
The Inner and Outer Surface Temperatures of The Pipe, Cengel 2.68
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In this thermal problem, we examine a compressed air pipe with length L=6m, inner radius r1=3.7cm, and outer radius r2=4.0cm. The pipe's thermal conductivity is k=14W/m·°C, and it's equipped with a 300W strip heater. Air flows through the pipe at an average temperature of 10°C, and the inner surface convection heat transfer coefficient is h=30W/m2·°C. To prevent freezing and blocking, the outer surface is wrapped in electric strip heaters, then insulated. We'll find the differential equation for steady one-dimensional heat conduction (a), solve it to determine the temperature variation (b), and calculate inner and outer surface temperatures (c).
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