Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish

<table>Prediction of the inclusion removal rate in a continuous casting tundish, (a) Constant <svg height="14.2375" id="M133" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 17.4375 14.2375" width="17.4375" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑇</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑅</tspan>
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</svg> and <svg height="14.2375" id="M134" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.862499 14.2375" width="19.862499" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
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</svg>, (b) Decrease of <svg height="14.2375" id="M135" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 17.4375 14.2375" width="17.4375" xmlns="http://www.w3.org/2000/svg">
<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">𝑇</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑅</tspan>
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</svg> in 200 s, (c) Decrease of <svg height="14.2375" id="M136" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.862499 14.2375" width="19.862499" xmlns="http://www.w3.org/2000/svg">
<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">𝐿</tspan>
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<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐵</tspan>
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</svg> by half, and (d) Decrease of <svg height="14.2375" id="M137" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 17.4375 14.2375" width="17.4375" xmlns="http://www.w3.org/2000/svg">
<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">𝑇</tspan>
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<text transform="matrix(1,0,0,-1,-65.07,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑅</tspan>
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</svg> and decrease of <svg height="14.2375" id="M138" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 19.862499 14.2375" width="19.862499" xmlns="http://www.w3.org/2000/svg">
<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">𝐿</tspan>
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<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐵</tspan>
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</svg> by half. </table>

Journal of Applied Mathematics

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Figure 5

Figure 5: Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish 