具有规则模式的动力学模型中辐射传热方程的精确自相似解

IF 0.5 4区工程技术 Q4 ENGINEERING, AEROSPACE

Thermophysics and Aeromechanics Pub Date : 2024-07-29 DOI:10.1134/S0869864324010153

V. V. Zaviyalov

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引用次数: 0

摘要

论文展示了一种可能性，即在描述辐射传递的非线性积分微分方程系统中，应用已知的一类以行进热波形式存在的分析自相似解，来解决非稳态、准稳态和规则模式的问题。这些解法是在局部热力学平衡的假设条件下，利用特别选择的吸收和散射系数，为笛卡尔几何中的动力学模型构建的。提供了不同求解模式的测试问题。

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Exact self-similar solutions for radiative heat transfer equations in a kinetic model with regular mode

The paper demonstrates a possibility of applying the known class of analytical self-similar solutions in the form of the traveling heat wave for a system of nonlinear integral-differential equations describing radiative transfer for non-stationary, quasi-stationary, and regular modes of solution behavior. The solutions are constructed for a kinetic model in the Cartesian geometry under the assumption of local thermodynamic equilibrium with specially chosen absorption and scattering coefficients. A test problem for different solution modes is provided.

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来源期刊

Thermophysics and Aeromechanics THERMODYNAMICS-MECHANICS

CiteScore

0.90

自引率

40.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal Thermophysics and Aeromechanics publishes original reports, reviews, and discussions on the following topics: hydrogasdynamics, heat and mass transfer, turbulence, means and methods of aero- and thermophysical experiment, physics of low-temperature plasma, and physical and technical problems of energetics. These topics are the prior fields of investigation at the Institute of Thermophysics and the Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences (SB RAS), which are the founders of the journal along with SB RAS. This publication promotes an exchange of information between the researchers of Russia and the international scientific community.