Approximate calculation of breakage parameters from batch grinding tests
Identifieur interne : 000E21 ( Istex/Corpus ); précédent : 000E20; suivant : 000E22Approximate calculation of breakage parameters from batch grinding tests
Auteurs : Henri Berthiaux ; Christelle Varinot ; John DoddsSource :
- Chemical Engineering Science [ 0009-2509 ] ; 1996.
English descriptors
- KwdEn :
- Approximate calculation, Approximate solution, Batch experiments, Bead, Bead mill, Berthiaux, Breakage, Breakage function, Breakage parameters, Broyage, Characteristic roots, Column matrix, Continuous mode, Cumulative fraction, Cumulative weight fraction, Diagonal matrix, Dimensionless, Dimensionless vector, Doctorate thesis, Elsevier science, Experimental results, Geometric progression, Hydrargillite, Initial period, Inpl nancy, Kinetics, Mass fraction, Matrix, Particle size, Passage matrix, Powder technol, Residence time, Selection function, Selection functions, Selection matrices, Selection parameters, Short period, Transfer matrix, Unit matrix, grinding, selection, stirred bead mill.
- Teeft :
- Approximate calculation, Approximate solution, Batch experiments, Bead, Bead mill, Berthiaux, Breakage, Breakage function, Breakage parameters, Broyage, Characteristic roots, Column matrix, Continuous mode, Cumulative fraction, Cumulative weight fraction, Diagonal matrix, Dimensionless, Dimensionless vector, Doctorate thesis, Elsevier science, Experimental results, Geometric progression, Hydrargillite, Initial period, Inpl nancy, Kinetics, Mass fraction, Matrix, Particle size, Passage matrix, Powder technol, Residence time, Selection function, Selection functions, Selection matrices, Selection parameters, Short period, Transfer matrix, Unit matrix.
Abstract
Abstract: A mathematical treatment, based largely on the work of Kapur, has been developed to obtain breakage and selection matrices from batch grinding tests which are valid for the initial period of the process. The method is illustrated using experimental results for the grinding of hydrargillite and carbon in a laboratory scale stirred bead mill for 15 min and it is shown that this restriction still allows application of the method to continuous grinding processes in the mill. The breakage and selection functions determined by the method are shown to give a good representation of the grinding kinetics and to lead to a normalized breakage function.
Url:
DOI: 10.1016/0009-2509(96)00275-8
Links to Exploration step
ISTEX:CB2AD0AEE564F42FDB5DCFC93D3060C3246023FFLe document en format XML
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The method is illustrated using experimental results for the grinding of hydrargillite and carbon in a laboratory scale stirred bead mill for 15 min and it is shown that this restriction still allows application of the method to continuous grinding processes in the mill. The breakage and selection functions determined by the method are shown to give a good representation of the grinding kinetics and to lead to a normalized breakage function.</p></abstract><abstract xml:lang="fr"><p>Résumé: A partir d'un raisonnement purement mathématique et basé en grande partie sur les travaux de Kapur, nous montrons qu'il est très facile d'extraire un couple de matrices de broyage et de sélection dont la validité est assurée durant les premiers instants d'une expérience de broyage discontinu. Ces notions sont appliquées au broyage de suspensions d'hydrargillite et de carbone dans un broyeur à billes de laboratoire, pour lequel le temps de séjour moyen des particules est suffisamment faible, ce qui permet de restreindre l'étude de la cinétique de broyage aux quinze premières minutes de la fragmentation. Le calcul de ces fonctions de sélection et de broyage approchées conduit à une bonne représentation des courbes expérimentales, et montre que l'on peut considérer que cette dernière fonction est normalisable.</p></abstract><textClass xml:lang="en"><keywords scheme="keyword"><list><head>Keywords</head><item><term>Breakage</term></item><item><term>selection</term></item><item><term>grinding</term></item><item><term>stirred bead mill</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1996">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/CB2AD0AEE564F42FDB5DCFC93D3060C3246023FF/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: tail"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla" xml:lang="en"><item-info><jid>CES</jid><aid>96002758</aid><ce:pii>0009-2509(96)00275-8</ce:pii><ce:doi>10.1016/0009-2509(96)00275-8</ce:doi><ce:copyright type="unknown" year="1996"></ce:copyright></item-info><head><ce:title>Approximate calculation of breakage parameters from batch grinding tests</ce:title><ce:author-group><ce:author><ce:given-name>Henri</ce:given-name><ce:surname>Berthiaux</ce:surname></ce:author><ce:author><ce:given-name>Christelle</ce:given-name><ce:surname>Varinot</ce:surname></ce:author><ce:affiliation><ce:textfn>Laboratoire des Sciences du Génie Chimique, CNRS-ENSIC, 1 rue Grandville, 54001 Nancy, France</ce:textfn></ce:affiliation></ce:author-group><ce:author-group><ce:author><ce:given-name>John</ce:given-name><ce:surname>Dodds</ce:surname><ce:cross-ref refid="COR1"><ce:sup loc="post">∗</ce:sup></ce:cross-ref></ce:author><ce:affiliation><ce:textfn>Ecole des Mines d'Albi-Carmaux, Campus Jarlard, 81013 Albi Cedex 09, France</ce:textfn></ce:affiliation><ce:correspondence id="COR1"><ce:label>∗</ce:label><ce:text>Corresponding author.</ce:text></ce:correspondence></ce:author-group><ce:date-received day="16" month="6" year="1995"></ce:date-received><ce:date-accepted day="15" month="2" year="1996"></ce:date-accepted><ce:abstract class="author"><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para view="all" id="simple-para.0010">A mathematical treatment, based largely on the work of Kapur, has been developed to obtain breakage and selection matrices from batch grinding tests which are valid for the initial period of the process. The method is illustrated using experimental results for the grinding of hydrargillite and carbon in a laboratory scale stirred bead mill for 15 min and it is shown that this restriction still allows application of the method to continuous grinding processes in the mill. The breakage and selection functions determined by the method are shown to give a good representation of the grinding kinetics and to lead to a normalized breakage function.