Abstract <p>An experimental study is performed on the influence of surface slots (grooves) with a depth of 0.18 mm (the depth-based Reynolds number is <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\({{\operatorname{Re} }_{h}} \approx 1000\)</EquationSource> <!--JAMT2501008Lysenko-m1--> </InlineEquation>) with orientation angles <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi = 0^\circ \)</EquationSource> <!--JAMT2501008Lysenko-m2--> </InlineEquation>, 30°, 45°, and 90° on the stability of a supersonic boundary layer on a flat plate. Experiments with natural disturbances at the free-stream Mach number <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{M}} = 2\)</EquationSource> <!--JAMT2501008Lysenko-m3--> </InlineEquation> are performed. It is found that the maximum rates of the spatial growth of disturbances decrease as the slot orientation angle decreases from <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi = 90^\circ \)</EquationSource> <!--JAMT2501008Lysenko-m4--> </InlineEquation> to zero. At <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\(\varphi = 0^\circ \)</EquationSource> <!--JAMT2501008Lysenko-m5--> </InlineEquation> and 30°, they become smaller than the corresponding values for a smooth plate. The&#xa0;results obtained show that the instability of the first mode of the supersonic boundary layer, which determines the laminar-turbulent transition at <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{M}} = 2\)</EquationSource> <!--JAMT2501008Lysenko-m6--> </InlineEquation>, can be stabilized by small-depth slots with moderate angles of their orientation (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10808_2025_1520_Article_IEq7.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="96" /> </InlineMediaObject> <EquationSource Format="TEX">\(0^\circ \leqslant \varphi &lt; 40^\circ \)</EquationSource> <!--JAMT2501008Lysenko-m7--> </InlineEquation>).</p>

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Effect of the Slot Orientation Angle on Stabilization of a Supersonic Boundary Layer

  • V. I. Lysenko,
  • B. V. Smorodsky,
  • A. D. Kosinov,
  • A. A. Yatskikh

摘要

Abstract

An experimental study is performed on the influence of surface slots (grooves) with a depth of 0.18 mm (the depth-based Reynolds number is \({{\operatorname{Re} }_{h}} \approx 1000\) ) with orientation angles \(\varphi = 0^\circ \) , 30°, 45°, and 90° on the stability of a supersonic boundary layer on a flat plate. Experiments with natural disturbances at the free-stream Mach number \({\text{M}} = 2\) are performed. It is found that the maximum rates of the spatial growth of disturbances decrease as the slot orientation angle decreases from \(\varphi = 90^\circ \) to zero. At \(\varphi = 0^\circ \) and 30°, they become smaller than the corresponding values for a smooth plate. The results obtained show that the instability of the first mode of the supersonic boundary layer, which determines the laminar-turbulent transition at \({\text{M}} = 2\) , can be stabilized by small-depth slots with moderate angles of their orientation ( \(0^\circ \leqslant \varphi < 40^\circ \) ).