Page 129 - Water and wastewater engineering
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3-26   WATER AND WASTEWATER ENGINEERING

                               Solution:
                                a. Calculate  H    stat    for the maximum and minimum drawdown in the wet well.
                                    Using the sketch elevations, the maximum static head is

                                                                                    .
                                                        H stat  190 9 m   172 9 m   18 0 m
                                                                  .
                                                                           .
                                   and the minimum static head is
                                                                                    .
                                                                           .
                                                                  .
                                                         H stat  190 9 m   175 6 m   153 m
                                 b.  Calculate the friction losses using Equation 3-5 for a 400 mm diameter ductile iron pipe
                                   (DIP) at three flow rates.
                                                                                                          3

                                    From Appendix C, select  C     100 for DIP. At the maximum flow rate of 12,000 m  /d
                                            3
                                   or 0.139 m  /s, for the 300 m long pipe the total friction headloss is
                                                                           .
                                                               ⎛  0139 m /s  185 ⎛  300 m ⎞
                                                                       3 ⎞
                                                                  .
                                                       h  10 7 ⎜          ⎟
                                                              .
                                                        fd                    ⎜      4 487 ⎟
                                                               ⎝   100    ⎠    ( ⎝  04 m)  ⎠
                                                                                      .
                                                                                 .
                                                             .
                                                            144 m
                                   Similarly for the average and low flow rates
                                                        h fd   0 399 or  0 4 m at average flow
                                                               .
                                                                      .
                                                               .
                                                                  m
                                                        h fd   011 m at low flow
                                 c.  Compared to the values calculated in (a) and (b), the losses for valves and fittings are
                                                                                             2
                                   negligible and are neglected here. Likewise, the velocity headloss ( v   /2 g ) is very small
                                   and is neglected here.
                                 d.  The plotting points for the system curves for the maximum drawdown are
                                                                                          3
                                                   18 0 m   1 44 m   19 44 m at Q     12 000 m /d
                                                            .
                                                                      .
                                                     .
                                                                                    ,
                                                                                       3
                                                     .
                                                        m
                                                                                 ,
                                                   18 0 m  0 4 .  m  18 4 .  m at Q    6 000  m /d
                                                                                      3
                                                                      .
                                                                                ,
                                                                m
                                                   18 0 .  m  0 11 m  18 11  at Q    3 000  m /d
                                                             .
                                   For the minimum drawdown the plotting points are
                                                                                          3
                                                    153 m +  144 m   1674 m at Q    12 000 m /d
                                                      .
                                                             .
                                                                                    ,
                                                                      .
                                                                                       3
                                                    153 m + 04 .  m    15 7 .  m at Q     6 000  m /d
                                                      .
                                                        m
                                                                                 ,
                                                                                      3
                                                    153 .  m + 011 m  15 4 .  at Q    3 000  m /d
                                                             .
                                                                                ,
                                                                m
                                                                    .
                                   These points are plotted in  Figure 3-16
                              Pump Selection.  Multiple pumps and/or variable speed pumps are selected to cover the range
                            of conditions described by the system head curve. It is important to select a pump that will have
                            its best efficiency within the operating range of the system and preferably at the operating point
                            (head and discharge) where the pump will operate most often.
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