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

<table>Variation of <svg height="13.5125" id="M167" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 19.049999 13.5125" width="19.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.5125)">
<g transform="translate(72,-61.19)">
<text transform="matrix(1,0,0,-1,-71.95,63.52)">
<tspan style="font-size: 12.50px; " x="0" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">𝑝</tspan>
</text>
</g>
</g>
</svg> with <svg height="12.925" id="M168" 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>
</text>
</g>
</g>
</svg> for different values of <svg height="13.425" id="M169" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 10.2 13.425" width="10.2" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜙</tspan>
</text>
</g>
</g>
</svg> at <svg height="13.7375" id="M170" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 245.03751 13.7375" width="245.03751" 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">5</tspan>
<tspan style="font-size: 12.50px; " x="37.909096" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="47.286346" y="0">𝑛</tspan>
<tspan style="font-size: 12.50px; " x="56.97617" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="69.016563" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="75.268059" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="78.393806" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="84.645309" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="94.02256" y="0">𝑊</tspan>
<tspan style="font-size: 12.50px; " x="105.47531" y="0">𝑒</tspan>
<tspan style="font-size: 12.50px; " x="114.50247" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="126.54286" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="132.79436" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="135.92012" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="142.17162" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="148.42311" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="157.80037" y="0">𝛽</tspan>
<tspan style="font-size: 12.50px; " x="168.25287" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="180.29326" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="186.54475" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="189.67052" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

Mathematical Problems in Engineering

fig15

Figure 15

Figure 15: Peristaltic Flow of Carreau Fluid in a Rectangular Duct through a Porous Medium 