Design a shell$-$and$-$tube exchanger for the following duty:

A heat exchanger is to be designed to heat raw water by the use of condensed water at $70\backslash$deg C and $0\mathrm{.}2$ bar, which will flow with a mass flow rate of $60,000$ kg$/$hr$.$ The heat will be transferred to $40,000$ kg$/$hr of city water coming from a supply at $15\backslash$deg C $(4184$ J$/$kg K$).$ A fouling resistance of $0\mathrm{.}00018$ m K$/$W is suggested and the surface over design should not be over $35\%.$ A maximum coolant velocity of $1\mathrm{.}5$ m$/$s is suggested to prevent erosion. A maximum tube length of $4\mathrm{.}5$ m is required because of space limitations$.$ The tube material is

carbon steel $($k $=60$ W$/$m K$).$ Raw water will flow inside of $3/4$in$.$ straight

tubes $(19$ mm OD with $16$ mm ID$).$ Tubes are laid out on a square pitch with a pitch ratio of $1\mathrm{.}25.$ The baffle spacing is approximated by $0\mathrm{.}6$ of shell diameter, and the baffle cut is set to $25\%.$ The permissible maximum pressure drop on the shell side is $5\mathrm{.}0$ psi. The water outlet temperature should not be less than $40\backslash$deg C$.$

Write a report with the following:

$$ Preliminary analysis.

$$ State your assumptions.

$$ Perform manual calculations.

$$ Perform a simulation for the HX$.$