Page 400 - Civil Engineering Formulas
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HYDRAULICS AND WATERWORKS FORMULAS        327

                                       g  4  5/2
             or                  Q            zH m 5/2          (12.107)
                                     B2   5

             With g   32.16,
                                              5/2
                                    Q   2.295zH m               (12.108)


             Parabolic Channels
             These channels can be conveniently defined in terms of the top width T and the
                                  2
                   c
             depth D . Then the area a     3 D T and the mean depth   D .
                                                        m
                                    c
               Then (Fig. 12.21),
                                          2
                                    V c       3 gD c            (12.109)
                                             2
             and                     D c    3 V c               (12.110)
                                          2 g
                                         8g
             Further,              Q        TD c 3/2            (12.111)
                                       B27
             With g   32.16,
                                              3/2
                                    Q   3.087TD c               (12.112)
                                         3  3 Q 2
             and                    D c                         (12.113)
                                         2 BgT  2

                                      8g   3  3/2
                                                 3/2
             Also,               Q             TH m             (12.114)
                                     B27   4
             With g   32.16,
                                              3/2
                                    Q   2.005TH m               (12.115)
                                         T





                                         D c


                            FIGURE 12.21  Parabolic open channel.
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