<p>The two-dimensional, time-resolved structure of laminar separation bubbles over an SD7003 airfoil under the influence of elevated background turbulence levels is presented using smoke visualization. The separation bubbles are visualized for angles of attack <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha = 4^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>α</mi> <mo>=</mo> <msup> <mn>4</mn> <mo>∘</mo> </msup> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(8^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mn>8</mn> <mo>∘</mo> </msup> </math></EquationSource> </InlineEquation>, Reynolds numbers <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq3.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="92" /> </InlineMediaObject> <EquationSource Format="TEX">\(Re = 60,000\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>R</mi> <mi>e</mi> <mo>=</mo> <mn>60</mn> <mo>,</mo> <mn>000</mn> </mrow> </math></EquationSource> </InlineEquation> and 100,000, and turbulence intensities <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_u = 0.02\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>u</mi> </msub> <mo>=</mo> <mn>0.02</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(0.24\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.24</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>. High-speed images captured the formation of shear layer roll-up vortices in the aft portion of the separation bubble for <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_u = 0.02\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>u</mi> </msub> <mo>=</mo> <mn>0.02</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>, which are compared with the <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq7.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_u=0.24\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>u</mi> </msub> <mo>=</mo> <mn>0.24</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> case. On increasing the background turbulence (<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq8.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_u = 0.24\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>u</mi> </msub> <mo>=</mo> <mn>0.24</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>), the bubble is eliminated for <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq9.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha = 4^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>α</mi> <mo>=</mo> <msup> <mn>4</mn> <mo>∘</mo> </msup> </mrow> </math></EquationSource> </InlineEquation>, while its height and chordwise extent are considerably decreased for <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq10.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha = 8^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>α</mi> <mo>=</mo> <msup> <mn>8</mn> <mo>∘</mo> </msup> </mrow> </math></EquationSource> </InlineEquation>. The images show that the large-scale turbulent structures in the freestream interact with the shear layer, causing a greater variance in the size and shedding period of the roll-up vortices. Increased dissipation rates cause greater diffusion and distort the roll-up vortices. Increasing the Reynolds number for <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12650_2024_1039_Article_IEq11.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="82" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_u=0.24\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>T</mi> <mi>u</mi> </msub> <mo>=</mo> <mn>0.24</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> does not affect the size and shedding wavelength of the roll-up vortices.</p> Graphical abstract <p></p>

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Smoke visualization of the effect of freestream turbulence on a laminar separation bubble over an airfoil at low Reynolds numbers

  • Suraj Bansal,
  • Philippe Lavoie

摘要

The two-dimensional, time-resolved structure of laminar separation bubbles over an SD7003 airfoil under the influence of elevated background turbulence levels is presented using smoke visualization. The separation bubbles are visualized for angles of attack \(\alpha = 4^{\circ }\) α = 4 and \(8^{\circ }\) 8 , Reynolds numbers \(Re = 60,000\) R e = 60 , 000 and 100,000, and turbulence intensities \(T_u = 0.02\%\) T u = 0.02 % and \(0.24\%\) 0.24 % . High-speed images captured the formation of shear layer roll-up vortices in the aft portion of the separation bubble for \(T_u = 0.02\%\) T u = 0.02 % , which are compared with the \(T_u=0.24\%\) T u = 0.24 % case. On increasing the background turbulence ( \(T_u = 0.24\%\) T u = 0.24 % ), the bubble is eliminated for \(\alpha = 4^{\circ }\) α = 4 , while its height and chordwise extent are considerably decreased for \(\alpha = 8^{\circ }\) α = 8 . The images show that the large-scale turbulent structures in the freestream interact with the shear layer, causing a greater variance in the size and shedding period of the roll-up vortices. Increased dissipation rates cause greater diffusion and distort the roll-up vortices. Increasing the Reynolds number for \(T_u=0.24\%\) T u = 0.24 % does not affect the size and shedding wavelength of the roll-up vortices.

Graphical abstract