Consider water at 27°C in parallel flow over an isothermal, 1-m-long flat plate with a velocity of 2 m/s.

(a) Plot the variation of the local heat transfer coefficient, hx(x), with distance along the plate for three flow conditions corresponding to transition Reynolds numbers of (i) 5 x 105 , (ii) 3 x 105, and (iii) 0 (the flow is fully turbulent).

(b) Plot the variation of the average heat transfer coefficient, hx(x), with distance for the three flow conditions of part (a).

(c) What are the average heat transfer coefficients for the entire plate, hL for the three flow conditions of part (a)?