Steam at  3 2 0 ° 𝐶  flows in a stainless steel pipe  (   𝑘 = 1 5 𝑊 𝑚 – 𝐾  whose inner and outer diameters are  5  cm and  5 . 5  cm  ,  respectively. The pipe is covered with  3 – 𝑐 𝑚 – thick glass wool insulation  (   𝑘 = 0 . 0 3 8 𝑊 𝑚 * 𝐾   ) .  Heat is lost to the surroundings at

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Steam at 320°C flows in a stainless steel pipe ( k=15WmK whose inner and outer diameters are 5 cm and 5.5 cm , respectively. The pipe is covered with 3cmthick glass wool insulation ( k=0.038Wm*K ). Heat is lost to the surroundings at 55°C by natural convection and radiation, with a combined natural convection and radiation heat transfer coefficient ( h=hose +hn  and Trer =T** ) of 15Wm2K.
a. Taking the heat transfer coefficient inside the pipe to be 80Wm2K determine the rate of heat loss from the steam per unit length of pipe.
b. What is the temperature at the outer surface of the pipe and the outer surface of the insulation?
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