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Application of Thermodynamic Model for Inclusion Control in ...

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Process Metallurgy – Steelmak<strong>in</strong>g<br />

ganese <strong>in</strong> the melt are summarised respectively <strong>in</strong> table 1.<br />

Though silicon deoxidation is the most important one <strong>for</strong><br />

produc<strong>in</strong>g glassy oxide <strong>in</strong>clusions <strong>in</strong> LCFCS steel mak<strong>in</strong>g,<br />

the compet<strong>in</strong>g reactions <strong>in</strong> the presence <strong>of</strong> alum<strong>in</strong>ium, calcium<br />

and manganese <strong>in</strong> the melt are <strong>in</strong>cluded <strong>in</strong> the table.<br />

The products <strong>of</strong> deoxidation reactions are complex, <strong>in</strong>volv<strong>in</strong>g<br />

a multi-component oxide system. There<strong>for</strong>e, the data <strong>of</strong><br />

component activities <strong>in</strong> the melt as well as <strong>in</strong> oxide systems<br />

are necessary <strong>for</strong> the calculation <strong>of</strong> the reactions <strong>in</strong> LMF.<br />

Calculation <strong>of</strong> Activities. The thermodynamic model<br />

calculates element and component activities, respectively <strong>in</strong><br />

melt and <strong>in</strong> oxide system, due to the chemical reactions <strong>in</strong><br />

LMF tak<strong>in</strong>g <strong>in</strong>to account Ca, Al, Si, Mn and O.<br />

In the melt the activity <strong>of</strong> element i <strong>in</strong> steel can be calculated<br />

as<br />

ai = fi[%i] (3)<br />

where [%i] is the weight percent <strong>of</strong> dissolved element i <strong>in</strong><br />

the melt. fi is the activity coefficient <strong>of</strong> i, which is calculated<br />

by the <strong>in</strong>teraction coefficient method as given below:<br />

here e j<br />

i<br />

log fi =<br />

and r j<br />

i<br />

n�<br />

j=2<br />

+<br />

e j<br />

i [% j] +<br />

n�<br />

j=2<br />

n�<br />

k=2<br />

j

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