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dc.contributor.authorAlexandrov, D. V.en
dc.contributor.authorToropova, L. V.en
dc.contributor.authorTitova, E. A.en
dc.contributor.authorKao, A.en
dc.contributor.authorDemange, G.en
dc.contributor.authorGalenko, P. K.en
dc.contributor.authorRettenmayr, M.en
dc.date.accessioned2024-04-22T15:53:39Z-
dc.date.available2024-04-22T15:53:39Z-
dc.date.issued2021
dc.identifier.citationAlexandrov, DV, Toropova, LV, Titova, EA, Kao, A, Demange, G, Galenko, PK & Rettenmayr, M 2021, 'The shape of dendritic tips: A test of theory with computations and experiments', Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Том. 379, № 2205, 20200326. https://doi.org/10.1098/rsta.2020.0326harvard_pure
dc.identifier.citationAlexandrov, D. V., Toropova, L. V., Titova, E. A., Kao, A., Demange, G., Galenko, P. K., & Rettenmayr, M. (2021). The shape of dendritic tips: A test of theory with computations and experiments. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 379(2205), [20200326]. https://doi.org/10.1098/rsta.2020.0326apa_pure
dc.identifier.issn1364-503X
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access; Bronze Open Access3
dc.identifier.otherhttps://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.03261
dc.identifier.otherhttps://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0326pdf
dc.identifier.urihttp://elar.urfu.ru/handle/10995/132472-
dc.description.abstractThis article is devoted to the study of the tip shape of dendritic crystals grown from a supercooled liquid. The recently developed theory (Alexandrov & Galenko 2020 Phil. Trans. R. Soc. A 378, 20190243. (doi:10.1098/rsta.2019.0243)), which defines the shape function of dendrites, was tested against computational simulations and experimental data. For a detailed comparison, we performed calculations using two computational methods (phase-field and enthalpy-based methods), and also made a comparison with experimental data from various research groups. As a result, it is shown that the recently found shape function describes the tip region of dendritic crystals (at the crystal vertex and some distance from it) well. This article is part of the theme issue 'Transport phenomena in complex systems (part 1)'. © 2021 The Author(s).en
dc.description.sponsorshipEuropean Space Agency, ESA, (AO-2009-829)en
dc.description.sponsorshipDeutsche Forschungsgemeinschaft, DFG, (GA1142/11-1)en
dc.description.sponsorshipRussian Foundation for Basic Research, РФФИ, (19-32-51009)en
dc.description.sponsorshipDeutsches Zentrum für Luft- und Raumfahrt, DLR, (50MW1941)en
dc.description.sponsorshipMinistry of Education and Science of the Russian Federation, Minobrnauka, (FEUZ-2020-0057)en
dc.description.sponsorshipData accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally to the present article. Competing interests. We declare we have no competing interests. Funding. This article represents a complex study of the research problem on tip shapes of dendritic crystals. It was made possible under the financial support from the Russian Foundation for Basic Research (19-32-51009) and the Ministry of Science and Higher Education of the Russian Federation (FEUZ-2020-0057). Additionally, financial support is acknowledged from the European Space Agency (AO-2009-829), the Deutsches Zentrum für Luft-und Raumfahrt (50MW1941) and the Deutsche Forschungsgemeinschaft (GA1142/11-1).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherRoyal Society Publishingen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.rightscc-byother
dc.sourcePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences2
dc.sourcePhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciencesen
dc.subjectDENDRITESen
dc.subjectDENDRITIC TIPSen
dc.subjectENTHALPY-BASED METHODen
dc.subjectPHASE TRANSFORMATIONSen
dc.subjectPHASE-FIELD METHODen
dc.subjectSHAPE OF CRYSTALSen
dc.subjectCRYSTALSen
dc.subjectSUPERCOOLINGen
dc.subjectCOMPUTATIONAL SIMULATIONen
dc.subjectDENDRITIC CRYSTALen
dc.subjectPHASE FIELDSen
dc.subjectRESEARCH GROUPSen
dc.subjectSHAPE FUNCTIONSen
dc.subjectSUPERCOOLED LIQUIDSen
dc.subjectTIP SHAPEen
dc.subjectTRANSPORT PHENOMENAen
dc.subjectARTICLEen
dc.subjectCALCULATIONen
dc.subjectCOMPUTER SIMULATIONen
dc.subjectCRYSTALen
dc.subjectDENDRITEen
dc.subjectENTHALPYen
dc.subjectCOMPUTATION THEORYen
dc.titleThe shape of dendritic tips: A test of theory with computations and experimentsen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi46780319
dc.identifier.doi10.1098/rsta.2020.0326
dc.identifier.scopus85103808250
local.contributor.employeeAlexandrov D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federationen
local.contributor.employeeToropova L.V., Department of Theoretical and Mathematical Physics, Ural Mathematical Center, Ural Federal University, Ekaterinburg, 620000, Russian Federation, Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Jena, 07743, Germanyen
local.contributor.employeeTitova E.A., Department of Theoretical and Mathematical Physics, Ural Mathematical Center, Ural Federal University, Ekaterinburg, 620000, Russian Federationen
local.contributor.employeeKao A., Centre for Numerical Modelling and Process Analysis, University of Greenwich, Old Royal Naval College, Park Row, London, SE10 9LS, United Kingdomen
local.contributor.employeeDemange G., GPM, CNRS-UMR 6634, University of Rouen Normandy, Saint Étienne Du Rouvray, 76801, Franceen
local.contributor.employeeGalenko P.K., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federation, Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Jena, 07743, Germanyen
local.contributor.employeeRettenmayr M., Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Jena, 07743, Germanyen
local.description.firstpage178
local.description.lastpage189
local.issue2205
local.volume379
dc.identifier.wos675372800012
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, 620000, Russian Federationen
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Ural Mathematical Center, Ural Federal University, Ekaterinburg, 620000, Russian Federationen
local.contributor.departmentCentre for Numerical Modelling and Process Analysis, University of Greenwich, Old Royal Naval College, Park Row, London, SE10 9LS, United Kingdomen
local.contributor.departmentGPM, CNRS-UMR 6634, University of Rouen Normandy, Saint Étienne Du Rouvray, 76801, Franceen
local.contributor.departmentOtto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität Jena, Jena, 07743, Germanyen
local.identifier.pure22988118
local.identifier.purecfe4bda2-30e3-406f-ae5c-e4913a17ed09uuid
local.description.order20200326
local.identifier.eid2-s2.0-85103808250
local.identifier.wosWOS:000675372800012
local.identifier.pmid34275356
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