Analytical Method for Calculating Eigenvalues in the Problem of Nonstationary Heat Conduction of a Spherical Body

IF 1 4区物理与天体物理 Q4 PHYSICS, APPLIED

High Temperature Pub Date : 2024-03-03 DOI:10.1134/s0018151x23020190

Yu. V. Vidin, V. S. Zlobin

引用次数: 0

Abstract

A method for investigating characteristic equations is proposed, and analytical formulas are obtained for determining the roots of the characteristic equation in the problem of nonstationary heat conduction of a spherical body. These formulas make it possible to determine any required number of roots with high accuracy, which is especially important when solving heat conduction problems at the initial moment of time. The proposed method can be used to study more complex characteristic equations arising in other heat transfer problems.

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计算球体非稳态热传导问题特征值的分析方法

摘要提出了一种研究特征方程的方法，并获得了确定球体非稳态热传导问题中特征方程根的解析公式。通过这些公式，可以高精度地确定所需的任意根数，这在求解初始时刻的热传导问题时尤为重要。所提出的方法可用于研究其他传热问题中出现的更复杂的特征方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

High Temperature 物理-物理：应用

CiteScore

1.50

自引率

40.00%

发文量

审稿时长

4-8 weeks

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.