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

<table>Relationship of the Inclusion Diameter to the collision, sliding and induction times. (a) <svg height="13.0125" id="M107" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 9.0375004 13.0125" width="9.0375004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.0125)">
<g transform="translate(72,-61.59)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑡</tspan>
</text>
<text transform="matrix(1,0,0,-1,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑖</tspan>
</text>
</g>
</g>
</svg> calculated using the Nguyen’s equation and (b) <svg height="13.0125" id="M108" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 9.0375004 13.0125" width="9.0375004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.0125)">
<g transform="translate(72,-61.59)">
<text transform="matrix(1,0,0,-1,-71.95,64.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑡</tspan>
</text>
<text transform="matrix(1,0,0,-1,-68.04,61.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑖</tspan>
</text>
</g>
</g>
</svg> reported by Zhang and Taniguchi [<a href="/journals/jam/2012/534275/#B13">13</a>].</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: Mathematical Analysis of Inclusion Removal from Liquid Steel by Gas Bubbling in a Casting Tundish 