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dc.contributor.authorAlexandrov, D. V.en
dc.contributor.authorAlexandrova, I. V.en
dc.contributor.authorIvanov, A. A.en
dc.date.accessioned2022-05-12T08:29:44Z-
dc.date.available2022-05-12T08:29:44Z-
dc.date.issued2021-
dc.identifier.citationAlexandrov D. V. Mathematical Modeling of Vaporization Process for a Polydisperse Ensemble of Liquid Drops / D. V. Alexandrov, I. V. Alexandrova, A. A. Ivanov // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12101-12107.en
dc.identifier.issn0170-4214-
dc.identifier.otherAll Open Access, Green3
dc.identifier.urihttp://elar.urfu.ru/handle/10995/112158-
dc.description.abstractIn this paper, we study the vaporization process of a polydisperse ensemble of liquid drops on the basis of a nonlinear set of balance and kinetics equations for the particle-radius distribution function and temperature in the gaseous phase. We found an exact parametric solution to this problem using a modified time variable and the Laplace integral transform method. The distribution function of vaporizing drops as well as its moments, the temperature dynamics in gas, and the unvaporized mass of drops are found. The initial particle-radius distribution shifts to smaller particle radii with increasing the vaporization time. As this takes place, the temperature difference between the drops and gas decreases with time. It is shown that the heat of vaporization and initial total number of particles in the system substantially influence the dynamics of a polydisperse ensemble of liquid drops. © 2020 John Wiley & Sons, Ltd.en
dc.description.sponsorshipThis work was supported by the Russian Foundation for Basic Research (project no. 20‐08‐00199).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherJohn Wiley and Sons Ltden1
dc.publisherWileyen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMath Methods Appl Sci2
dc.sourceMathematical Methods in the Applied Sciencesen
dc.subjectAPPLIED MATHEMATICAL MODELINGen
dc.subjectINTEGRAL EQUATIONSen
dc.subjectPHASE TRANSITIONSen
dc.subjectVAPORIZATIONen
dc.subjectDISTRIBUTION FUNCTIONSen
dc.subjectINTEGRAL EQUATIONSen
dc.subjectLIQUIDSen
dc.subjectNONLINEAR EQUATIONSen
dc.subjectPOLYDISPERSITYen
dc.subjectVAPORIZATIONen
dc.subjectHEAT OF VAPORIZATIONen
dc.subjectKINETICS EQUATIONen
dc.subjectLAPLACE INTEGRAL TRANSFORMen
dc.subjectPARAMETRIC SOLUTIONSen
dc.subjectPARTICLE RADIIen
dc.subjectTEMPERATURE DIFFERENCESen
dc.subjectTEMPERATURE DYNAMICSen
dc.subjectVAPORIZATION PROCESSen
dc.subjectDROPSen
dc.titleMathematical Modeling of Vaporization Process for a Polydisperse Ensemble of Liquid Dropsen
dc.typeConference Paperen
dc.typeinfo:eu-repo/semantics/conferenceObjecten
dc.typeinfo:eu-repo/semantics/submittedVersionen
dc.identifier.doi10.1002/mma.6749-
dc.identifier.scopus85088130797-
local.contributor.employeeAlexandrov, D.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Alexandrova, I.V., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federation; Ivanov, A.A., Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.description.firstpage12101-
local.description.lastpage12107-
local.issue16-
local.volume44-
dc.identifier.wos000549772900001-
local.contributor.departmentDepartment of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg, Russian Federationen
local.identifier.pure23817875-
local.identifier.eid2-s2.0-85088130797-
local.fund.rffi20‐08‐00199-
local.identifier.wosWOS:000549772900001-
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