Approximate Solution for the Electrohydrodynamic Flow in a Circular Cylindrical Conduit

<table>Error curves for <svg height="11.1" id="M68" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 47.862499 11.1" width="47.862499" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝛼</tspan>
<tspan style="font-size: 12.50px; " x="10.515023" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.555412" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="28.806911" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="31.932661" y="0">5</tspan>
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</svg> (a) <svg height="11.1125" id="M69" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 62.474998 11.1125" width="62.474998" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-63.11)">
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<tspan style="font-size: 12.50px; " x="0" y="0">ℋ</tspan>
<tspan style="font-size: 12.50px; " x="12.465491" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="22.205328" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="40.497215" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="43.622967" y="0">5</tspan>
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</svg> (b) <svg height="11.1" id="M70" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 50.75 11.1" width="50.75" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-63.12)">
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<tspan style="font-size: 12.50px; " x="0" y="0">ℋ</tspan>
<tspan style="font-size: 12.50px; " x="12.465491" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="22.205328" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">1</tspan>
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</svg> (c) <svg height="11.1" id="M71" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 50.75 11.1" width="50.75" 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,-71.95,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℋ</tspan>
<tspan style="font-size: 12.50px; " x="12.465491" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="22.205328" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">2</tspan>
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</svg> (d) <svg height="11.1" id="M72" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 50.75 11.1" width="50.75" 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,-71.95,63.36)">
<tspan style="font-size: 12.50px; " x="0" y="0">ℋ</tspan>
<tspan style="font-size: 12.50px; " x="12.465491" y="0">𝑎</tspan>
<tspan style="font-size: 12.50px; " x="22.205328" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="34.245716" y="0">4</tspan>
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International Scholarly Research Notices

fig2

Figure 2

Figure 2: Approximate Solution for the Electrohydrodynamic Flow in a Circular Cylindrical Conduit 