During a plant visit, it was noticed that a section of a circular steam pipe of length L=12 m and of external diameter D=10 cm is completely exposed to the ambient air. The temperature measurements indicate that the average temperature of the outer surface of the steam pipe is Ts=75 C when the ambient temperature is Tamb=5 C. There are also light winds in the area at U=10 km/h. The emissivity of the outer surface of the pipe is e=0.8, and the average temperature of the surfaces surrounding the pipe, including the sky, is estimated to be Tsun=0 C. Assume steady operating conditions, that air is an ideal gas with constant properties, and that the local atmospheric pressure is 1 atm. Neglect natural convection. The properties of air at 1 atm and at the film temperature, i.e. the average between Tsand Tamb; The kinematic viscosity of air is v=1.702 x 10-5 m/s. k= 0.02662 W/m.k. Prandtl number=0.7225. The Stefan-Boltzmann constant is o=5.67 x 10-6 W/(m2K). a. b. Determine the convective heat lost from the steam pipe. Determine the radiative heat lost by the steam pipe. Write down the differential equation for steady one- dimensional heat conduction through the pipe wall and the conduction heat rate equation. Assume there is no heat generated. C