Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data

Overflow tubular ball mills are depicted by an intrinsic pool of slurry at the toe of the ball charge, which facilitates the discharge of fine progenies (finished product) from the mill. To ensure that adequate slurry removal capacity is achieved while keeping the ball charge well saturated with slu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Powder technology 2011, Vol.211 (2), p.207-214
Hauptverfasser: Makokha, Augustine B., Moys, Michael H.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 214
container_issue 2
container_start_page 207
container_title Powder technology
container_volume 211
creator Makokha, Augustine B.
Moys, Michael H.
description Overflow tubular ball mills are depicted by an intrinsic pool of slurry at the toe of the ball charge, which facilitates the discharge of fine progenies (finished product) from the mill. To ensure that adequate slurry removal capacity is achieved while keeping the ball charge well saturated with slurry at all times (for efficient grinding), good knowledge of slurry transport inside the mill is essential. Most existing ball mill simulation models either inadequately account for the continuous exchange of slurry between the ball charge and the slurry pool or do not consider the realities such as back-mixing or bypasses in the system thereby leading to inaccurate prediction of slurry transport. To close that gap, a model is proposed here, in which both axial and radial flow parameters as well as a short-circuit component are incorporated as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics. The model fits adequately to the experimental data for all conditions tested. Further, the model results show that the slurry axial back-mixing and the radial exchange rate are both affected by slurry solids concentration and ball load volume. Also, the model reveals that under conditions of low slurry solids concentration (< 37 vol.%), a part of the feed slurry may simply short-circuit to the exit. These results just serve as a priori indication that, having correct knowledge of in-mill slurry transport dynamics would enable mill operational variables to be appropriately tuned to achieve desirable mill behavior that corresponds to maximum milling and energy efficiencies. The hydrodynamic transport of mineral slurry in an overflow discharge ball mill has been described by an improved mixing cell model based on experimental residence time distribution (RTD) data. The model incorporates both axial and radial flow parameters as well as a short-circuit component as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics as found in overflow ballmills. [Display omitted] ► A model is proposed to characterize the in-mill slurry hydrodynamic transport on the basis of experimental RTD data. ► It accounts for non-ideal flow conditions such as back-mixing, radial convective flow as well as bypass flows. ► Effects of both slurry % solids and ball load volume on slurry hydrodynamic transport and mixing were evident in the results. ► Slurry back-mixing and rate o
doi_str_mv 10.1016/j.powtec.2011.04.019
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_902342886</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0032591011002026</els_id><sourcerecordid>1777118081</sourcerecordid><originalsourceid>FETCH-LOGICAL-c425t-2fe642360ac8d2e27e4b928961ba5af5aa46ee8ba109d9154af7fdc567fbf3533</originalsourceid><addsrcrecordid>eNp9kU-L1TAUxYso-Bz9BoLZiG5a87dNN4I8dBQGXOiAu3Cb3rzJo22eSTtj_RZ-40l5g8vZJHDyuyeHe4riNaMVo6z-cKxO4W5GW3HKWEVlRVn7pNgx3YhScP3rabGjVPBStYw-L16kdKSU1oLRXfFvfwMR7IzR__XTgaRhiXElN2sfQ79OMHpL5ghTOoU4Ez8RIAPEA5Jwi9EN4Y7MS7dkiXQwDGT0-ehWAhPx4ylmqM_an83Z4vYeeswApKyHaXO2GEnEbD8lJD3M8LJ45mBI-Orhviiuv3z-uf9aXn2__Lb_dFVaydVccoe15KKmYHXPkTcou5brtmYdKHAKQNaIugNG275lSoJrXG9V3bjOCSXERfHu7Jtj_l4wzWb0aQsJE4YlmZZyIbnWdSbfP0qypmkY01SzjMozamNIKaIzp-hHiKth1GxdmaM5d2W2rgyVJneVx94-_ADJwuDywq1P_2e5FLRu1ca9OXMOgoFDzMz1j2ykaLZWuuWZ-HgmMK_u1mM0yXqcLPY-op1NH_zjUe4BvMm4zw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1777118081</pqid></control><display><type>article</type><title>Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data</title><source>Elsevier ScienceDirect Journals</source><creator>Makokha, Augustine B. ; Moys, Michael H.</creator><creatorcontrib>Makokha, Augustine B. ; Moys, Michael H.