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 free stream velocities V of the air. The results are as follows:

(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”, determine the parameters e and n from the results of part (a).

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Air velocity, V (m/s) Power, P' (W/m) 8 4 12 1963 450 658 983 1507