<p>In the present study, flow over a circular cylinder under compressible low-Reynolds-number conditions was investigated using the low-density wind tunnel. The Reynolds number (Re) based on cylinder diameter was set in the range of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4010_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="141" /> </InlineMediaObject> <EquationSource Format="TEX">\(100\; \le \;{\text{Re}}\; \le \;1000\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>100</mn> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mtext>Re</mtext> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mn>1000</mn> </mrow> </math></EquationSource> </InlineEquation>, and the Mach number (<i>M</i>) was set in the range of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4010_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="126" /> </InlineMediaObject> <EquationSource Format="TEX">\(0.1\; \le \;M\; \le \;0.7\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.1</mn> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mi>M</mi> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mn>0.7</mn> </mrow> </math></EquationSource> </InlineEquation>. The Schlieren visualization and force measurement were conducted under pressure below 10&#xa0;kPa (0.81&#xa0;kPa for the lowest case) with the circular cylinder with 1.2, 3.0, and 5.0&#xa0;mm in diameter. Although the signal-to-noise ratio of the Schlieren image is very low because of the low-pressure condition, the fluctuation components originating from the flow phenomena were successfully extracted using the denoising technique based on the modal decomposition. As a result, the Mach number effects on the length of the recirculation region and the Strouhal number of the vortex shedding were revealed. The drag coefficient obtained at <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4010_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="62" /> </InlineMediaObject> <EquationSource Format="TEX">\(M=0.1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mo>=</mo> <mn>0.1</mn> </mrow> </math></EquationSource> </InlineEquation> and 0.2 for <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="348_2025_4010_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="141" /> </InlineMediaObject> <EquationSource Format="TEX">\(100\; \le \;{\text{Re}}\; \le \;1000\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>100</mn> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mtext>Re</mtext> <mspace width="0.277778em" /> <mo>≤</mo> <mspace width="0.277778em" /> <mn>1000</mn> </mrow> </math></EquationSource> </InlineEquation> was in good agreement with that under the incompressible conditions, and the drag coefficient increases as the Mach number increases.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Schlieren visualization and drag measurement on compressible flow over a circular cylinder at Reynolds number of \(\mathcal {O}(10^2)\)

  • Takayuki Nagata,
  • Tsuyoshi Shigeta,
  • Miku Kasai,
  • Taku Nonomura

摘要

In the present study, flow over a circular cylinder under compressible low-Reynolds-number conditions was investigated using the low-density wind tunnel. The Reynolds number (Re) based on cylinder diameter was set in the range of \(100\; \le \;{\text{Re}}\; \le \;1000\) 100 Re 1000 , and the Mach number (M) was set in the range of \(0.1\; \le \;M\; \le \;0.7\) 0.1 M 0.7 . The Schlieren visualization and force measurement were conducted under pressure below 10 kPa (0.81 kPa for the lowest case) with the circular cylinder with 1.2, 3.0, and 5.0 mm in diameter. Although the signal-to-noise ratio of the Schlieren image is very low because of the low-pressure condition, the fluctuation components originating from the flow phenomena were successfully extracted using the denoising technique based on the modal decomposition. As a result, the Mach number effects on the length of the recirculation region and the Strouhal number of the vortex shedding were revealed. The drag coefficient obtained at \(M=0.1\) M = 0.1 and 0.2 for \(100\; \le \;{\text{Re}}\; \le \;1000\) 100 Re 1000 was in good agreement with that under the incompressible conditions, and the drag coefficient increases as the Mach number increases.