An alternative heating medium for Exercise 12.6 is a distillate:

Determine the tube-side velocity, number and length of tubes, and shell diameter for a 1-6 shell-and-tube heat exchanger using the 1-in.-O.D. by 16 BWG tubes on a 1.25-in. square pitch. Design to avoid pressure drops greater than 10 psia. If necessary, change the configuration to keep the tube length below \(20 \mathrm{ft}\).

Data From Exercise 12.6:-

A horizontal 1-4 heat exchanger is used to heat gas oil with saturated steam. Assume that \(h_{o}=1,000 \mathrm{Btu} / \mathrm{hr}^{-}-\mathrm{ft}^{2}{ }^{\circ} \mathrm{F}\) for condensing steam and the fouling factor \(=0.004\left(\mathrm{hr}-\mathrm{ft}^{2}{ }^{\circ}{ }^{\circ} \mathrm{F}\right) / \mathrm{Btu}[1 \mathrm{bbl}=42 \mathrm{gal}]\).

(a) For a tube-side velocity of \(6 \mathrm{ft} / \mathrm{sec}\), determine the number and length of tubes and the shell diameter.

(b) Determine the tube-side pressure drop.

Inlet Shell Side Outlet Fluid -35 API distillate - Flow rate Temperature (F) 250 150 Pressure (psig) 80 Viscosity (CP) 1.3 3.4 Sp. gr. 0.798 0.836 Thermal conductivity 0.076 0.078 Btu/(ft-hr-F) Heat capacity (Btu/lb-F) 0.53 0.47