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dc.contributor.authorNikishina, M. A.en
dc.contributor.authorAlexandrov, D. V.en
dc.date.accessioned2022-10-19T05:24:36Z-
dc.date.available2022-10-19T05:24:36Z-
dc.date.issued2021-
dc.identifier.citationNikishina M. A. Mathematical modeling of the growth of ellipsoidal crystals in metastable melts and solutions / M. A. Nikishina, D. V. Alexandrov // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12252-12259.en
dc.identifier.issn1704214-
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85096789381&doi=10.1002%2fmma.6987&partnerID=40&md5=321fa802fb03781484e77e9ce9e156adlink
dc.identifier.urihttp://elar.urfu.ru/handle/10995/118320-
dc.description.abstractThe evolution of individual crystals of ellipsoidal shape in supercooled one-component and binary melts as well as in supersaturated solutions is studied theoretically. The crystal volume growth rate is derived using the prolate ellipsoidal coordinates. We show that this rate is a function of the current crystal volume and supercooling/supersaturation of the ambient liquid. Also, we demonstrate that the particle growth rate increases with increasing the volume of ellipsoidal crystals and supercooling. © 2020 John Wiley & Sons, Ltd.en
dc.description.sponsorshipRussian Science Foundation, RSF: 18-19-00008en
dc.description.sponsorshipThis work was supported by the Russian Science Foundation (Grant no. 18-19-00008).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden
dc.relationinfo:eu-repo/grantAgreement/RSF//18-19-00008en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectCRYSTAL GROWTHen
dc.subjectELLIPSOIDAL PARTICLESen
dc.subjectMATHEMATICAL MODELINGen
dc.subjectNUCLEATIONen
dc.subjectPHASE TRANSFORMATIONSen
dc.subjectCRYSTALSen
dc.subjectSUPERCOOLINGen
dc.subjectBINARY MELTen
dc.subjectCRYSTAL VOLUMEen
dc.subjectELLIPSOIDAL COORDINATESen
dc.subjectMETASTABLE MELTSen
dc.subjectPARTICLE GROWTH RATESen
dc.subjectSUPERSATURATED SOLUTIONSen
dc.subjectGROWTH RATEen
dc.titleMathematical modeling of the growth of ellipsoidal crystals in metastable melts and solutionsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1002/mma.6987-
dc.identifier.scopus85096789381-
local.contributor.employeeNikishina, M.A., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Ekaterinburg, Russian Federationen
local.contributor.employeeAlexandrov, D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Ekaterinburg, Russian Federationen
local.description.firstpage12252-
local.description.lastpage12259-
local.issue16-
local.volume44-
dc.identifier.wos000588551100001-
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Mathematical Modeling of Physical and Chemical Processes in Multiphase Media, Ural Federal University, Ekaterinburg, Russian Federationen
local.identifier.pure23817951-
local.identifier.eid2-s2.0-85096789381-
local.fund.rsf18-19-00008-
local.identifier.wosWOS:000588551100001-
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