</creatorcontrib><description>Overflow tubular ball mills are depicted by an intrinsic pool of slurry at the toe of the ball charge, which facilitates the discharge of fine progenies (finished product) from the mill. To ensure that adequate slurry removal capacity is achieved while keeping the ball charge well saturated with slurry at all times (for efficient grinding), good knowledge of slurry transport inside the mill is essential. Most existing ball mill simulation models either inadequately account for the continuous exchange of slurry between the ball charge and the slurry pool or do not consider the realities such as back-mixing or bypasses in the system thereby leading to inaccurate prediction of slurry transport. To close that gap, a model is proposed here, in which both axial and radial flow parameters as well as a short-circuit component are incorporated as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics. The model fits adequately to the experimental data for all conditions tested. Further, the model results show that the slurry axial back-mixing and the radial exchange rate are both affected by slurry solids concentration and ball load volume. Also, the model reveals that under conditions of low slurry solids concentration (&lt; 37 vol.%), a part of the feed slurry may simply short-circuit to the exit. These results just serve as a priori indication that, having correct knowledge of in-mill slurry transport dynamics would enable mill operational variables to be appropriately tuned to achieve desirable mill behavior that corresponds to maximum milling and energy efficiencies. The hydrodynamic transport of mineral slurry in an overflow discharge ball mill has been described by an improved mixing cell model based on experimental residence time distribution (RTD) data. The model incorporates both axial and radial flow parameters as well as a short-circuit component as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics as found in overflow ballmills. [Display omitted] ► A model is proposed to characterize the in-mill slurry hydrodynamic transport on the basis of experimental RTD data. ► It accounts for non-ideal flow conditions such as back-mixing, radial convective flow as well as bypass flows. ► Effects of both slurry % solids and ball load volume on slurry hydrodynamic transport and mixing were evident in the results. ► Slurry back-mixing and rate of influx and efflux in the ball charge improved as the slurry % solids decreased. ► Possibilities of bypass flows for conditions of less dense slurry (&lt; 37 vol. % solids).</description><identifier>ISSN: 0032-5910</identifier><identifier>EISSN: 1873-328X</identifier><identifier>DOI: 10.1016/j.powtec.2011.04.019</identifier><identifier>CODEN: POTEBX</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Applied sciences ; Ball mill ; Ball mills ; Charge ; Chemical engineering ; Dynamics ; energy efficiency ; Exact sciences and technology ; Grinding ; Hydrodynamics ; Hydrodynamics of contact apparatus ; Mathematical modeling ; Mathematical models ; milling ; Mills ; Miscellaneous ; Mixing ; prediction ; simulation models ; Slurries ; Solid-solid systems ; Transport</subject><ispartof>Powder technology, 2011, Vol.211 (2), p.207-214</ispartof><rights>2011 Elsevier B.V.</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c425t-2fe642360ac8d2e27e4b928961ba5af5aa46ee8ba109d9154af7fdc567fbf3533</citedby><cites>FETCH-LOGICAL-c425t-2fe642360ac8d2e27e4b928961ba5af5aa46ee8ba109d9154af7fdc567fbf3533</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.powtec.2011.04.019$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,777,781,3537,4010,27904,27905,27906,45976</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=24306959$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Makokha, Augustine B.</creatorcontrib><creatorcontrib>Moys, Michael H.</creatorcontrib><title>Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data</title><title>Powder technology</title><description>Overflow tubular ball mills are depicted by an intrinsic pool of slurry at the toe of the ball charge, which facilitates the discharge of fine progenies (finished product) from the mill. To ensure that adequate slurry removal capacity is achieved while keeping the ball charge well saturated with slurry at all times (for efficient grinding), good knowledge of slurry transport inside the mill is essential. Most existing ball mill simulation models either inadequately account for the continuous exchange of slurry between the ball charge and the slurry pool or do not consider the realities such as back-mixing or bypasses in the system thereby leading to inaccurate prediction of slurry transport. To close that gap, a model is proposed here, in which both axial and radial flow parameters as well as a short-circuit component are incorporated as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics. The model fits adequately to the experimental data for all conditions tested. Further, the model results show that the slurry axial back-mixing and the radial exchange rate are both affected by slurry solids concentration and ball load volume. Also, the model reveals that under conditions of low slurry solids concentration (&lt; 37 vol.