A long rectangular plate of AISI 304 stainless steel is initially at 1200 K and is cooled by an array of slot jets (see Figure 7.16). The nozzle width and pitch are W = 10 mm and S = 100 mm, respectively, and the nozzle-to-plate separation is H = 200 mm. The plate thickness and width are t = 8 mm and L = 1 m, respectively. If air exits the nozzles at a temperature of 400 K and a velocity of 30 m/s, what is the initial cooling rate of the plate?