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                                                                                  8.6 Types of Distributing Reservoirs  283


                     EXAMPLE 8.8   PUMPING AND STORAGE SYSTEM
                                         Draw a sketch, showing a system (including the raw water reservoir, pump station, water transmis-
                                         sion lines, elevated water storage tank, hydraulic grade line, elevation in ft or m, etc.) based on the
                                         following information: The raw water reservoir of a city is at an elevation of 500 ft (152.4 m). An au-
                                                                                                               3
                                         tomatic booster pumping station is proposed, having for its control point a 550,000-gal (2,082 m )
                                         water storage tank. The design tank water level is at an elevation of 490 ft (149.4 m).
                                             Measurement of the water storage tank level is to be transmitted to the pumping station and is
                                         to be the only variable used for the control of the pumps in the pumping station. The head losses of
                                         the water transmission line between the raw water reservoir and the elevated water storage tank (in-
                                         cluding the miscellaneous head losses in the proposed pumping station) computed for the rate of
                                         flow of 1,600 gpm (101 L/s), are 40 ft or (12.2 m), which is to be overcome by the pumps. A chlo-
                                         rination system is used for treating the water entering the elevated water storage tank. The chlori-
                                         nated water from the tank is transmitted to the city’s water filtration plant for further treatment prior
                                         to domestic consumption.

                                         Solution:

                                           El. 500 ft
                                                                                                        El. 490'
                                                                      Hydraulic
                                                                      grade line
                                                                                           40 ft
                                                                                        at 1600 gpm







                                        Figure 8.11 Sketch of Water Supply System for Example 8.8
                                                                                                  3
                                        Conversion factors: 1   1 ft   0.3048 m; 1 gpm   3.785 L/min   0.0000631 m /s   0.0631 L/s.




                     EXAMPLE 8.9   PUMPS AND WATER STORAGE TANKS

                                         The water supply system shown in Example 8.8 provides water to a city at the rates of 2.0 MGD
                                         (88 L/s) for average daily water demand, 3.4 MGD (150 L/s) for maximum daily water demand,
                                         and 4.8 MGD (210 L/s) for peak hourly water demand. The total head losses are 40 ft (12.2 m) at a
                                         flow of 1,600 gpm (101 L/s).
                                             What are the head losses of the transmission line between the raw water reservoir and the ele-
                                         vated water storage tank (including all miscellaneous head losses), which must be overcome by the
                                         pumps at 2, 3.4, and 4.8 MGD (88, 150, and 210 L/s; or 7.6, 12.9, and 18.2 MLD)? Explain which
                                         water demand is used for the design of a pumping station between the raw water reservoir and the
                                         water storage tank, and why. Is the size of the existing water storage tank sufficient for the city in
                                         accordance with the current Ten-States Standards for Water Works?
                                             The following equation shows the relationship between the head loss and the water flow:
                                                                      H 2   H 1 (Q 2 >Q 1 ) 2
                                         where
                                                                        3
                                               Q 1   the first water flow, gpm (m /s)
                                                                          3
                                               Q 2   the second water flow, gpm (m /s)
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