Air at a pressure of 1 atm and a temperature of 300 C flows with a velocity of 10 m/s over a flat plate, 0.5 m long. Estimate the cooling rate per unit width of the plate needed to maintain it at a surface temperature of 27 C

2320.5 W/m

Step-by-step explanation

P= 1atm = 101325 Pa T = 300 C Voo = 10 m/S L=0.5m TS = 27 "C T= T+ Ts = 300+ 27 = 163.5 C 2 Properties of air at 1atm and 163.5 c 4= 0.0000 2438 Pas P = 0.8085 kg/m3 Pr = 0- 7023 K = 0.035 35 W/mk Re= pyoL = 0.8085x 10x 0.5 = 165823 0.000 02438 Since Re < 5x105, flow is laminate :. Nu = 0.664 Re 1/2 px/3 > hL = 0-664 x 165823 2x 0.702313 K hx 0.5 = 240.34 0.03535 7 h = 17 W/m2k :. Q = hL (T-Ts) - 9 = 17x 0.5x (300-27) 9= 2320.5 W