Effects of Regional Magnetic Field on Rotating MHD Flow Field of Unity Magnetic Prandtl Number

<table>Distributions of the contours of stream function for a three-quarter-circular external magnetic fluids of (a) <svg height="10.9125" id="M59" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 53.362499 10.9125" width="53.362499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
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<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">H</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">a</tspan>
<tspan style="font-size: 12.50px; " x="18.041828" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="30.082218" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="36.333717" y="0">0</tspan>
</text>
</g>
</g>
</svg> and (b) <svg height="13.7375" id="M60" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 154.375 13.7375" width="154.375" 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">H</tspan>
<tspan style="font-size: 12.50px; " x="9.0271664" y="0">a</tspan>
<tspan style="font-size: 12.50px; " x="18.041828" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="30.082218" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="36.333717" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="46.748718" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="50.912216" y="0">Δ</tspan>
<tspan style="font-size: 12.50px; " x="59.939381" y="0">𝜓</tspan>
<tspan style="font-size: 12.50px; " x="72.80497" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="84.84536" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="91.096855" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="94.22261" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="100.47411" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="106.72561" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="112.9771" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="119.22861" y="0">)</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Applied Mathematics

fig9

Figure 9

Figure 9: Effects of Regional Magnetic Field on Rotating MHD Flow Field of Unity Magnetic Prandtl Number 