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3. a pipe with inner radius 4cm thickness 03cm and thermal...

# Question: a pipe with inner radius 4cm thickness 03cm and thermal...

###### Question details

A pipe with inner radius 4cm, thickness 0.3cm, and thermal conductivity k=15W/m·°C equipped with a 350W strip heater around the pipe. The length of the pile is 5.5m, and conveys air at an average temperature of -15°C. The average convection heat transfer coefficient on the inner surface is h=30 W/m2 ·°C. If we assume that 90% of the heat in the strip heater is absorbed by air, determine: (a) the differential equation and the boundary conditions for steady onedimensional heat conduction through the pipe, (b) a relation for the variation of temperature in the pipe material by solving the differential equation, (c) the inner and outer surface temperatures of the pipe