Peristaltic Flow of Carreau Fluid in a Rectangular Duct through a Porous Medium

<table>Variation of <svg height="13.55" id="M147" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 37.337502 13.55" width="37.337502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="6.6515961" y="0">𝑝</tspan>
<tspan style="font-size: 12.50px; " x="12.765563" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="16.241398" y="0">𝑑</tspan>
<tspan style="font-size: 12.50px; " x="22.892994" y="0">𝑥</tspan>
</text>
</g>
</g>
</svg> with <svg height="7.1624999" id="M148" style="vertical-align:-0.11285pt" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1625)">
<g transform="translate(72,-66.27)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑥</tspan>
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</svg> for different values of <svg height="12.925" id="M149" style="vertical-align:-1.90608pt" version="1.1" viewbox="0 0 12.325 12.925" width="12.325" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.925)">
<g transform="translate(72,-61.66)">
<text transform="matrix(1,0,0,-1,-71.95,63.61)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑄</tspan>
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</svg> at <svg height="13.7375" id="M150" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 321.38751 13.7375" width="321.38751" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.7375)">
<g transform="translate(72,-61.01)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑘</tspan>
<tspan style="font-size: 12.50px; " x="10.239957" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.280346" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.531845" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.657597" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="37.909096" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="44.160595" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="53.537846" y="0">𝑛</tspan>
<tspan style="font-size: 12.50px; " x="63.227673" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="75.268059" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="81.519562" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="84.645309" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="90.896812" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="100.27406" y="0">𝑊</tspan>
<tspan style="font-size: 12.50px; " x="111.72681" y="0">𝑒</tspan>
<tspan style="font-size: 12.50px; " x="120.75397" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="132.79436" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="139.04587" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="142.17162" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="148.42311" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="154.67461" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="164.05186" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="174.50436" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="186.54475" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="192.79626" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="195.92201" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="202.17351" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="208.425" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="217.80226" y="0">𝜙</tspan>
<tspan style="font-size: 12.50px; " x="229.33003" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="241.37042" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="247.62192" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="250.74767" y="0">6</tspan>
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</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig10

Figure 10

Figure 10: Peristaltic Flow of Carreau Fluid in a Rectangular Duct through a Porous Medium 