5) Problem on momentum flow rate (reference lecture for the problem is 13)

Calculate the momentum flow rate produced by passing oxygen gas through a lance fitted with four convergent-divergent nozzles in a 300 ton converter. The diameter of each nozzle is 45mm.

Hint: Calculate PO by equation 6 and use equation 5 to calculate momentum flow rate. Use surrounding pressure 1.013 x 105 N/m2


The lance distance to start the blow is 3m upto 25% of the blow time which is then decreased to 2m for 25% to 75% of the blow time. Between 75% and upto the end the lance distance id decreased further to 1.5m. Calculate the depth of penetration of gas jet and discuss the nature of blow and the associated physico-chemical reactions as a function of lance distance. Include in your calculation the depth of penetration of gas jet.


Hint Calculate dimensionless momentum flow rate from equation 8 and depth of gas jet penetration from equation9