Question: QUESTION 2 During a plant visit, it was noticed that a section of a circular steam pipe of length L=12 m and of diameter D=12

QUESTION 2 During a plant visit, it was noticed that a section of a circular steam pipe of length L=12 m and of diameter D=12 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=25 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 Tsurr=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. In the Little Book of Thermofluids, use the properties of air at 1 atm and at the film temperature, i.e. the average between Ts and Tamb. The kinematic viscosity of air is v=1.702 x 10-5 m/s. The Stefan-Boltzmann constant is o=5.67 x 10-8 W/(m2K). a) Determine the amount of heat lost from the steam pipe b) By first writing down the equation governing steady conduction in a cylinder without heat generation, obtain an expression for the temperature profile through the pipe wall. c) Using an energy balance, calculate the temperature of the internal surface of the pipeline
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