Derive an expression for the temperature distribution


Solve the following probelm:

Q: Heat is generated uniformly in the fuel rod of a nuclear reactor. The rod has a long, hollow cylindrical shape with its inner and outer surfaces at temperatures of Ti and To, respectively. Derive an expression for the temperature distribution.

GIVEN

A long, hollow cylinder with uniform internal generation

Inner surface temperature = Ti

Outer surface temperature = To

ASSUMPTIONS

Conduction occurs only in the radial direction

Steady stateprevails

838_Rod.jpg

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Electrical Engineering: Derive an expression for the temperature distribution
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