In an annealing process, a 50-mm-thick stainless steel plate (ρ = 8238 kg/m3, cp = 468 J/kg⋅K, k = 13.4 W/m⋅K, and α = 3.48×10−6 m2/s) was reheated in a furnace from an initial uniform temperature of 230°C. The ambient temperature inside the furnace is uniform at 1000°C, and the convection heat transfer coefficient is 215 W/m2⋅K. If the entire stainless steel plate is to be heated to at least 620°C, determine the time that the plate should be heated in the furnace using the analytical one-term approximation method. The time that the plate should be heated in the furnace is

Elements Of Electromagnetics
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In an annealing process, a 50-mm-thick stainless steel plate (ρ = 8238 kg/m3, cp = 468 J/kg⋅K, k = 13.4 W/m⋅K, and α = 3.48×10−6 m2/s) was reheated in a furnace from an initial uniform temperature of 230°C. The ambient temperature inside the furnace is uniform at 1000°C, and the convection heat transfer coefficient is 215 W/m2⋅K. If the entire stainless steel plate is to be heated to at least 620°C, determine the time that the plate should be heated in the furnace using the analytical one-term approximation method.

The time that the plate should be heated in the furnace is

 

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