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dc.contributor.authorXu, J.en
dc.contributor.authorZhang, T.en
dc.contributor.authorGalenko, P. K.en
dc.date.accessioned2022-10-19T05:24:46Z-
dc.date.available2022-10-19T05:24:46Z-
dc.date.issued2022-
dc.identifier.citationXu J. Rod eutectic growth in bulk undercooled melts / J. Xu, T. Zhang, P. K. Galenko // Mathematical Methods in the Applied Sciences. — 2022. — Vol. 45. — Iss. 13. — P. 8022-8031.en
dc.identifier.issn1704214-
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85118310309&doi=10.1002%2fmma.7890&partnerID=40&md5=1e929483f579d2fda17d01d24e09820elink
dc.identifier.urihttp://elar.urfu.ru/handle/10995/118326-
dc.description.abstractThis article proposes an analytical model to understand the rod growth of eutectic in the bulk undercooled melt. Based on the previous derivations of the lamellar eutectic growth models, relaxing the assumptions of small Péclet numbers, the model is derived by considering melt kinetic and thermal undercoolings. The intent of this model is to predict the transitions in eutectic pattern for conditions of the low and high growth velocities. In addition to investigation of the transition between lamellar and rod eutectic patterns, mathematical simplifications of solving Bessel function are presented as well, which is the most important priority to model calculation. © 2021 The Authors. Mathematical Methods in the Applied Sciences published by John Wiley & Sons Ltd.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft, DFG: GA 1142/11-1; Natural Science Foundation of Shaanxi Provincial Department of Education: 18JS050; Key Science and Technology Program of Shaanxi Province: 2016KJXX-87en
dc.description.sponsorshipThis work was supported by the Key Science and Technology Program of Shaanxi Province (No. 2016KJXX-87) and the Natural Science Foundation of Shaanxi Provincial Department of Education (No. 18JS050). P. K. G. acknowledges financial support of the German Research Foundation (Deutsche Forschungsgemeinschaft [DFG]) under Project GA 1142/11-1. The authors thank J. T. Cao and A. L. Bao for their help in this work. Open Access funding enabled and organized by Projekt DEAL.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectGROWTHen
dc.subjectMODELen
dc.subjectROD EUTECTICen
dc.subjectUNDERCOOLINGen
dc.subjectEUTECTICSen
dc.subjectFUNCTIONSen
dc.subjectAPPLIED SCIENCEen
dc.subjectCONDITIONen
dc.subjectEUTECTIC GROWTHen
dc.subjectGROWTH MODELSen
dc.subjectLAMELLAR EUTECTICen
dc.subjectMATHEMATICAL METHODen
dc.subjectROD EUTECTICen
dc.subjectTHERMALen
dc.subjectUNDERCOOLED MELTen
dc.subjectUNDERCOOLINGSen
dc.subjectUNDERCOOLINGen
dc.titleRod eutectic growth in bulk undercooled meltsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1002/mma.7890-
dc.identifier.scopus85118310309-
local.contributor.employeeXu, J., School of Materials and Chemical Engineering, Xi'an Technological University, Xi'an, China, Otto Schott Institute of Materials Research, Friedrich Schiller University Jena, Jena, Germanyen
local.contributor.employeeZhang, T., Institute for Frontier Materials, Deakin University, Geelong, VIC, Australiaen
local.contributor.employeeGalenko, P.K., Otto Schott Institute of Materials Research, Friedrich Schiller University Jena, Jena, Germany, Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Yekaterinburg, Russian Federationen
local.description.firstpage8022-
local.description.lastpage8031-
local.issue13-
local.volume45-
dc.identifier.wos000713397600001-
local.contributor.departmentSchool of Materials and Chemical Engineering, Xi'an Technological University, Xi'an, Chinaen
local.contributor.departmentOtto Schott Institute of Materials Research, Friedrich Schiller University Jena, Jena, Germanyen
local.contributor.departmentInstitute for Frontier Materials, Deakin University, Geelong, VIC, Australiaen
local.contributor.departmentLaboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Yekaterinburg, Russian Federationen
local.identifier.pure30718242-
local.identifier.eid2-s2.0-85118310309-
local.identifier.wosWOS:000713397600001-
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