A very long rod of 5 mm diameter and conductivity 25 W/m K is subjected to a heat
treatment process. A 30 mm long portion of the rod within the induction heating coil
experiences uniform volumetric heat generation of 7.5 × 106 W/m3
. The unheated
portions of the rod experience convection with the ambient air at 20 °C and h = 10
W/m2 K. Assume that there is no convection from the surface of the rod within the coil.
(a) Calculate the steady-state temperature To of the rod at the midpoint of the heated
portion in the coil. (b) Calculate the temperature of the rod Tb at the edge of the heated
portion.
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