具有高度纵向各向异性的各向异性热保护数学模型

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s199508022460256x

V. F. Formalev, B. A. Garibyan

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引用次数: 0

摘要

摘要本文基于对各向异性带材导热系数第三初始边界值问题的一种新的解析解，提出了一种有效的高速飞机热防护方法，即利用纵向各向异性程度高（纵向与横向导热系数比不小于 20）的各向异性材料，将热流从带材的中心部分引向外围。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Mathematical Modeling of Anisotropic Thermal Protection with a High Degree of Longitudinal Anisotropy

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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).

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来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

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.