It is necessary to deliver \(270 \mathrm{ft}^{3} / \mathrm{min}\) of water from reservoir \(A\) to reservoir \(B\), as shown in Fig. P8.109. The connecting piping consists of four fully open gate valves, twelve regular \(90^{\circ}\) elbows, one swing check valve, two fully open globe valves, and \(3000 \mathrm{ft}\) of commercial steel pipe. Find the minimum diameter for steel pipe needed to obtain this flow rate. All fittings and valves have flanged connections. Assume a square-edged entrance.

Figure P8.109

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Elevation 150.0 ft Reservoir A Elevation 25.0 ft Reservoir B