Page 117 - Water and wastewater engineering
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3-14   WATER AND WASTEWATER ENGINEERING


                              Example 3-3.   Determine the diameter of a concrete conduit to transport the water from the
                            intake tower described Example 3-1 to a low-lift pump station on shore. From  Table 3-3 , the
                            maximum flow rate is assumed to be 2.0( Q ), that is, twice the winter design flow rate. A sketch
                            of the minimum lake elevation and the maximum allowable drawdown in the low-lift pump sta-
                            tion is shown below.

                                                           Energy grade line
                                   Intake town
                                               Minimum lake elevation

                                                                                 Maximum drawdown
                                                  0.3 m / 100 m


                                                                              Low-lift pump station


                                                                                    3
                                 Solution.   From Example 3-1, the winter design flow rate is 6,000 m  /d. The maximum flow rate is
                                                                                  3
                                                                     3
                                                   2 0()    2 6 000 m /d )   12 000 m /d .
                                                                            ,
                                                             (
                                                              ,
                                                       Q
                                                     .

                             Solving Equation 3-2 for  D:
                                                                              .
                                                            ⎡       Q       ⎤ 0 380
                                                        D   ⎢            0 54 ⎥
                                                                          .
                                                                      (
                                                               .
                                                                      )
                                                              ⎣  (0 278 )( CS)  ⎦
                             Convert  Q  to appropriate units:
                                                                   3
                                                           12 000 m /d          3
                                                             ,
                                                       Q                0139 m /s
                                                                          .
                                                              ,
                                                            86 400 s/d
                             Because of the very long life expectancy for the conduit, from Appendix C, select a very conser-
                            vative  C      80 for concrete pipe. The slope in appropriate units is 0.3 m/100 m     0.003 m/m).
                                                          ⎡     0139 m /s     ⎤ 0 3 . 880
                                                                       3
                                                                 .
                                                      D   ⎢                0 54 ⎥
                                                                            .
                                                          ⎣ ( 0 278 80 0 003)  ⎦
                                                                       .
                                                                 )( )(
                                                             .
                                                                       .
                                                          ⎡ 0139 m /s ⎤ 0 380
                                                                  3
                                                            .
                                                      D   ⎢          ⎥
                                                               .
                                                          ⎣   0 966  ⎦
                                                           .
                                                                    5
                                                               0 479 or  0.5 m or  500 mm
                              Protection.   When a pipeline is used, the pipe is laid in a trench at the bottom of the lake, reser-

                            voir, or river. The soil cover for the pipe is about 1 m over the top of the pipe with an additional
                            protective layer of crushed rock (Foellmi, 2005). Richardson (1969) suggests a rule of thumb is to
                                                                     3
                                    3
                            use 2.5 m   of rock per linear meter of pipe (2.5 m  /m).
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