In: Mechanical Engineering
A long wire of diameter D = 2mm is submerged in an oil bath at 25 degrees C. The wire has an electrical resistance per unit length of R’ = 0.015 Ω/m. If a current of I = 75A flows through the wire and the convection coefficient is h = 400 W/m2*K, what is the steady-state temperature of the wire? From the time the current is applied, how long does it take for the wire to reach a temperature that is within 1-degree C of steady-state? The wire properties are p = 7800 kg/m3, c = 500 J/kg*K, and k = 25 W/m*K.