A cable of radius conductivity k, density , or U and specific heat moves with velocity U through a furnace and leaves at temperature T Outside the furnace the cable is cooled by radiation. The surroundings temperature is and surface emissivity is Tsur H.
In certain cases axial conduction can be neglected. Introduce this simplification and assume that the cable is infinitely long.
Use a fin model to determine the steady state temperature distribution in the cable.