Air at 40°C flows over a long, 25 mm-diameter cylinder with an embedded electrical heater. In a series of tests, measurements were made of the power per unit length, P', required to maintain the cylinder surface temperature, at 300°C for different freestream velocities V of the air. The results are as follows,
Air Velocity, V(m/s) 1 2 4 8 12
Power, P' (W/m) 450 658 983 1507 1963
(a) Determine the convection coefficient for each velocity, and display your results graphically
(b) Assuming the dependence of the convection coefficient on the velocity to be of the form h = CV^n, determine the parameters C and n from the results of part (a)