{"title":"Heat Conduction Problem for a Nonstationary Point Heat Source in a Plane-Layered Medium","authors":"A. B. Petrin","doi":"10.1134/s0018151x23010108","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The problem of heat conduction is studied for a point nonstationary heat source located inside or outside a plane-layered medium. A solution is found for a harmonic heat source, followed by a solution for an arbitrary time dependence of point heat release. The harmonic solution to the problem for arbitrary plane-layered media is obtained in the form of a one-dimensional integral.</p>","PeriodicalId":13163,"journal":{"name":"High Temperature","volume":"8 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"High Temperature","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1134/s0018151x23010108","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of heat conduction is studied for a point nonstationary heat source located inside or outside a plane-layered medium. A solution is found for a harmonic heat source, followed by a solution for an arbitrary time dependence of point heat release. The harmonic solution to the problem for arbitrary plane-layered media is obtained in the form of a one-dimensional integral.
期刊介绍：
High Temperature is an international peer reviewed journal that publishes original papers and reviews written by theoretical and experimental researchers. The journal deals with properties and processes in low-temperature plasma; thermophysical properties of substances including pure materials, mixtures and alloys; the properties in the vicinity of the critical point, equations of state; phase equilibrium; heat and mass transfer phenomena, in particular, by forced and free convections; processes of boiling and condensation, radiation, and complex heat transfer; experimental methods and apparatuses; high-temperature facilities for power engineering applications, etc. The journal reflects the current trends in thermophysical research. It presents the results of present-day experimental and theoretical studies in the processes of complex heat transfer, thermal, gas dynamic processes, and processes of heat and mass transfer, as well as the latest advances in the theoretical description of the properties of high-temperature media.
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