A solid ceramic heater shaped like a cylinder is placed in a room of cool, stagnant air. The bulk temperature of the air is 24 C. The surface temperature of the ceramic cylinder is maintained at 310 C. The ends of the cylinder are covered by electrical connections and can be neglected.

1. If the cylinder is horizontal in the room, calculate the heat transfer coefficient, h.
2. Calculate the heat transfer coefficient, h if the cylinder is placed vertically in the room.
3. Calculate the heat transfer coefficient if a fan is used to blow air over the vertical cylinder at a velocity of 3 m/s.
4. What correlations did you use to find h in part A, B and C? Is this problem a steady state or unsteady state problem?