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<p>We study two discrete and one asymptotic approximations of the radiative-conductive heat transfer problem in a system of absolutely black round rods placed in a square box and separated by the vacuum. We obtain error estimates of order <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7823_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="52" /> </InlineMediaObject> <EquationSource Format="TEX">\(O\left(\sqrt{\varepsilon }\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>O</mi> <mfenced close=")" open="("> <msqrt> <mi>ε</mi> </msqrt> </mfenced> </mrow> </math></EquationSource> </InlineEquation>, where <i>ε</i> is the rod diameter.</p>

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Approximations of the Radiative-Conductive Heat Transfer Problem in a System of Absolutely Black Round Rods

  • 期刊论文

  • 发表日期：

    2025年7月10日

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  • A. A. Amosov,
  • N. E. Krymov

摘要

We study two discrete and one asymptotic approximations of the radiative-conductive heat transfer problem in a system of absolutely black round rods placed in a square box and separated by the vacuum. We obtain error estimates of order \(O\left(\sqrt{\varepsilon }\right)\) O ε , where ε is the rod diameter.