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:abstract xml:lang="fr" class="author"><ce:section-title>Résumé</ce:section-title><ce:abstract-sec><ce:simple-para view="all" id="simple-para.0015">A partir d'un raisonnement purement mathématique et basé en grande partie sur les travaux de Kapur, nous montrons qu'il est très facile d'extraire un couple de matrices de broyage et de sélection dont la validité est assurée durant les premiers instants d'une expérience de broyage discontinu. Ces notions sont appliquées au broyage de suspensions d'hydrargillite et de carbone dans un broyeur à billes de laboratoire, pour lequel le temps de séjour moyen des particules est suffisamment faible, ce qui permet de restreindre l'étude de la cinétique de broyage aux quinze premières minutes de la fragmentation. Le calcul de ces fonctions de sélection et de broyage approchées conduit à une bonne représentation des courbes expérimentales, et montre que l'on peut considérer que cette dernière fonction est normalisable.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords class="keyword"><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Breakage</ce:text></ce:keyword><ce:keyword><ce:text>selection</ce:text></ce:keyword><ce:keyword><ce:text>grinding</ce:text></ce:keyword><ce:keyword><ce:text>stirred bead mill</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Approximate calculation of breakage parameters from batch grinding tests</title></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>Approximate calculation of breakage parameters from batch grinding tests</title></titleInfo><name type="personal"><namePart type="given">Henri</namePart><namePart type="family">Berthiaux</namePart><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-ENSIC, 1 rue Grandville, 54001 Nancy, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Christelle</namePart><namePart type="family">Varinot</namePart><affiliation>Laboratoire des Sciences du Génie Chimique, CNRS-ENSIC, 1 rue Grandville, 54001 Nancy, France</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">John</namePart><namePart type="family">Dodds</namePart><affiliation>Ecole des Mines d'Albi-Carmaux, Campus Jarlard, 81013 Albi Cedex 09, France</affiliation><description>Corresponding author.</description><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1996</dateIssued><copyrightDate encoding="w3cdtf">1996</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><abstract lang="en">Abstract: A mathematical treatment, based largely on the work of Kapur, has been developed to obtain breakage and selection matrices from batch grinding tests which are valid for the initial period of the process. The method is illustrated using experimental results for the grinding of hydrargillite and carbon in a laboratory scale stirred bead mill for 15 min and it is shown that this restriction still allows application of the method to continuous grinding processes in the mill. The breakage and selection functions determined by the method are shown to give a good representation of the grinding kinetics and to lead to a normalized breakage function.</abstract><abstract lang="fr">Résumé: A partir d'un raisonnement purement mathématique et basé en grande partie sur les travaux de Kapur, nous montrons qu'il est très facile d'extraire un couple de matrices de broyage et de sélection dont la validité est assurée durant les premiers instants d'une expérience de broyage discontinu. Ces notions sont appliquées au broyage de suspensions d'hydrargillite et de carbone dans un broyeur à billes de laboratoire, pour lequel le temps de séjour moyen des particules est suffisamment faible, ce qui permet de restreindre l'étude de la cinétique de broyage aux quinze premières minutes de la fragmentation. Le calcul de ces fonctions de sélection et de broyage approchées conduit à une bonne représentation des courbes expérimentales, et montre que l'on peut considérer que cette dernière fonction est normalisable.</abstract><subject lang="en"><genre>Keywords</genre><topic>Breakage</topic><topic>selection</topic><topic>grinding</topic><topic>stirred bead mill</topic></subject><relatedItem type="host"><titleInfo><title>Chemical Engineering Science</title></titleInfo><titleInfo type="abbreviated"><title>CES</title></titleInfo><genre type="journal" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">199610</dateIssued></originInfo><identifier type="ISSN">0009-2509</identifier><identifier type="PII">S0009-2509(00)X0034-6</identifier><part><date>199610</date><detail type="volume"><number>51</number><caption>vol.</caption></detail><detail type="issue"><number>19</number><caption>no.</caption></detail><extent unit="issue-pages"><start>4355</start><end>4536</end></extent><extent unit="pages"><start>4509</start><end>4516</end></extent></part></relatedItem><identifier type="istex">CB2AD0AEE564F42FDB5DCFC93D3060C3246023FF</identifier><identifier type="ark">ark:/67375/6H6-N620L4M4-2</identifier><identifier type="DOI">10.1016/0009-2509(96)00275-8</identifier><identifier type="PII">0009-2509(96)00275-8</identifier><identifier type="ArticleID">96002758</identifier><recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-HKKZVM7B-M">elsevier</recordContentSource></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/document/CB2AD0AEE564F42FDB5DCFC93D3060C3246023FF/metadata/json</uri></json:item></metadata></istex></record>Pour manipuler ce document sous Unix (Dilib)
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