{"title":"具有高度纵向各向异性的各向异性热保护数学模型","authors":"V. F. Formalev, B. A. Garibyan","doi":"10.1134/s199508022460256x","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this work, based on a new analytical solution to the third initial-boundary value problem of thermal conductivity in an anisotropic strip, an effective method for thermal protection of high-speed aircraft is proposed by channeling heat flows from the central part of the strip to its periphery using an anisotropic material with a high degree of longitudinal anisotropy (longitudinal to transverse thermal conductivity coefficient ratio not less than twenty).</p>","PeriodicalId":46135,"journal":{"name":"Lobachevskii Journal of Mathematics","volume":"57 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Modeling of Anisotropic Thermal Protection with a High Degree of Longitudinal Anisotropy\",\"authors\":\"V. F. Formalev, B. A. Garibyan\",\"doi\":\"10.1134/s199508022460256x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>In this work, based on a new analytical solution to the third initial-boundary value problem of thermal conductivity in an anisotropic strip, an effective method for thermal protection of high-speed aircraft is proposed by channeling heat flows from the central part of the strip to its periphery using an anisotropic material with a high degree of longitudinal anisotropy (longitudinal to transverse thermal conductivity coefficient ratio not less than twenty).</p>\",\"PeriodicalId\":46135,\"journal\":{\"name\":\"Lobachevskii Journal of Mathematics\",\"volume\":\"57 1\",\"pages\":\"\"},\"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/s199508022460256x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lobachevskii Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s199508022460256x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Mathematical Modeling of Anisotropic Thermal Protection with a High Degree of Longitudinal Anisotropy
Abstract
In this work, based on a new analytical solution to the third initial-boundary value problem of thermal conductivity in an anisotropic strip, an effective method for thermal protection of high-speed aircraft is proposed by channeling heat flows from the central part of the strip to its periphery using an anisotropic material with a high degree of longitudinal anisotropy (longitudinal to transverse thermal conductivity coefficient ratio not less than twenty).
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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