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                                                   Water Distribution Systems: Components, Design, and Operation
                                          Chapter 6
                                    (a) Find the flow in each pipe.
                                                                                       designed to serve four small towns W, X, Y, and Z. Water is deliv-
                                    (b) If the pressure at any point in loop ABC is not allowed to drop
                                                                                       ered from the reservoir to the four towns by pump P. The Hazen–
                                       below 60 psi, determine the required elevation of the water
                                                                                       Williams C for all pipes is 130. Pipe diameters and lengths are as
                                       reservoir.
                                                                                       follows:
                                                           400 gpm
                                                           A
                                        Water
                                               10,000 ft    14 in
                                                                                                           d (in.)
                                                                                                                    L (ft)
                                                                                                     Pipe
                                       reservoir
                                                                   1500 ft
                                                                     8 in
                                                                                                     WX
                                                        500 ft
                                                                                                                   10,000
                                                                                                             10
                                                         10 in
                                                                                                                   12,000
                                                                                                             6
                                                                                                     XY
                                                                                                                   10,000
                                                           B
                                                                                                     WZ
                                                                                                             10
                                                                              C
                                                                                                                   11,000
                                                                                                             6
                                                                                                     ZY
                                                        600 gpm  1000 ft    10 in  1000 gpm  6.23  The regional water supply system shown in Fig. 6.39 is
                                                                                                     PW      16    40,000
                                       Figure 6.36 Water network for Problem 6.20.
                                    6.21  The water supply system shown in Fig. 6.37 is designed to  Compute the flow in each pipe using an accuracy of 20 gpm.
                                    serve a small town ABDCA. The flow from the reservoir is delivered
                                    to the town by gravity through a 400 mm main. All pipes have a
                                                                                                        Elevation (ft)
                                    Hazen–Williams C of 100. Determine the flow rate in each pipe.
                                                                                                Reservoir   50
                                                                                                  W        200    600 gpm
                                                                                                   X       250
                                         Water                                                                        X
                                        reservoir                                                  Y       200
                                                                                                   Z       250
                                                                                          Water                W               700 gpm
                                               400 mm
                                                           20 L/s            60 L/s      reservoir  P                     Y
                                       Point  Elevation (m) 400 m
                                                             300 mm  1600 m                               500 gpm
                                        A        100     A                   B                                     Z
                                        B        110
                                        C         80        400 m           400 m                                 500 gpm
                                        D        100
                                                                                       Figure 6.39 Water network for Problem 6.23.
                                                            200 mm          200 mm     6.24  Determine the equivalent pipe length of a 6 in (152.4 mm)
                                                         C   150 mm  1600 m  D         gate valve when it is ∕ 4 closed.
                                                                                                      3
                                                                                       6.25  Determine the equivalent pipe length of a sudden contrac-
                                                      25 L/s                  55 L/s   tion from 12 in. (304.8 mm) to 6 in. (152.4 mm) in diameter.
                                    Figure 6.37 Water network for Problem 6.21.
                                    6.22  The water supply system shown in Fig. 6.38 was designed
                                    10 years ago to serve a small town. A water pump P delivers the  REFERENCES
                                    required flow through a 12 in. water main from the water reservoir
                                                                                       Al-Dhowalia, K. H. and Shammas, N. K., Leak detection and quan-
                                    to the water distribution loop ABDCA.
                                                                                          tification of losses in a water network, International Journal of
                                        At present the water demand has increased to 2,000 gpm, which
                                                                                          Water Resources Development, vol. 7, no. 1, pp. 30–38, 1991.
                                    is assumed to be withdrawn at points A, B, C, and D as shown in
                                                                                       American Water Works Association, Distribution System Require-
                                    the figure. At these drafts the pump can deliver a head of 200 ft.
                                                                                          ments for Fire Protection, 3rd ed., Manual of Water Supply
                                    All pipes are made of PVC with a Hazen–Williams coefficient C of
                                                                                          Practices M31, Denver, CO, 1998.
                                    140. Find the flow in each pipe.
                                                                                       American Water Works Association, Water Transmission and Dis-
                                                                                          tribution, AWWA Publication, Denver, CO, 2010, 533 pp.
                                                   Elevation (ft)  250 gpm             Camp, T. R. and Hazen, H. L., Hydraulic analysis of water dis-
                                                Reservoir    1200    B                    tribution systems by means of an electric network analyzer,
                                                Loop ABDCA  1250
                                                                                          Journal of New England Water Works Association, vol. 48,
                                                                                          p. 383, 1934.
                                        Water                A              600 gpm
                                       reservoir  P                     D              Chan,W.Y.W.andWang,L.K.,Animprovedmethod forestimating
                                                                                          the water demand in buildings, Journal of Civil Engineering
                                                        750 gpm
                                                                 C                        Design, vol. 2, no. 3, pp. 221–237, 1980.
                                                                                       Chan, W. Y. W. and Wang, L. K., Estimating of water demand
                                                                400 gpm
                                                                                          in apartment buildings, Civil Engineering for Practicing and
                                    Figure 6.38 Water network for Problem 6.22.           Design Engineers, vol. 2, no.1, pp. 159–174, 1982.
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