A spherical metal ball with a 2.5 mm diameter is in free fall in a water pool, with a terminal velocity of 1 m/s. The water temperature is 293 K, while the surface temperature of the metal ball...

A spherical metal ball with a 2.5 mm diameter is in free fall in a water pool, with a terminal velocity of 1 m/s. The water temperature is 293 K, while the surface temperature of the metal ball (assumed to be uniform) is at 350 K.

 a. Calculate the heat transfer coefficient at the stagnation point of the ball.

b. Calculate the average heat transfer coefficient between the ball surface and the water, using an appropriate correlation of your choice. You may use Appendix Q for selecting an appropriate correlation.