Steel ball bearings (K = 50 W/m-K, a = 1.3 ´ 10–5 m2/s) having a diameter of 40 mm are heated to a temperature of 650 0C and then quenched in a tank of oil at 55 0C. If the heat transfer coefficient between the ball bearings and the oil is 300 W/m2-K, determine -
- the duration of tie the bearings must remain in oil to reach a temperature of 200 0C;
- the total amount of heat removed from each bearing during this time;
- the instantaneous heat transfer rate from the bearings when they are first immersed in oil and when they reach 200 0C.