A thin metallic wire of thermal conductivity k, diameter

Chapter , Problem 3.116

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A thin metallic wire of thermal conductivity k, diameter D, and length 2L is annealed by passing an electrical current through the wire to induce a uniform volumetric heat generation q . . The ambient air around the wire is at a temperature T, while the ends of the wire at x L are also maintained at T. Heat transfer from the wire to the air is characterized by the convection coefficient h. Obtain expressions for the following: (a) The steady-state temperature distribution T(x) along the wire, (b) The maximum wire temperature. (c) The average wire temperature

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