A long steel strip is being conveyed through a 3-m long furnace to be heat treated at a speed of 0.01 m/s. The steel strip (k = 21 W/m · K, ρ = 8000 kg/m³, and c_p = 570 J/kg · K) has a thickness of 5 mm, and it enters the furnace at an initial temperature of 20°C. Inside the furnace, the air temperature is maintained at 900°C with a convection heat transfer coefficient of 80 W/m² · K. Using EES (or other) software, determine the surface temperature gradient of the steel strip as a function of location inside the furnace. By varying the location in the furnace for ≤ x ≤ 3m with increments of 0.2 m, plot the surface temperature gradient of the strip as a function of furnace location.

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y x=0 Furnace x = 3 m -Steel strip 0.01 m/s