$160,000l{b}_{m}h$ propyl alcohol is to be heated from $65F$ to $100F$ in a shell$-$and$-$tube heat exchanger The $140,000lb\frac{m}{h}$ heated kerosene stream available at $150F$ is used for this purpose. It is found that kerosene is dirtier than the propyl alcohol and offers twice the value of fouling factor to that of propyl alcohol. The dirt factor for propyl alcohol is $0\mathrm{.}001$ h$.$ft ${?}^2.\frac{F}{B}tu.$ Design a shell$-$and$-$tube heat exchanger for this service. Do one trial only and suggest what to do in the next trial.

The following additional information is provided:

$-$Use simplified Bell$-$Delaware method so use $20\%$ baffle cut

$-$Use AES shell$-$and$-$tube heat exchanger

$-$Use $\frac{B}{d},$ ratio as $0\mathrm{.}2$

$-$Take tube size as I in OD$,14$ BWG$,1\mathrm{.}25$ in square pitch, and Is ft length

Take the overall heat transfer coefficient for the kerosene$-$propyl alcohol as $40-60$Btu$(h*f{t}^2*F)$ and use $56$ Btu$/$h$.f{t}^2*F$ to start the calculations

Tube side heat transfer coefticient as $152\mathrm{.}46Bt\frac{u}{h,f{t}^2*p}$

$-$Assume negligible viscosity correction factors

$-$Take wall thermal conductivity as $22Bt\frac{u}{h*ft*F}$

$-$Use thermal conductivity of kerosene as $0\mathrm{.}085$ and propyl alcohol as $0\mathrm{.}08$Btu $($

h$.$tt $F)$

Take specific gravity of kerosene as $0\mathrm{.}65$ and propyl alcohol as $0\mathrm{.}77$

$-$Use specific heat capacity of kerosene as $0\mathrm{.}58$Btu$(1b_{m}F)$ and its viscosity as $2\mathrm{.}2l{b}_m(ft*h)$

$-$Available nozzle pipe is schedule $80$

$-$Total tube side pressure drop is $2\mathrm{.}145$ psia

$-$Allowable pressure drop on each side is $5$ psia