A thick-walled cylindrical tube has inner and outer diameters of 2 cm and 5 cm, respectively. The tube is evacuated and contains a high-temperature radiation source along its axis giving a net radiant heat flux into the inner surface of the tube of 105 W/m2. The outer surface of the tube is convectively cooled by a coolant at 300 K with a convective heat transfer coefficient of 120 W/m2 K. If the conductivity of the tube material is 2.2 W/m K. Requried:
Determine the temperature distribution T (r) in the tube wall. Also determine the inner-surface temperature.