In a large steel mill, prior to pouring the steel into a continuous casting mach

Question

In a large steel mill, prior to pouring the steel into a continuous casting machine to produce slabs, the steel is deoxidized using aluminum. Al will react with dissolved oxygen in the molten steel to form solid Al20s particles which will rise to the top of the molten steel pool held in a ladle (the oxide can be skimmed off or become part of the slag before the steel is cast). In a particular 6. ladle. Assuming the weight % of aluminum added to the steel is 0.005% and the process needs to be completed in 30 seconds, calculate the speed (m/s) at which the aluminum wire must be fed into a 30-ton bath of steel in the ladle.

Explanation / Answer

Density of aluminium = 2712 Kg/ m3

mass of Steel = 30000 Kg

mass of Al required = 0.005/100 * 30000

=1.5 Kg

Volume of Al required = mass / density

=1.5 / 2712 = 0.000553 m3

Area of cross Section = 3 * Pi * R2

=0.0002355 m2

Time = 30 s

Length = Volume / cross Section

=2.348 m

Speed = Length / time = 2.348/ 30 =0.0782 m/s

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