{"title":"Exact self-similar solutions for radiative heat transfer equations in a kinetic model with regular mode","authors":"V. V. Zaviyalov","doi":"10.1134/S0869864324010153","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":800,"journal":{"name":"Thermophysics and Aeromechanics","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thermophysics and Aeromechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0869864324010153","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, AEROSPACE","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
