The 4 m4 m horizontal roof of an uninsulated alu-minum

Chapter 9, Problem 9.44

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The 4 m?4 m horizontal roof of an uninsulated alu-minum melting furnace is comprised of a 0.08-m- thickfireclay brick refractory covered by a 5-mm-thick steel(AISI 1010) plate. The refractory surface exposed to thefurnace gases is maintained at 1700 K during operation,while the outer surface of the steel is exposed to the airand walls of a large room at 25?C. The emissivity of thesteel is ?0.3.(a) What is the rate of heat loss from the roof?(b) If a 20-mm-thick layer of alumina-silica insulation(64 kg/m3) is placed between the refractory andthe steel, what is the new rate of heat loss from theroof? What is the temperature at the inner surfaceof the insulation?(c) One of the process engineers claims that the tem-perature at the inner surface of the insulation foundin part (b) is too high for safe, long-term operation.What thickness of fireclay brick would reduce thistemperature to 1350 K?

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