Computational Fluid Dynamics Analysis of Pulsatile Blood Flow Behavior in Modelled Stenosed Vessels with Different Severities

<table>The velocity <svg height="11.075" id="M93" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 13.6125 11.075" width="13.6125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑢</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.02,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑧</tspan>
</text>
</g>
</g>
</svg> at the peak of systole in the <svg height="16.487499" id="M94" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 23.625 16.487499" width="23.625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.4875)">
<g transform="translate(72,-58.81)">
<text transform="matrix(1,0,0,-1,-71.95,63.59)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑂</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.8,60.46)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑥</tspan>
<tspan style="font-size: 8.75px; " x="4.8136001" y="0">𝑦</tspan>
</text>
</g>
</g>
</svg> plane of the 70% stenotic tube: (a) at the upstream cross-section <svg height="11.1" id="M95" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.849998 11.1" width="46.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="9.7023277" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="27.994217" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.119967" y="0">5</tspan>
</text>
</g>
</g>
</svg> cm, (b) at the throat cross-section <svg height="11.1" id="M96" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.849998 11.1" width="46.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="9.7023277" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="27.994217" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.119967" y="0">5</tspan>
</text>
</g>
</g>
</svg> cm, and (c) at the downstream cross-section <svg height="10.9125" id="M97" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 46.849998 10.9125" width="46.849998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑧</tspan>
<tspan style="font-size: 12.50px; " x="9.7023277" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.742718" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="27.994217" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.119967" y="0">7</tspan>
</text>
</g>
</g>
</svg> cm.</table>

Mathematical Problems in Engineering

fig5

Figure 5

Figure 5: Computational Fluid Dynamics Analysis of Pulsatile Blood Flow Behavior in Modelled Stenosed Vessels with Different Severities 