A common cooling distribution unit $($CDU$)$ is required to transfer $600$ kW from a technology cooling system $($TCS$)$ to a facility water system $($FWS$).$ A conceptual schematic is shown in Fig. $1.$

Figure $1.$ Schematic diagram of the heat exchanger system to cool equipment.

Through the cold side of the heat exchanger, "dirty" water is flowed in an open loop, i$.$e$.$ the water leaving the heat exchanger is dumped. The cooling water is available at an inlet temperature of $27C.$ Due to environmental considerations, the outlet temperature must not exceed $37C$ to avoid severe ecological harm to the river where the water is dumped. Consider what an appropriate fouling factor is for your cold$-$side calculations.

Through the hot side of the heat exchanger, a mixture of water and $25\%$ propylene glycol $($PG$25)$ is used. The heat exchanger inlet temperature of the hot PG$25$ is $45C$ and the outlet temperature needs to be $30C.$ Consider what an appropriate fouling factor is for your hot$-$side calculations.

Consider one heat exchanger option for transferring $600$ kW $,$ a shell$-$and$-$tube $($copper tube$)$ heat exchanger, specify the required size of the heat exchanger $($heat exchanger surface area$),$ and general design requirements, e$.$g$.$ number and size of tubes, flow configuration, and the required flow rates of the "dirty" water on the cold side and the PG$25$ on the hot side.

Discuss the advantages and disadvantages of the heat exchanger system, and provide your recommendation for solving this cooling problem.

Your tasks are:

To analyze the use of a shell$-$and$-$tube heat exchanger to solve the cooling problem.

a$.$ Specify the required water flow rate.

b$.$ Specify the required flow of PG$25.$

c$.$ Specify the size $($total heat exchanger surface area$)$ of the heat exchanger.

d$.$ Specify the number of tubes and the configuration of the flows.

ANALYZE THIS DESIGN PROBOEM FOR SHELL$-$AND$-$TUBE ONLY!