A large billet of steel initially at 260?C is placed in a radiant furnace where the surface

Question:

A large billet of steel initially at 260?C is placed in a radiant furnace where the surface temperature is held at 1200?C. Assuming the billet is infinite in extent, compute the temperature at point P shown in the accompanying sketch after 25 min has elapsed. The average properties of steel are: k = 28 W/(m K), ρ = 7360 kg/m3, and c = 500 J/(kg K).GIVENA large billet of steel is placed in a radiant furnaceInitial temperature (To) = 260?CSurface temperature of billet in the oven (Ts) = 1200?CLapse time (t) = 25 min = 1500 sThermal conductivity (k) = 28 W/(m K)Density (ρ) = 7360 kg/m3Specific heat (c) = 500 J/(kg K)ASSUMPTIONSThe billet infinite in extent