A thin porous metal plate, 0.3 m long and very wide, is placed in a stream of dry air at 500°C and 1 atm absolute pressure, flowing at a velocity of 15 m/s parallel to the 0.3 m dimension. Liquid water is supplied continuously to the plate and evaporates at the plate surface to keep the plate cool.

(a) Determine the steady-state temperature of the plate assuming that the liquid water is supplied at the same temperature at which the plate is kept.

(b) Determine the rate at which water has to be supplied to the plate per square meter of plate area.