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4.3.2. Determine flow rates in the branching pipe system depicted in Figure given the following water surface (WS) elevation and pipe data (lengths and diameters): WS1 = 5,200 ft L1 = 4,000 ft WS2 = 5,170 ft = Reservoir 1 WS35,100 ft WSI L2= 2,000 ft Pipe 1 L3= 3,000 ft 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 (PJ/y) at the junction measured by a piezometer (height from J to H,) is 30 ft. (25 points) Reservoir 3 Hint: As a first guess, try P = 5170 ft (elevation of middle reservoir), or 5170.01 to avoid division by zero. WS3 D1 = 3 ft J D2 = 5 ft Pipe 3 D3 = 4 ft Pipe 2 WS2 Reservoir 2

Fig: 1