do not use chat gpt please, show your work and write legibly. ai generated answers will be down voted, thank you. Calculate the shell$-$side heat transfer coefficient using a baffle spacing $0\mathrm{.}4$ shell diameter.

A process stream, with an inlet temperature of $110C$ is to be cooled to $48C.$ The process stream has a flowrate of $33000k\frac{g}{h}.$ Cooling water is available at $25C$ for cooling purposes. The cooling water outlet temperature should not exceed $36C.$

The physical properties of the process and cooling water stream are as follows:

$\backslash$table$[[,$Process stream,Cooling wator$],[$Density $($kg$*$m$^(-3)),732,992],[$Heat capacity $($J$*$kg$^(-1)*$K$-1),3320,4190],[$Viscosity $($N$*$s$*$m$^(-2)),3\mathrm{.}7\backslash$times $10^(-4),8\mathrm{.}0\backslash$times $10^(-4)],[$Thermal conductivity $($W$*$m$^(-1)*$K$^(-1)),0\mathrm{.}136,0\mathrm{.}613],[$Fouling coefficient $($W$*$m$^(2),$K$^(-1)),6000,3000],[$Allowable pressure drop $($kPa$),60,60]]$

Tubes $(k=45(W)*m^{-1}*K-1)$ with an outside diameter $(OD)=19\mathrm{.}05mm,$ wall thickness of $2mm$ and length $=4\mathrm{.}88m,$ are available. A triangular pitch of $1\mathrm{.}25OD$ has been selected.