Page 267 - Water and wastewater engineering
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6-44   WATER AND WASTEWATER ENGINEERING


                                                                                Axial impeller diameter
                                   Geometric ratio     Allowable range     0.8 m       1.4 m       2.0 m
                                   D/T                    0.17 – 0.4       0.22         0.39       0.56
                                   H/D                      2– 4           5.0          2.9        2.0
                                   H/T                    0.34 –1.6        1.12         1.12       1.12
                                   B/D                     0.7–1.6         1.7          0.95       0.67

                                   The 1.4 m diameter impeller is satisfactory in all aspects.
                                                                                                    1
                                 k.  The tip speed is checked by first computing the rotational speed at  G      70 s     .
                                                                     /
                                                          ⎡         ⎤ 13
                                                      n   ⎢   P     ⎥
                                                          ⎢ ND )   ⎥
                                                                 5
                                                              (
                                                          ⎣  p  i   ⎦
                                                                                    /
                                                          ⎡         300 W          ⎤ 13
                                                          ⎢                        ⎥
                                                          ⎣ ⎢ ( .  ) .  5    kg/m 3 ) ⎥ ⎦
                                                                (
                                                            031 1 4 m))(1 000,
                                                           056 rpsor  3387 rrpmor 34 rpm
                                                           .
                                                                     .

                                   The tip speed is then

                                                                              .
                                                                      .
                                                                                      .
                                                                                             .
                                            Tip speed   (  )     )    (0 56 )()(1 4  m   2 46 or  2 5 m/s
                                                                                        6
                                                                                  )
                                                        rps  ()(D i
                                   This is less than the design criterion of a maximum tip speed of 2.7 m/s.
                              Comments:
                                  1.  The provision of two flocculation basins meets redundancy requirements.
                                 2.  An additional 0.60 m is added to the water depth as freeboard so the tank depth is 4.6 m.

                              Paddle Flocculator.  The power input to the water by horizontal paddles may be estimated as
                                                                      p
                                                                  CA v p 3
                                                                   D
                                                              P                                         (6-19)
                                                                     2

                            where  P       power imparted, W
                                      C    D         coefficient of drag of paddle
                                                           2
                                      A    p         cross-sectional area, m
                                     v    p         relative velocity of paddles with respect to fluid, m/s
                             The velocity of the paddles may be estimated as
                                                               v p   2  krn                            (6-20)


                            where  k      constant     0.75
                                      r      radius to centerline of paddle, m
                                      n      rotational speed, rps
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