electric current flows through an infinitely long hollow cylindrical copper bar having internal and external diameters...

electric current flows through an infinitely long hollow cylindrical copper bar having internal and external diameters of 15 mm and 25 mm respectively. The temperature on the bar internal and external surfaces are maintained constant. The bar carries a current density of 5.5 x 107 A/m2 and the internal surface temperature is maintained at 45oC with no heat loss from the external surface due to insulation. The copper bar has thermal conductivity of 380 W/m.K and electrical resistivity of 2.5 x 10-8Ωm.Assume that the temperature changes in the radial direction only and neglect the end effects in the bar.(a)Derive the temperature distribution equation in the radial direction.(b)Find the temperature on the insulated external surface of the copper bar. (c)Calculate the amount of heat flux through the internal surface per metre length of the bar.

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samet mamat answered 7 months ago

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