Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below
Identifieur interne : 009B89 ( Main/Exploration ); précédent : 009B88; suivant : 009B90Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below
Auteurs : R. Bennacer [France] ; M. El Ganaoui [France] ; E. Leonardi [Australie]Source :
- Applied mathematical modelling [ 0307-904X ] ; 2006.
Descripteurs français
- Pascal (Inist)
English descriptors
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Abstract
A computational model is developed to investigate three-dimensional fluid flow instability and transition to unsteadiness. The simulated domain corresponds to a parallelepiped configuration which is a restriction to the fluid phase of commonly used configurations in crystal growth (viz. Bridgman configuration). In the present work, this problem is studied using three-dimensional simulations and focuses on symmetry breaking and transition to unsteadiness occurring for a low Prandtl number fluid (Pr = 0.01). Three-dimensional simulations presented thus overcome the limitation of the two-dimensional approach. It has been found that the initially steady symmetric flow in the three-dimensional case becomes asymmetric for lower Ra number than for the two-dimensional case. The breaking in symmetry occurs firstly in the transverse plane. For the relatively low Ra number we still have no intensification in the global heat transfer but it appears that the heat transfer increases locally on the bottom and decreases on the vertical active walls. The classical spiral flows typical characterizing the three-dimensional effect (in the third direction) are also identified.
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Limoges, 123 Albert Thomas</s1><s2>87060 Limoges</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><wicri:noRegion>87060 Limoges</wicri:noRegion><wicri:noRegion>123 Albert Thomas</wicri:noRegion><wicri:noRegion>87060 Limoges</wicri:noRegion></affiliation></author><author><name sortKey="Leonardi, E" sort="Leonardi, E" uniqKey="Leonardi E" first="E." last="Leonardi">E. Leonardi</name><affiliation wicri:level="1"><inist:fA14 i1="03"><s1>The University of New South Wales</s1><s2>Sydney, 2052</s2><s3>AUS</s3><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>The University of New South Wales</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">06-0516533</idno><date when="2006">2006</date><idno type="stanalyst">PASCAL 06-0516533 INIST</idno><idno type="RBID">Pascal:06-0516533</idno><idno type="wicri:Area/PascalFrancis/Corpus">004062</idno><idno type="wicri:Area/PascalFrancis/Curation">002033</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">003C49</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">003C49</idno><idno type="wicri:doubleKey">0307-904X:2006:Bennacer R:symmetry:breaking:of</idno><idno type="wicri:Area/Main/Merge">00A671</idno><idno type="wicri:Area/Main/Curation">009B89</idno><idno type="wicri:Area/Main/Exploration">009B89</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Symmetry breaking of melt flow typically encountered in a Bridgman configuration heated from below</title><author><name sortKey="Bennacer, R" sort="Bennacer, R" uniqKey="Bennacer R" first="R." last="Bennacer">R. Bennacer</name><affiliation wicri:level="3"><inist:fA14 i1="01"><s1>LEEVAM, Univ. Cergy-Pontoise, 5 mail Gay Lussac</s1><s2>Neuville sur Oise 95031</s2><s3>FRA</s3><sZ>1 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Île-de-France</region></placeName></affiliation></author><author><name sortKey="El Ganaoui, M" sort="El Ganaoui, M" uniqKey="El Ganaoui M" first="M." last="El Ganaoui">M. El Ganaoui</name><affiliation wicri:level="3"><inist:fA14 i1="02"><s1>SPCTS UMR CNRS 6638, Univ. Limoges, 123 Albert Thomas</s1><s2>87060 Limoges</s2><s3>FRA</s3><sZ>2 aut.</sZ></inist:fA14><country>France</country><placeName><region type="region" nuts="2">Nouvelle-Aquitaine</region><region type="old region" nuts="2">Limousin</region><settlement type="city">Limoges</settlement></placeName></affiliation></author><author><name sortKey="Leonardi, E" sort="Leonardi, E" uniqKey="Leonardi E" first="E." last="Leonardi">E. Leonardi</name><affiliation wicri:level="1"><inist:fA14 i1="03"><s1>The University of New South Wales</s1><s2>Sydney, 2052</s2><s3>AUS</s3><sZ>3 aut.</sZ></inist:fA14><country>Australie</country><wicri:noRegion>The University of New South Wales</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Applied mathematical modelling</title><title level="j" type="abbreviated">Appl. math. model.</title><idno type="ISSN">0307-904X</idno><imprint><date when="2006">2006</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Applied mathematical modelling</title><title level="j" type="abbreviated">Appl. math. model.</title><idno type="ISSN">0307-904X</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Asymmetry</term><term>Crystal growth</term><term>Crystal growth from melts</term><term>Heat transfer</term><term>Melts</term><term>Modelling</term><term>Prandtl number</term><term>Steady flow</term><term>Symmetry breaking</term><term>Three dimensional flow</term><term>Vertical wall</term><term>Vortex flow</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Etat fondu</term><term>Croissance cristalline en phase fondue</term><term>Ecoulement tridimensionnel</term><term>Croissance cristalline</term><term>Ecoulement permanent</term><term>Transfert chaleur</term><term>Ecoulement tourbillonnaire</term><term>Nombre Prandtl</term><term>Paroi verticale</term><term>Brisure symétrie</term><term>Modélisation</term><term>Asymétrie</term><term>.</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">A computational model is developed to investigate three-dimensional fluid flow instability and transition to unsteadiness. The simulated domain corresponds to a parallelepiped configuration which is a restriction to the fluid phase of commonly used configurations in crystal growth (viz. Bridgman configuration). In the present work, this problem is studied using three-dimensional simulations and focuses on symmetry breaking and transition to unsteadiness occurring for a low Prandtl number fluid (Pr = 0.01). Three-dimensional simulations presented thus overcome the limitation of the two-dimensional approach. It has been found that the initially steady symmetric flow in the three-dimensional case becomes asymmetric for lower Ra number than for the two-dimensional case. The breaking in symmetry occurs firstly in the transverse plane. For the relatively low Ra number we still have no intensification in the global heat transfer but it appears that the heat transfer increases locally on the bottom and decreases on the vertical active walls. The classical spiral flows typical characterizing the three-dimensional effect (in the third direction) are also identified.</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Limousin</li><li>Nouvelle-Aquitaine</li><li>Île-de-France</li></region><settlement><li>Limoges</li></settlement></list><tree><country name="France"><region name="Île-de-France"><name sortKey="Bennacer, R" sort="Bennacer, R" uniqKey="Bennacer R" first="R." last="Bennacer">R. Bennacer</name></region><name sortKey="El Ganaoui, M" sort="El Ganaoui, M" uniqKey="El Ganaoui M" first="M." last="El Ganaoui">M. El Ganaoui</name></country><country name="Australie"><noRegion><name sortKey="Leonardi, E" sort="Leonardi, E" uniqKey="Leonardi E" first="E." last="Leonardi">E. Leonardi</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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