Engine oil with properties given below flows at a rate of $136$ kg per hour through a $7\mathrm{.}5-cm-$ID pipe whose inside surface is maintained at $100C.$ If the oil enters at $160C$ and exits at $140C,$ determine the convective heat transfer coefficient for a $15-m-$long pipe.

$\backslash$table$[[T,K,,k\frac{g}{m^3},C_p,k\frac{J}{k}g*K,k,\frac{W}{m}*k,v,\frac{m^2}{s}{10}^3,$Pr$],[373,842,2\mathrm{.}219,0\mathrm{.}137,0\mathrm{.}0203,276],[393,831,2\mathrm{.}306,0\mathrm{.}135,0\mathrm{.}0124,175],[413,817,2\mathrm{.}394,0\mathrm{.}133,0\mathrm{.}0080,116],[433,808,2\mathrm{.}482,0\mathrm{.}132,0\mathrm{.}0056,84]]$

Answer: $10\mathrm{.}9$ W$/$m$^2*K$