{"title":"An Exact Solution for a Time-Dependent System of Radiative-Conductive Heat Transfer Equations","authors":"V. V. Zaviyalov","doi":"10.1134/S0015462824604297","DOIUrl":null,"url":null,"abstract":"<p>An exact self-similar solution of the type of a traveling heat wave for the time-dependent nonlinear system of radiative-conductive heat transport equations in the Cartesian geometry is considered. The radiation component is considered in the kinetic model with specially adjusted absorption and scattering coefficients. An example of the test problem in the plane geometry is given.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"59 6","pages":"1735 - 1740"},"PeriodicalIF":0.6000,"publicationDate":"2025-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462824604297","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
An exact self-similar solution of the type of a traveling heat wave for the time-dependent nonlinear system of radiative-conductive heat transport equations in the Cartesian geometry is considered. The radiation component is considered in the kinetic model with specially adjusted absorption and scattering coefficients. An example of the test problem in the plane geometry is given.
期刊介绍：
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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