A long, cylindrical, electrical heating element of
Chapter 7, Problem 7.49(choose chapter or problem)
A long, cylindrical, electrical heating element of diameterD?10 mm, thermal conductivity k?240 W/m?K, den-sity ??2700 kg/m3, and specific heat cp?900 J/kg?K isinstalled in a duct for which air moves in cross flow overthe heater at a temperature and velocity of 27?C and10 m/s, respectively.(a) Neglecting radiation, estimate the steady-state sur-face temperature when, per unit length of theheater, electrical energy is being dissipated at a rateof 1000 W/m. (b) If the heater is activated from an initial temperatureof 27?C, estimate the time required for the surfacetemperature to come within 10?C of its steady-statevalue.
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