Solve the following problem:
Q: In a manufacturing operation, a long strip sheet of metal is transported on a conveyor at a velocity of 2 m/s while a coating on its top surface is to be cured by radiant heating. Suppose that infrared lamps mounted above the conveyor provide a radiant flux of 2500 W/m2 on the coating. The coating absorbs 50% of the incident radiant flux, has an emissivity of 0.5, and radiates to surrounding at a temperature of 25°C. In addition, the coating also loses heat by convection though a heat transfer coefficient between both the upper and lower surface and the ambient air which may be assumed to be at the same temperature as the environment. Estimate the temperature of the coating under steady state conditions.
GIVEN
A long strip of sheet metal on a conveyor
Velocity (U∞) = 2 m/s
Radiant flux on upper surface (q lamps/A) 2500 W/m2
Coating absorbs 50 of incident radiant flux, absorptivity (α) = 0.5
Surroundings temperature (T∞) = 25°C = 298 K
Emissivity of coating (ε) = 0.5
ASSUMPTIONS
Steady state
The thermal resistance of the sheet metal is negligible
The surroundings behave as a blackbody
The ambient air is still
The ambient temperature isconstant
