<p>Mass transfer between steel and slag is an important physical phenomenon for metallurgical reactions. The mass transfer between two immiscible liquids, oil and water simulating slag and steel, respectively, was currently measured in a 1:10 scale model of a gas-stirring ladle with double-tuyere. Considering the similar equilibrium distribution ratio of sulfur between slag and metal, thymol was selected as the transferred species. A comprehensive physical modeling of the liquid–liquid mass transfer in a gas-stirring ladle with double-tuyere was performed to study the effect of gas flow rate, radial position, tuyere angle, and slag thickness on the mass transfer phenomenon between slag and steel. Thymol concentration, mass transfer, and volumetric mass transfer coefficient were quantitatively analyzed during bottom gas-stirring processes. A quantitative relationship formula between the volumetric mass transfer coefficient and other factors was established based on dimensionless analysis. Further analysis of the correlation between different factors and mass transfer at the liquid–liquid mass transfer was conducted through linear correlation analysis. The influence hierarchy of various parameters in the oil–water system on the mass transfer can be determined as follows: oil–water thickness ratio <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11837_2025_7256_Article_IEq1.gif" Format="GIF" Height="27" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(\frac{{H_{{\text{O}}} }}{{H_{{\text{W}}} }}\)</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <msub> <mi>H</mi> <mtext>O</mtext> </msub> <msub> <mi>H</mi> <mtext>W</mtext> </msub> </mfrac> </math></EquationSource> </InlineEquation> &gt; gas flow rate <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11837_2025_7256_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(Q\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>Q</mi> </math></EquationSource> </InlineEquation> &gt; angle <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11837_2025_7256_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\theta\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>θ</mi> </math></EquationSource> </InlineEquation> between two tuyeres &gt; tuyere position <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11837_2025_7256_Article_IEq4.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\frac{r}{R}\)</EquationSource> <EquationSource Format="MATHML"><math> <mfrac> <mi>r</mi> <mi>R</mi> </mfrac> </math></EquationSource> </InlineEquation>.</p>

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Physical Modeling of Liquid–Liquid Mass Transfer for Double-Tuyere in a Bottom Gas-Stirring Ladle

  • Sha Ji,
  • Kaijun Niu,
  • Qiang Yue,
  • Alberto N. Conejo

摘要

Mass transfer between steel and slag is an important physical phenomenon for metallurgical reactions. The mass transfer between two immiscible liquids, oil and water simulating slag and steel, respectively, was currently measured in a 1:10 scale model of a gas-stirring ladle with double-tuyere. Considering the similar equilibrium distribution ratio of sulfur between slag and metal, thymol was selected as the transferred species. A comprehensive physical modeling of the liquid–liquid mass transfer in a gas-stirring ladle with double-tuyere was performed to study the effect of gas flow rate, radial position, tuyere angle, and slag thickness on the mass transfer phenomenon between slag and steel. Thymol concentration, mass transfer, and volumetric mass transfer coefficient were quantitatively analyzed during bottom gas-stirring processes. A quantitative relationship formula between the volumetric mass transfer coefficient and other factors was established based on dimensionless analysis. Further analysis of the correlation between different factors and mass transfer at the liquid–liquid mass transfer was conducted through linear correlation analysis. The influence hierarchy of various parameters in the oil–water system on the mass transfer can be determined as follows: oil–water thickness ratio \(\frac{{H_{{\text{O}}} }}{{H_{{\text{W}}} }}\) H O H W  > gas flow rate \(Q\) Q  > angle \(\theta\) θ between two tuyeres > tuyere position \(\frac{r}{R}\) r R .