A rod is heated at the rate of 30 watts at the middle point and is insulated at its two ends. The two half sections are cooled by convection by an ambient fluid at 20 degree Celsius with a heat transfer coefficient of 30 W/m^2 C. The diameter of the rod is 0.5 cm, its length is 18 cm and its thermal conductivity is 206 W/mC. Determine the temperature in the middle of the rod and at the insulated ends. Please describe your strategy of solving this problem.