A $1-2$ shell and tube heat exchanger will be used to heat $5k\frac{g}{s}$ of a liquid food $($density $($:$1020\frac{kg}{m^3},Cp=3850\frac{J}{k}g.K,=0\mathrm{.}5{10}^{-3}(Pa).s,k=0\mathrm{.}68\frac{W}{m}.K,h_{do}=5680\frac{W}{m^2}.K\}$ from $10C$ to $65C$ by $12k\frac{g}{s}$ of a heating medium having an inlet temperature of $93C.$ Heating medium flows through the shell$-$side. The fouling coefficient and the heat transfer coefficient for the liquid flowing through the tubes is estimated as $200\frac{W}{m^2}*K$ and $700\frac{W}{m^2}.$K$.$ Determine the heat transfer coefficient for the tube sides and the required tube length. The pipe has inner and outer diamter of $22\mathrm{.}1mm$ and $25\mathrm{.}4mm$ respectively. $S_T=S_L=5cm$ Number of tubes is $86.C_p$ for heating medium is $4000\frac{J}{k}g.K.$