An AISI 304 stainless steel sheet is going through an annealing process inside an electrically heated oven. The ambient air inside the oven is 600°C, while the surrounding surfaces of the oven are at a uniform temperature of 750°C. If the emissivity of the stainless steel sheet is 0.40 and the average convection heat transfer coefficient is 10?W/m2•K, determine the temperature of the stainless steel sheet.
What will be an ideal response?
Temperature of the stainless steel sheet going through an annealing process inside an electrically heated oven is to be determined.
Assumptions 1 Steady operating conditions exist. 2 Temperature of the stainless steel sheet is uniform. 3 Radiation heat transfer between stainless steel sheet and surrounding oven surfaces is between a small object and a large enclosure.
Properties The emissivity of the stainless steel sheet is given to be 0.40.
Analysis The amount of heat transfer by radiation between the sheet and the surrounding oven surfaces is balanced by the convection heat transfer between the sheet and the ambient air:
Solving the above equation by EES software (Copy the following line and paste on a blank EES screen to verify solution):
0.40*5.67e-8*((750+273)^4-T_s^4)-10*(T_s-(600+273))=0
The temperature of the stainless steel sheet is
Discussion Note that the energy balance equation involving radiation heat transfer used for solving the stainless steel sheet temperature must be used with absolute temperature.
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