A tube has diameters of 4 mm and 5 mm and a thermal conductivity 20 W/m C.

Question:

A tube has diameters of 4 mm and 5 mm and a thermal conductivity 20 W/m· ºC. Heat is generated uniformly in the tube at a rate of 500 MW/m3 and the outside surface temperature is maintained at 100ºC. The inside surface may be assumed to be insulated. Divide the tube wall into four nodes and calculate the temperature at each using the numerical method. Check with an analytical solution.