A furnace has the form of a truncated conical section, as shown in the schematic The floor of the furnace has an emissivity of 1 0 7 and is maintained at 1000 K with a heat flux of 2200 W m 2 The lateral wall is perfectly insulated with an emissivity of 3 0 3 Assume that all the surfaces are diffus...

KNOWN Furnace in the form of a truncated conical section floor 1 maintained at T 1000 K by providing a heat flux q1in 2200 Wm lateral wall 3 perfectly insulated radiative properties of all surfaces sp ...

A furnace has the form of a truncated conical section, as shown in the schematic. The floor

Question:

A furnace has the form of a truncated conical section, as shown in the schematic. The floor of the furnace has an emissivity of ?₁ = 0.7 and is maintained at 1000 K with a heat flux of 2200 W/m². The lateral wall is perfectly insulated with an emissivity of ?₃ = 0.3. Assume that all the surfaces are diffuse-gray.

(a) Determine the temperature of the upper surface, T₂ if its emissivity is ?₂ = 0.5. What is the temperature of the lateral wall, T₃?

(b) If conditions for the furnace floor remain unchanged, but all surfaces are black instead of diffuse-gray, determine T₂ and T₃. From the dif- fuse and blackbody enclosure analyses, what can you say about the influence of ?₂ on your results?