%), a part of the feed slurry may simply short-circuit to the exit. These results just serve as a priori indication that, having correct knowledge of in-mill slurry transport dynamics would enable mill operational variables to be appropriately tuned to achieve desirable mill behavior that corresponds to maximum milling and energy efficiencies. The hydrodynamic transport of mineral slurry in an overflow discharge ball mill has been described by an improved mixing cell model based on experimental residence time distribution (RTD) data. The model incorporates both axial and radial flow parameters as well as a short-circuit component as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics as found in overflow ballmills. [Display omitted] ► A model is proposed to characterize the in-mill slurry hydrodynamic transport on the basis of experimental RTD data. ► It accounts for non-ideal flow conditions such as back-mixing, radial convective flow as well as bypass flows. ► Effects of both slurry % solids and ball load volume on slurry hydrodynamic transport and mixing were evident in the results. ► Slurry back-mixing and rate of influx and efflux in the ball charge improved as the slurry % solids decreased. ► Possibilities of bypass flows for conditions of less dense slurry (&lt; 37 vol. % solids).</description><subject>Applied sciences</subject><subject>Ball mill</subject><subject>Ball mills</subject><subject>Charge</subject><subject>Chemical engineering</subject><subject>Dynamics</subject><subject>energy efficiency</subject><subject>Exact sciences and technology</subject><subject>Grinding</subject><subject>Hydrodynamics</subject><subject>Hydrodynamics of contact apparatus</subject><subject>Mathematical modeling</subject><subject>Mathematical models</subject><subject>milling</subject><subject>Mills</subject><subject>Miscellaneous</subject><subject>Mixing</subject><subject>prediction</subject><subject>simulation models</subject><subject>Slurries</subject><subject>Solid-solid systems</subject><subject>Transport</subject><issn>0032-5910</issn><issn>1873-328X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kU-L1TAUxYso-Bz9BoLZiG5a87dNN4I8dBQGXOiAu3Cb3rzJo22eSTtj_RZ-40l5g8vZJHDyuyeHe4riNaMVo6z-cKxO4W5GW3HKWEVlRVn7pNgx3YhScP3rabGjVPBStYw-L16kdKSU1oLRXfFvfwMR7IzR__XTgaRhiXElN2sfQ79OMHpL5ghTOoU4Ez8RIAPEA5Jwi9EN4Y7MS7dkiXQwDGT0-ehWAhPx4ylmqM_an83Z4vYeeswApKyHaXO2GEnEbD8lJD3M8LJ45mBI-Orhviiuv3z-uf9aXn2__Lb_dFVaydVccoe15KKmYHXPkTcou5brtmYdKHAKQNaIugNG275lSoJrXG9V3bjOCSXERfHu7Jtj_l4wzWb0aQsJE4YlmZZyIbnWdSbfP0qypmkY01SzjMozamNIKaIzp-hHiKth1GxdmaM5d2W2rgyVJneVx94-_ADJwuDywq1P_2e5FLRu1ca9OXMOgoFDzMz1j2ykaLZWuuWZ-HgmMK_u1mM0yXqcLPY-op1NH_zjUe4BvMm4zw</recordid><startdate>2011</startdate><enddate>2011</enddate><creator>Makokha, Augustine B.</creator><creator>Moys, Michael H.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>FBQ</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7SU</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>7ST</scope><scope>7U6</scope></search><sort><creationdate>2011</creationdate><title>Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data</title><author>Makokha, Augustine B. ; Moys, Michael H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c425t-2fe642360ac8d2e27e4b928961ba5af5aa46ee8ba109d9154af7fdc567fbf3533</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied sciences</topic><topic>Ball mill</topic><topic>Ball mills</topic><topic>Charge</topic><topic>Chemical engineering</topic><topic>Dynamics</topic><topic>energy efficiency</topic><topic>Exact sciences and technology</topic><topic>Grinding</topic><topic>Hydrodynamics</topic><topic>Hydrodynamics of contact apparatus</topic><topic>Mathematical modeling</topic><topic>Mathematical models</topic><topic>milling</topic><topic>Mills</topic><topic>Miscellaneous</topic><topic>Mixing</topic><topic>prediction</topic><topic>simulation models</topic><topic>Slurries</topic><topic>Solid-solid systems</topic><topic>Transport</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Makokha, Augustine B.</creatorcontrib><creatorcontrib>Moys, Michael H.</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environmental Engineering Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Environment Abstracts</collection><collection>Sustainability Science Abstracts</collection><jtitle>Powder technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Makokha, Augustine B.