600 K steam at a rate of 5000 kg/hr is flowing inside a long pipe that is insulated as shown. The steam flow inside the pipe is assumed to be fully-developed. Wind is blowing outside the pipe at a temperature of 250 K and a velocity of 40 mph. Calculate the convective heat transfer coefficient inside the pipe, hi, from the Dittus-Boelter correlation and the convective heat transfer coefficient outside the pipe, ho, from the Zukauskas correlation. Air density is calculated from the ideal gas law p=P/RT, where R is the gas constant for air (287 J/kg.K). Given information: R1=0.1 m R2=0.12 m R3=0.25 m kinsulation=0.04 W/m.K kpipe=50 W/m.K psteam=73 kg/m3 Prsteam(@ 600 K)=2.15 ksteam=0.093 W/m.K usteam=22.7E-06 N.s/m2 uair=15.96E-06 N.s/m2 Prair=0.7 kair=0.0223 W/m.K Pair=101300 Pa a) Sketch the thermal circuit for the system. b) calculate the heat loss per meter of the pipe. c) Calculate the surface temperatures T1, T2 and T3. d) Calculate the overall heat transfer coefficients, Ui and Uo.