Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation

<table>Contour lines of <svg height="13.45" id="M292" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 69.75 13.45" width="69.75" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-61.24)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="5.1012239" y="0">𝑚</tspan>
<tspan style="font-size: 12.50px; " x="13.978354" y="0">𝑠</tspan>
<tspan style="font-size: 12.50px; " x="25.731174" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="32.007679" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="36.171181" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="42.410175" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="47.611423" y="0">𝑡</tspan>
<tspan style="font-size: 12.50px; " x="51.524864" y="0">)</tspan>
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</svg> in the dispersion plane<svg height="14.75" id="M293" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 42.637501 14.75" width="42.637501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.75)">
<g transform="translate(72,-60.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="4.1634989" y="0">𝑐</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.6,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
<text transform="matrix(1,0,0,-1,-57.72,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">;</tspan>
<tspan style="font-size: 12.50px; " x="5.551332" y="0">𝑐</tspan>
</text>
<text transform="matrix(1,0,0,-1,-46.98,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">1</tspan>
</text>
<text transform="matrix(1,0,0,-1,-42.1,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">)</tspan>
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</svg>. (Burr (2007)—NDF)</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation 