8.65 Consider a thin-walled, metallic tube of length L ϭ 1 m and inside diameter D i ϭ 3 mm. Water enters the tube at m ⅐ ϭ 0.015 kg/s and T m , i ϭ 97 Њ C. (a) What is the outlet temperature of the water if the tube surface temperature is maintained at 27 Њ C? (b) If a 0.5-mm-thick layer of insulation of k ϭ 0.05 W/m ⅐ K is applied to the tube and its outer surface is maintained at 27 Њ C, what is the outlet temperature of the water? (c) If the outer surface of the insulation is no longer maintained at 27 Њ C but is allowed to exchange heat by free convection with ambient air at 27 Њ C, what is the outlet temperature of the water? The free convection heat transfer coefficient is 5 W/m 2 ⅐ K.