Heat flows a pipe wall, with and outer radius Ro. The length of the pipe is L. The thermal conductivity of the pipe material is proportional to the temperature squared in the form: k=aT² + b a. Derive the equation for the pipe wall temperature profile, b. Calculate the heat loss through the pipe wall.

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Heat flows through a pipe wall, with a radius in Ri
and outer radius Ro. The length of the pipe is L. The thermal conductivity of the pipe
material is proportional to the temperature squared in the form:
k=aT²+b
a. Derive the equation for the pipe wall temperature profile,
b. Calculate the heat loss through the pipe wall.
Transcribed Image Text:Heat flows through a pipe wall, with a radius in Ri and outer radius Ro. The length of the pipe is L. The thermal conductivity of the pipe material is proportional to the temperature squared in the form: k=aT²+b a. Derive the equation for the pipe wall temperature profile, b. Calculate the heat loss through the pipe wall.
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