1. Электронный научный архив УрФУ
  2. 00. Общеуниверситетские коллекции
  3. Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC
Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на этот ресурс: http://elar.urfu.ru/handle/10995/118330
Полная запись метаданных
Поле DCЗначениеЯзык
dc.contributor.authorNizovtseva, I. G.en
dc.contributor.authorIvanov, A. A.en
dc.contributor.authorAlexandrova, I. V.en
dc.date.accessioned2022-10-19T05:24:57Z-
dc.date.available2022-10-19T05:24:57Z-
dc.date.issued2022-
dc.identifier.citationNizovtseva I. G. Approximate analytical solution of the integro-differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanism / I. G. Nizovtseva, A. A. Ivanov, I. V. Alexandrova // Mathematical Methods in the Applied Sciences. — 2022. — Vol. 45. — Iss. 13. — P. 8170-8178.en
dc.identifier.issn1704214-
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85123633132&doi=10.1002%2fmma.8112&partnerID=40&md5=959ff64ff11bd72e4a965be8fa87be15link
dc.identifier.urihttp://elar.urfu.ru/handle/10995/118330-
dc.description.abstractThis paper deals with an approximate analytical solution of an integro-differential model describing nucleation and growth of particles. The model includes a thermal-mass exchange with the environment and the removal of product crystals from a metastable medium. The method developed for solving model equations (kinetic equation for the particle-size distribution function and balance equations for temperature/impurity concentration) is based on the saddle point technique for calculating the Laplace-type integral. We show that the metastability degree decreases with time at a fixed mass (heat) flux. The crystal-size distribution function is an irregular bell-shaped curve increasing with the intensification of heat and mass exchange. © 2022 John Wiley & Sons, Ltd.en
dc.description.sponsorshipRussian Science Foundation, RSF: 19-71-10044en
dc.description.sponsorshipThis work was supported by the Russian Science Foundation (project no. 19-71-10044).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden
dc.relationinfo:eu-repo/grantAgreement/RSF//19-71-10044en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectAPPLIED MATHEMATICAL MODELINGen
dc.subjectCRYSTAL GROWTHen
dc.subjectINTEGRO-DIFFERENTIAL EQUATIONSen
dc.subjectMETASTABILITY REMOVALen
dc.subjectPARTICULATE ASSEMBLAGESen
dc.subjectANALYTICAL MODELSen
dc.subjectCRYSTALSen
dc.subjectDISTRIBUTION FUNCTIONSen
dc.subjectINTEGRAL EQUATIONSen
dc.subjectPARTICLE SIZEen
dc.subjectPARTICLE SIZE ANALYSISen
dc.subjectAPPROXIMATE ANALYTICAL SOLUTIONSen
dc.subjectBULK CRYSTALLIZATIONen
dc.subjectDIFFERENTIAL MODELSen
dc.subjectGROWTH OF PARTICLESen
dc.subjectMASS-EXCHANGEen
dc.subjectMETASTABLE LIQUIDen
dc.subjectMETASTABLESen
dc.subjectNUCLEATION AND GROWTHen
dc.subjectPRODUCT CRYSTALSen
dc.subjectTHERMAL MASSen
dc.subjectSIZE DISTRIBUTIONen
dc.titleApproximate analytical solution of the integro-differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanismen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1002/mma.8112-
dc.identifier.scopus85123633132-
local.contributor.employeeNizovtseva, I.G., Physikalisch-Astronomische Fakultät, Friedrich-Schiller-Universität Jena, Jena, Germany, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.contributor.employeeIvanov, A.A., Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.contributor.employeeAlexandrova, I.V., Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.description.firstpage8170-
local.description.lastpage8178-
local.issue13-
local.volume45-
dc.identifier.wos000747028500001-
local.contributor.departmentPhysikalisch-Astronomische Fakultät, Friedrich-Schiller-Universität Jena, Jena, Germanyen
local.contributor.departmentLaboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.identifier.pure30717513-
local.identifier.eid2-s2.0-85123633132-
local.fund.rsf19-71-10044-
local.identifier.wosWOS:000747028500001-
Располагается в коллекциях:Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

Файлы этого ресурса:
Файл Описание РазмерФормат 
2-s2.0-85123633132.pdf1,79 MBAdobe PDFПросмотреть/Открыть
Показать базовое описание ресурса Статистика  Google Scholar





Все ресурсы в архиве электронных ресурсов защищены авторским правом, все права сохранены.