Unsteady Magnetohydrodynamic Heat Transfer in a Semi-Infinite Porous Medium with Thermal Radiation Flux: Analytical and Numerical Study

<table>Spatial temperature distribution (<svg height="10.7375" id="M227" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 8.3125 10.7375" width="8.3125" xmlns="http://www.w3.org/2000/svg">
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<g transform="matrix(1.25,0,0,-1.25,0,16.6)">
<g transform="translate(72,-58.72)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
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<text transform="matrix(1,0,0,-1,-62.42,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑝</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="16.191385" y="0">1</tspan>
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</svg>, <svg height="13.9875" id="M229" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 50.537498 13.9875" width="50.537498" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-60.81)">
<text transform="matrix(1,0,0,-1,-71.95,61.03)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑀</tspan>
</text>
<text transform="matrix(1,0,0,-1,-58.26,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">5</tspan>
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</svg>, <svg height="14.6" id="M230" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 56.049999 14.6" width="56.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐾</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.42,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑟</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">0</tspan>
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<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐺</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑟</tspan>
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<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
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<tspan style="font-size: 12.50px; " x="27.656635" y="0">0</tspan>
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<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
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<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑟</tspan>
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<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">𝑡</tspan>
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<tspan style="font-size: 12.50px; " x="19.417158" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="25.668659" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="28.794409" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="35.04591" y="0">5</tspan>
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</svg>.</table>

Advances in Numerical Analysis

fig10

Figure 10

Figure 10: Unsteady Magnetohydrodynamic Heat Transfer in a Semi-Infinite Porous Medium with Thermal Radiation Flux: Analytical and Numerical Study 