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                    268  Chapter 8  Pumping, Storage, and Dual Water Systems

                                                        Elevation of pressure energy grade line


                                                                                            v d  2 /2g
                                                             Elevation of hydraulic grade line







                                                                                             p /
                                                                                     Pressure  d
                                                                                      gauge
                                                                                        p d
                                                                                                    Outlet through
                                                          Pressure or
                                                         vacuum gauge                              check valve and
                                                             p s                             z d     gate valve
                                                                                                      t  system
                                                                                                      0
                                                                                       Datum
                                            Suction energy                             plane
                                              grade line  z s

                                                       p /
                                                        s
                                                                     Inlet through strainer
                                                                    and foot valve (where
                                                        2
                                                      v /2g          needed) from source
                                                       s
                                            Figure 8.3 Head Relationships in Pumping Systems
                                                                                       2
                                                                                 2
                                            System head II   (z d   z s )   (p d >    p s > )   (v d >2g   v s >2g). For suction lift, p s >  and
                                                            2
                                                                                               2
                                            z s are negative, and v s >2g is positive. For suction pressure, p s >  and v s >2g are positive, and
                                            z s is negative.
                                             Changing the speed of a centrifugal pump will change its operating characteristics
                                         including the water flow. If the speed of a pump (rpm) is changed, its water flow will
                                         change as follows:
                                                                      Q   (Q )(N >N )                         (8.2)
                                                                             1
                                                                                 2
                                                                                   1
                                                                        2
                                         where
                                                                    3
                                              Q 2   water flow now, gpm (m /s)
                                                                     3
                                              Q 1   rated water flow, gpm (m /s)
                                              N 2   pump speed now, rpm
                                              N 1   rated pump speed, rpm.
                                             Changing the speed of a centrifugal pump will also change its head. If the speed of a
                                         pump (rpm) is changed, its head will change as follows:
                                                                      H   (H )(N >N ) 2                       (8.3)
                                                                             1
                                                                                2
                                                                                   1
                                                                       2
                                         where
                                              H 2   head now, ft (m)
                                              H 1   rated head, ft (m)
                                              N 2   pump speed now, rpm
                                              N 1   rated pump speed, rpm.
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