A flat plate of width 1 m is maintained at a uniform surface temperature of Ts = 150°C by using independently controlled, heat-generating rectangular modules of thickness a = 10 mm and length b = 50 mm. Each module is insulated from its neighbors, as well as on its back side. Atmospheric air at 25°C flows over the plate at a velocity of 30 m/s. The thermo physical properties of the module are k = 5.2 W/m ∙ K. c p = 320 J/kg ∙ K, and p = 2300 kg/m3 .

(a) Find the required power generation, q (W/m3), in a module positioned at a distance 700 mm from the leading edge.

(b) Find the maximum temperature Tmax in the heat generating module.