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

<table>(a) Comparison between (<a href="https://static.hindawi.com/articles/mpe/volume-2009/526945/figures/#eq3.2b">3.3</a>) and <i>rms </i><svg height="13.45" id="M247" style="vertical-align:-2.21957pt" version="1.1" viewbox="0 0 14.225 13.45" width="14.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.45)">
<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">|</tspan>
<tspan style="font-size: 12.50px; " x="2.5006001" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="8.7771063" y="0">|</tspan>
</text>
</g>
</g>
</svg>; (b) Averaged frequency <svg height="11.0125" id="M248" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 19.1625 11.0125" width="19.1625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0125)">
<g transform="translate(72,-63.19)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.44,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg>. (Burr (2007)—NDF)</table>

Mathematical Problems in Engineering

fig8

Figure 8

Figure 8: Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation 