The engine cylinder of a motorcycle has a height of 0.15 m and an outer diameter of 50 mm die. Under normal operating conditions, the outer surface of the cylinder is at a temperature of 500 k. The convection coefficient between the cylinder surface and the ambient air at 300 k is 50 w/m2k. The circular blades cast as a whole with the cylinder are 20 mm long and 6 mm thick. The wings are placed at each end of the array with a spacing of 4.5 mm and a wing spacing of at least 9 mm. The blade efficiency is 0.95.

a) What is the increase in heat transfer with the addition of fins?

b) Calculate the changes you will make in the number and placement of the fins to increase the total heat transfer by 30%.