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 diffuse gray (a) Determine the temperature of the upper surface, T 2 if its emissivity is 2 0 5 What is the temperature of the lateral wall, T 3 (b) If conditions for the furnace floor remain unchanged, but all surfaces are black instead of diffuse gray, determine T 2 and T 3 From the dif fuse and blackbody enclosure analyses, what can you say about the influence of 2 on your results D, 20 mm L 50 mm D, 40 mm 3D

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 ?

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?

D, = 20 mm L= 50 mm D, = 40 mm %3D

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