Q$3.$ Liquid ammonia $(k=0\mathrm{.}4348\frac{W}{m}.K,=571k\frac{g}{m^3},=1\mathrm{.}155{10}^{-4}k\frac{g}{m}.s)$ flows through a $152-mm$ inner diameter, $7$ mm thick carbon steel $(K_s=63\mathrm{.}9\frac{W}{m}.K)$ pipeline at a rate of $50k\frac{g}{s}.$ If wind passes over this pipe at speed of $10\frac{m}{s}$ and temperature of $T_{}=0C,$ find the overall heat transfer coefficient for this pipeline per unit length, based on the inside surface of the pipe. $(35$ points$)$