A cable of radius conductivity k and specific heat moves through a furnace with velocity U and leaves at temperature T Electric energy is dissipated in the cable resulting in a volumetric energy generation rate of , or . pco qc.
Outside the furnace the cable is cooled by convection and radiation. The heat transfer coefficient is h, emissivity H, ambient temperature T and surroundings temperature is T Use a simplified radiation model and assume that the cable is infinitely long.
Write the steady state two-dimensional heat equation and boundary conditions.
