7ePUyup7nhUg05Go4tmEJQLJvactuwtgIAUfNWWCZT1hpQCpEilgDGSGYlNCBoY7iSfExON3vnwX8uMA565qLBroMe_SLqQsn0kywTWG5AE3yMAa2eBzeD8K0Z1StLem1JrxRoSvXakuZp7mR7AKKBzgbojYt_w4JXFSsSdrXBMD375TDoaBz2JrkLaAbdevfPoR_46nxk</recordid><startdate>20001001</startdate><enddate>20001001</enddate><creator>Neethling, S.J</creator><creator>Cilliers, J.J</creator><creator>Woodburn, E.T</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope></search><sort><creationdate>20001001</creationdate><title>Prediction of the water distribution in a flowing foam</title><author>Neethling, S.J ; Cilliers, J.J ; Woodburn, E.T</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-ec3edac240e5b9f3fb1d8aaa493d4f16aa4dca77ee0ee5aacc61f6aba40bc3763</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Chemistry</topic><topic>Colloidal state and disperse state</topic><topic>Drainage</topic><topic>Emulsions and suspensions</topic><topic>Emulsions. Microemulsions. Foams</topic><topic>Exact sciences and technology</topic><topic>Foam</topic><topic>General and physical chemistry</topic><topic>Liquid</topic><topic>Motion</topic><topic>Simulation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Neethling, S.J</creatorcontrib><creatorcontrib>Cilliers, J.J</creatorcontrib><creatorcontrib>Woodburn, E.T</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Chemical engineering science</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Neethling, S.J</au><au>Cilliers, J.J</au><au>Woodburn, E.T</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Prediction of the water distribution in a flowing foam</atitle><jtitle>Chemical engineering science</jtitle><date>2000-10-01</date><risdate>2000</risdate><volume>55</volume><issue>19</issue><spage>4021</spage><epage>4028</epage><pages>4021-4028</pages><issn>0009-2509</issn><eissn>1873-4405</eissn><coden>CESCAC</coden><abstract>A two-dimensional mathematical model is presented which describes the time-averaged steady-state water distribution in a coalescing, flowing foam. 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| ispartof | Chemical engineering science, 2000-10, Vol.55 (19), p.4021-4028 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Chemistry Colloidal state and disperse state Drainage Emulsions and suspensions Emulsions. Microemulsions. Foams Exact sciences and technology Foam General and physical chemistry Liquid Motion Simulation |
| title | Prediction of the water distribution in a flowing foam |
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