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A 50 mm internal diameter horizontal steel pipe carrying steam is covered by a 50 mm...

A 50 mm internal diameter horizontal steel pipe carrying steam is covered by a 50 mm thick layer of a ceramic insulation material and is tightly wrapped with a 0.5 mm thick layer of clean aluminum foil. The wall thickness of the steel pipe is 3.9 mm. The entire pipe is surrounded by air at 20°C. The emissivity of the aluminum foil can be taken as 0.05. Determine the steady-state temperature of the outside surface of the aluminum foil if the temperature of the inner surface of the steel tube is 122°C. The thermal conductivity values are: for steel: 45 W/(m.K), for the insulation: 0.07 W/(m.K); for aluminum foil: 167 W/(m.K). {Hint: you have to account for both convective and radiation heat loss to the surroundings.}

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