= = Problem 3 (30 points): The inside surface of a metallic tube [k=90W/m.K, ID 7cm, OD = 10cm] is maintained at a temperature of 0C by filling its interior with melting ice. The outside surface of the tube is covered with an insulating material [k = 0.1W/m.K, thickness = 1cm]. The outside surface of the insulation is exposed to atmospheric air at a temperature of 25C and heat transfer coefficient of 10W/m.K . Assume that the ice latent heat of melting is 5x10J/kg . Determine the: 1. The overall heat transfer coefficient. 2. Steady state heat transfer rate per unit tube length. 3. The temperature at a depth of 0.5cm inside the insulating material 4. Rate of ice melting per unit tube length