A cable of radius conductivity , k, density or U and specific heat moves through a furnace with velocity U and leaves at temperature Electric energy is dissipated in the cable resulting in a volumetric energy generation rate of pc . Toq.
Outside the furnace the cable is cooled by convection.
The heat transfer coefficient is h and the ambient temperature is T Model the cable as a fin and assume that it is infinitely long. Determine the steady state temperature distribution in the cable.