Solve Problem 4.3.2 using the Manning equation (n = 0.011 for ductile iron) for friction losses instead of the Darcy-Weisbach equation.
Problem 4.3.2
Determine flow rates in the branching pipe system depicted in Figure P4.3.2 given the following water surface (WS) elevation and pipe data (lengths and diameters): ..

All of the pipes are lined ductile iron (DIP, e = 0.0004 ft), and the temperature of the water is 68 °F. Also determine the elevation of the junction (J) if the pressure head (P/y) at the junction measured by a piezometer (height from P to J) is 30 ft.

Figure P4.3.2

WSI 5,200 ft WS2 = 5,150 ft WS3 5, 100 ft L16.000 ft L2 2,000 ft L3 8,000 ft D2 3 ft 2o0 Reservoir 1 Ws2 Reservoir 2 Pipe I Pipe 2 Pipe 3 Reservoir 3