You have to design a $1-2($one shell pass, two tube pass$)$ shell and tube heat exchanger $($STHE$)$ for heating milk from $40$ C to $73$ C with a flow rate of $5$ kg$/$s$.$ Milk is flowing in tube side. Heating will be accomplished by steam having a gauge pressure of $97\mathrm{.}2$ kPa and condensing in the shell side. The STHE contains $86$ tubes, $1$ in Outer Diameter $($OD$)16$ BWG $($British Wire Gauge$)$ stainless steel tubes arranged in staggered pitch with longitudinal and transverse pitches of SL$=$ST$=11/4$ in$.$The shell has inner diameter of $15$ in and outer diameter of $16$ in$.$ Assume surface temperature $($Ts$)$ at the outer surface of inner tube as $1150$C$.$ The milk side fouling coefficient is $0\mathrm{.}0005$ m$2\mathrm{.}0$C$/$W$.$