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

<table>Flow around circular cylinder: (a) <i>steady state regime</i>, Re = 40 <svg height="8.8500004" id="M16" style="vertical-align:-0.30096pt" version="1.1" viewbox="0 0 10.825 8.8500004" width="10.825" xmlns="http://www.w3.org/2000/svg">
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</svg> 46.5;  (b) <i>stable 2D limit cycles</i>, 46.5 <svg height="8.8500004" id="M17" style="vertical-align:-0.30096pt" version="1.1" viewbox="0 0 10.825 8.8500004" width="10.825" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,8.85)">
<g transform="translate(72,-64.92)">
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</svg> Re <svg height="8.8500004" id="M18" style="vertical-align:-0.30096pt" version="1.1" viewbox="0 0 10.825 8.8500004" width="10.825" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,8.85)">
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</svg> 180 (Re = 102 above, Re = 161, below). (source: Van Dyke [<a href="/journals/mpe/2009/526945/#B11">1</a>]).</table>

Mathematical Problems in Engineering

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Figure 1

Figure 1: Flow Around a Slender Circular Cylinder: A Case Study on Distributed Hopf Bifurcation 