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Heat Transfer · Fins and transient conduction

Superheated steam at 250 °C with h_i = 200 W/m²·K flows inside a carbon-steel pipe (k =…

Problem

Superheated steam at 250 °C with h_i = 200 W/m²·K flows inside a carbon-steel pipe (k = 45 W/m·K, ID = 80 mm, OD = 90 mm). The pipe is insulated first with 15 mm of perlite (k = 0.060 W/m·K) and then with 25 mm of fiberglass (k = 0.036 W/m·K). Outdoor air is 10 °C with h_o = 18 W/m²·K. For a 12 m run, construct the full cylindrical thermal network, evaluate every resistance, and find the steam-to-air heat-loss rate and the steel–perlite interface temperature.

Hint

Full network: inner convection, steel wall, perlite, fiberglass, outer convection.

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