Derive expression for temperature distribution in wire


Consider an electric wire that is hollow in the center to allow a coolant to flow. The rate of electrical heat generation per unit volume of wire is Se. The inner radius of the wire (Ri) is maintained at Ti while the outer radius of the wire (Ro)is maintained at To. Derive an expression for the temperature distribution in the wire as a function of radial position but also containing the constants of integration. In addition, obtain equations which if solved result in expressions for the integration constants.

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Mechanical Engineering: Derive expression for temperature distribution in wire
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