Saturated steam in at $600k\frac{g}{h}$

iea$-$water out

Sea$-$water in$,6600k\frac{g}{h},30C$

Figure $1$: Heat Exchanger

Figure $1$ shows the diagram of a shell$-$and$-$tube heat exchanger heating up sea$-$water using saturated steam at a constant temperature of $105C.$

i$)$ Design the total area and the length of the tubes using a bundle of fifty standard steel tubes. Each tube has an outside diameter of $60mm$ and an inside diameter of $52mm.[36\%]$

ii$)$ Please find the fouling coefficient on the sea$-$water side $14\%$

Data given and assumptions made:

The overall heat transfer coefficient based on the outer surface $U_0$:$1000\frac{W}{m^2}.K.$

Convective coefficient on sea$-$water side: $3000\frac{W}{m^2}.K$

Convective coefficient for steam side: $5000\frac{W}{m^2}.K$

Heat capacity for sea$-$water is assumed to be: $4\mathrm{.}2k\frac{J}{k}g.K$

The fouling coefficient on the steam$-$side was negligible

Neglect heat loss through conduction.