An industrial process involves evaporation of a thin water film from a contoured surface by heating it from below and forcing air across it. Laboratory measurements for this surface have provided the following heat transfer correlation: Nu L = 0.43ReL0.58 Pr8.4. The air flowing over the surface has a temperature of 290 K, a velocity of 10 m/s, and is completely dry (ϕ∞ = 0). The surface has a length of 1 m and a surface area of 1 m2. Just enough energy is supplied to maintain its steady-state temperature at 310 K.

(a) Determine the heat transfer coefficient and the rate at which the surface loses heat by convection.

(b) Determine the mass transfer coefficient and the evaporation rate (kg/h) of the water on the surface.

(c) Determine the rate at which heat must be supplied to the surface for these conditions.