Heat Exchanger Design

A shell and tube Heat Exchanger is to be designed to sub$-$cool condensate from a methanol condenser from $95C$ to $40C.$ Flowrate of methanol is $100000k\frac{g}{h}.$ Brackish water will be used as the coolant with a temperature rise from $25C$ to $40C.$ A pressure

drop of $\frac{0\mathrm{.}8}{b}ar$ is permissible on both streams. Allowance should be made for fouling by including a fouling heat transfer coefficient for methanol as $5000\frac{W}{m^{2\text{@}}}C$ and $3000\frac{W}{m^{2\text{@}}}C$ on the brackish water stream. Thermal conductivity of cupro nickel alloys is $50\frac{W}{m}C.$

$\backslash$table$[[$Property$,$Water,Methanol$],[$Specific heat $(k\frac{J}{k}gC),4\mathrm{.}2,2\mathrm{.}84],[$Thermal conductivity $(\frac{W}{m}C),0\mathrm{.}59,0\mathrm{.}19],[$Density $k\frac{g}{m^3},995,750],[$Viscosity cP$,0\mathrm{.}8,0\mathrm{.}34]]$

Make suitable assumptions. And design both cases $-$ With Fin & Without fin.