A furnace has the form of a truncated conical section,as

Chapter 13, Problem 13.66

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A furnace has the form of a truncated conical section,as shown in the schematic. The floor of the furnace hasan emissivity of ?1?0.7 and is maintained at 1000 Kwith a heat flux of 2200 W/m2. The lateral wall is per-fectly insulated with an emissivity of ?3?0.3. Assumethat 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 tem- perature of the lateral wall, T3?(b) If conditions for the furnace floor remain unchanged,but all surfaces are black instead of diffuse-gray,determine T2and T3. From the diffuse and black-body enclosure analyses, what can you say aboutthe influence of ?2on your results?

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