The both ends of a 0.5 cm diameter copper U-shaped rod (k = 386 W/m.K) are rigidly fixed to a vertical wall. The temperature of the wall is maintained at 90°C. The developed length of the rod is 60 cm...

The both ends of a 0.5 cm diameter copper U-shaped rod (k = 386 W/m.K) are rigidly fixed to a vertical wall. The temperature of the wall is maintained at 90°C. The developed length of the rod is 60 cm and it is exposed in air at 30°C with h = 34 W/m².K.

(a) Calculate the temperature at the mid-point of the rod

(b) Heat transfer rate from the rod.