Consider Problem 8.47. A more realistic solution would account for the resistance to heat transfer due to free convection in the paraffin during melting. Assuming the tube surface to have a uniform temperature of 55°C and the paraffin to be an infinite, quiescent liquid, determine the convection coefficient associated with the outer surface. Using this result and recognizing that the tube surface temperature is not known, determine the water outlet temperature, the total heat transfer rate, and the time required to completely liquefy the paraffin, for the prescribed conditions. Thermo physical properties associated with the liquid state of the paraffin are k = 0.15 W/m ∙ K, (3 = 8 x 10^-4 K^-1, P = 770 kg/m³, v = 5 x 10^-6 m²/s, and a = 8.85 x 10^-8 m²/s.