Abstract <p>The paper presents a numerical modeling of boundary layer equations supplemented with the&#xa0;<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(k\)</EquationSource> </InlineEquation>-<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\omega\)</EquationSource> </InlineEquation>-<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma\)</EquationSource> </InlineEquation>&#xa0;turbulence model, that describe an accelerated xenon flow at the helium injection through the wall. Authors set values of the acceleration parameter&#xa0;<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(K\)</EquationSource> </InlineEquation>&#xa0;of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(4\cdot10^{-7}\)</EquationSource> </InlineEquation>&#xa0;and the injection parameter&#xa0;<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\overline{j_{w}}\)</EquationSource> </InlineEquation>&#xa0;in the range from&#xa0;<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq7.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(10^{-4}\)</EquationSource> </InlineEquation>&#xa0;to&#xa0;<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11823_2025_411_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(10^{-3}\)</EquationSource> </InlineEquation>. The problem was solved by the finite difference approach with the implicit scheme. The study showed that the helium as a light gas injection into the accelerated xenon flow may results to the occurrence of the local flow laminarization near the wall together with turbulent flow in the outer part of the boundary layer. It was shown that the increase of the injected gas temperature leads to the increase of the skin-friction in two times under considered conditions. At that, the thermal and mass Stanton numbers increase by no more than&#xa0;20%&#xa0;relatively the flow with the quasi-isothermal light gas injection.</p>

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Effect of Light Gas Injection on the Weakly Accelerated Xenon Flow

  • A. Yu. Sakhnov,
  • V. S. Naumkin

摘要

Abstract

The paper presents a numerical modeling of boundary layer equations supplemented with the  \(k\) - \(\omega\) - \(\gamma\)  turbulence model, that describe an accelerated xenon flow at the helium injection through the wall. Authors set values of the acceleration parameter  \(K\)  of \(4\cdot10^{-7}\)  and the injection parameter  \(\overline{j_{w}}\)  in the range from  \(10^{-4}\)  to  \(10^{-3}\) . The problem was solved by the finite difference approach with the implicit scheme. The study showed that the helium as a light gas injection into the accelerated xenon flow may results to the occurrence of the local flow laminarization near the wall together with turbulent flow in the outer part of the boundary layer. It was shown that the increase of the injected gas temperature leads to the increase of the skin-friction in two times under considered conditions. At that, the thermal and mass Stanton numbers increase by no more than 20% relatively the flow with the quasi-isothermal light gas injection.