A furnace is constructed in three sections, which include

Chapter , Problem 13.26

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A furnace is constructed in three sections, which include insulated circular (2) and cylindrical (3) sections, as well as an intermediate cylindrical section (1) with embedded electrical resistance heaters. The overall length and diameter are 200 mm and 100 mm, respectively, and the cylindrical sections are of equal length. The surroundings are at 0 K. (a) If all the surfaces are black, determine the electrical power, q1, required to maintain the heated section at 1000 K. (b) What are the temperatures of the insulated sections, T2 and T3? (c) For D 100 mm, generate a plot of q1, T2, and T3 as functions of the length-to-diameter ratio, with 1 L/D 5.

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