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dc.contributor.authorMakoveeva, E.en
dc.contributor.authorAlexandrov, D.en
dc.contributor.authorIvanov, A.en
dc.date.accessioned2022-05-12T08:29:39Z-
dc.date.available2022-05-12T08:29:39Z-
dc.date.issued2021-
dc.identifier.citationMakoveeva E. Mathematical Modeling of Crystallization Process from a Supercooled Binary Melt / E. Makoveeva, D. Alexandrov, A. Ivanov // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12244-12251.en
dc.identifier.issn0170-4214-
dc.identifier.otherAll Open Access, Green3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/112153-
dc.description.abstractThe article is concerned with the analytical solution to the integro-differential system of balance and kinetic equations that describe the crystal growth phenomenon in a binary system for various nucleation kinetics. The effect of impurity concentration on the evolutionary behavior of crystals is shown. The nonlinear dynamics of a supercooled binary melt is studied with allowance for the withdrawal mechanism of product crystals from a metastable liquid of the crystallizer. © 2020 John Wiley & Sons, Ltd.en
dc.description.sponsorshipThis study comprises different parts of research work including (i) the model formulation, approximate analytical solution using the saddle-point technique, and separation of variables method and (ii) numerical simulations based on the analytical solutions obtained. Different parts of the present study were supported by different grants and programs. With this in mind, the authors are grateful to the following foundations, programs, and grants. Theoretical part (i) was supported by the Foundation for the Advancement of Theoretical Physics and Mathematics “BASIS” (20-1-5-82-1). Numerical part (ii) based on the developed analysis was made possible due to the financial support of the Russian Science Foundation (project no. 19-71-10044).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden1
dc.publisherWileyen
dc.relationinfo:eu-repo/grantAgreement/RSF//19-71-10044en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMath Methods Appl Sci2
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectMATHEMATICAL MODELINGen
dc.subjectPHASE TRANSFORMATIONSen
dc.subjectCRYSTAL IMPURITIESen
dc.subjectGROWTH KINETICSen
dc.subjectINTEGRAL EQUATIONSen
dc.subjectSUPERCOOLINGen
dc.subjectCRYSTALLIZATION PROCESSen
dc.subjectGROWTH PHENOMENAen
dc.subjectIMPURITY CONCENTRATIONen
dc.subjectINTEGRO-DIFFERENTIAL SYSTEMen
dc.subjectKINETIC EQUATIONSen
dc.subjectMETASTABLE LIQUIDen
dc.subjectNUCLEATION KINETICSen
dc.subjectPRODUCT CRYSTALSen
dc.subjectCRYSTALLIZATIONen
dc.titleMathematical Modeling of Crystallization Process from a Supercooled Binary Melten
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/submittedVersionen
dc.identifier.doi10.1002/mma.6970-
dc.identifier.scopus85092620026-
local.contributor.employeeMakoveeva, E., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Alexandrov, D., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Ivanov, A., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.description.firstpage12244-
local.description.lastpage12251-
local.issue16-
local.volume44-
dc.identifier.wos000579217500001-
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.identifier.pure23818363-
local.identifier.eid2-s2.0-85092620026-
local.fund.rsf19-71-10044-
local.identifier.wosWOS:000579217500001-
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