</au><au>Moys, Michael H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data</atitle><jtitle>Powder technology</jtitle><date>2011</date><risdate>2011</risdate><volume>211</volume><issue>2</issue><spage>207</spage><epage>214</epage><pages>207-214</pages><issn>0032-5910</issn><eissn>1873-328X</eissn><coden>POTEBX</coden><abstract>Overflow tubular ball mills are depicted by an intrinsic pool of slurry at the toe of the ball charge, which facilitates the discharge of fine progenies (finished product) from the mill. To ensure that adequate slurry removal capacity is achieved while keeping the ball charge well saturated with slurry at all times (for efficient grinding), good knowledge of slurry transport inside the mill is essential. Most existing ball mill simulation models either inadequately account for the continuous exchange of slurry between the ball charge and the slurry pool or do not consider the realities such as back-mixing or bypasses in the system thereby leading to inaccurate prediction of slurry transport. To close that gap, a model is proposed here, in which both axial and radial flow parameters as well as a short-circuit component are incorporated as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics. The model fits adequately to the experimental data for all conditions tested. Further, the model results show that the slurry axial back-mixing and the radial exchange rate are both affected by slurry solids concentration and ball load volume. Also, the model reveals that under conditions of low slurry solids concentration (&lt; 37 vol.%), a part of the feed slurry may simply short-circuit to the exit. These results just serve as a priori indication that, having correct knowledge of in-mill slurry transport dynamics would enable mill operational variables to be appropriately tuned to achieve desirable mill behavior that corresponds to maximum milling and energy efficiencies. The hydrodynamic transport of mineral slurry in an overflow discharge ball mill has been described by an improved mixing cell model based on experimental residence time distribution (RTD) data. The model incorporates both axial and radial flow parameters as well as a short-circuit component as an improvement to the simple mixing cell model to correctly describe the inherent in-mill slurry transport dynamics as found in overflow ballmills. [Display omitted] ► A model is proposed to characterize the in-mill slurry hydrodynamic transport on the basis of experimental RTD data. ► It accounts for non-ideal flow conditions such as back-mixing, radial convective flow as well as bypass flows. ► Effects of both slurry % solids and ball load volume on slurry hydrodynamic transport and mixing were evident in the results. ► Slurry back-mixing and rate of influx and efflux in the ball charge improved as the slurry % solids decreased. ► Possibilities of bypass flows for conditions of less dense slurry (&lt; 37 vol. % solids).</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.powtec.2011.04.019</doi><tpages>8</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0032-5910
ispartof Powder technology, 2011, Vol.211 (2), p.207-214
issn 0032-5910
1873-328X
language eng
recordid cdi_proquest_miscellaneous_902342886
source Elsevier ScienceDirect Journals
subjects Applied sciences
Ball mill
Ball mills
Charge
Chemical engineering
Dynamics
energy efficiency
Exact sciences and technology
Grinding
Hydrodynamics
Hydrodynamics of contact apparatus
Mathematical modeling
Mathematical models
milling
Mills
Miscellaneous
Mixing
prediction
simulation models
Slurries
Solid-solid systems
Transport
title Characterizing slurry hydrodynamic transport in a large overflow tubular ball mill by an improved mixing cell model based on tracer response data
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-17T22%3A38%3A29IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Characterizing%20slurry%20hydrodynamic%20transport%20in%20a%20large%20overflow%20tubular%20ball%20mill%20by%20an%20improved%20mixing%20cell%20model%20based%20on%20tracer%20response%20data&rft.jtitle=Powder%20technology&rft.au=Makokha,%20Augustine%20B.&rft.date=2011&rft.volume=211&rft.issue=2&rft.spage=207&rft.epage=214&rft.pages=207-214&rft.issn=0032-5910&rft.eissn=1873-328X&rft.coden=POTEBX&rft_id=info:doi/10.1016/j.powtec.2011.04.019&rft_dat=%3Cproquest_cross%3E1777118081%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1777118081&rft_id=info:pmid/&rft_els_id=S0032591011002026&rfr_iscdi=true