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Question: 1 a thin metallic wire of thermal conductivity k diameter...

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1. A thin metallic wire of thermal conductivity k, diameter D, and length 2L is annealed by passing an electrical current through the wire to induced a uniform volumetric heat generation . The ambient are around the wire is at a temperature loo, while the ends of the wire at z = L are also maintained at To. Heat transfer from the wire to the air is characterized by the convection coefficient h. Obtain an expression for the steady-state temperature distribution T(a) along the wire.

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