A Mathematical Model of Continuous Billet Heating Furnace

Abstract

A mathematical model of the continuous billet heating furnace simulating the dynamic behavior of billet temperature in the furnace as a function of the fuel flow rate and billet speed has been developed.
Flame and combustion-gas temperatures along the furnace are calculated from the combustion heat and heat transfer from both the flame and the combustion-gas. Temperatures of individual billets are calculated from heat transfers from the flame or the combustion-gas and the furnace wall.
The calculated dynamic response of the billet temperature at the extracting time with a change in the fuel flow rate from this model gives a good agreement with the response obtained by the correlation method.