{"title":"Modeling of Heat Transfer in a Plate Made of Composite Material in the Presence of a Thermal Energy Sink","authors":"O. V. Tushavina, M. S. Egorova, P. F. Pronina","doi":"10.1134/s1995080224602509","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The paper is focused on mathematical modeling of heat transfer in an anisotropic plate with heat energy drain due to various physical and chemical transformations inside the material and under conditions of exponential heat transfer at the boundary. The analytical solution of the second initial boundary value problem of heat conduction with nonlinear heat energy flow is obtained and investigated.</p>","PeriodicalId":46135,"journal":{"name":"Lobachevskii Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lobachevskii Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995080224602509","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The paper is focused on mathematical modeling of heat transfer in an anisotropic plate with heat energy drain due to various physical and chemical transformations inside the material and under conditions of exponential heat transfer at the boundary. The analytical solution of the second initial boundary value problem of heat conduction with nonlinear heat energy flow is obtained and investigated.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
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