Reconsider Prob. 18€“38. Using an appropriate software, evaluate the local convection heat transfer coefficient, the local surface temperature, and the local film temperature along the plate. By varying the location along the plate for 0.2 ‰¤ x ‰¤ 4 m, plot the local convection heat transfer coefficient, the local surface temperature, and the local film temperature as function of x.

Data from 18-38 

Air is flowing in parallel over the upper surface of a flat plate with a length of 4 m. The first half of the plate length, from the leading edge, has a constant surface temperature of 50°C. The second half of the plate length is subjected to a uniform heat flux of 86 W/m². The air has a free stream velocity and temperature of 2 m/s and 10°C, respectively. Determine the local convection heat transfer coefficients at 1 m and 3 m from the leading edge. Evaluate the air properties at a film temperature of 30°C. Is the film temperature T_f = 30°C applicable at x = 3 m?

Air, V, T. Constant T = 50C111 86 W/m2