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10-36   WATER AND WASTEWATER ENGINEERING


                              Example 10-5.  Design the settling tank(s) for the city of Stillwater’s water treatment plant
                                                                                          3
                            expansion using high-rate settlers. The maximum day design flow is 0.5 m  /s. Assume a well set-
                            tling alum floc, a water temperature of 10 	 C, that the angle of the settler tubes is 60 	 , and that the
                            tubes have a hydraulic diameter of 50 mm.
                              Solution:
                                  a.  Find the surface area of the settler.
                                    First change the flow rate to compatible units:

                                                            3                          3
                                                      (0 5 m /s )(86 400 s/d    43 200 m /d
                                                        .
                                                                  ,
                                                                                ,
                                                                          )
                                                               3    2
                                    Using an overflow rate of 150 m   /d 
 m , the surface area is
                                                                         3
                                                                  ,
                                                                43 200 m /d
                                                          A s                  288 m 2
                                                                     3
                                                               150 m /dm   2

                                 b.  Select the number of tanks.
                                    Two tanks is the minimum number. For this flow rate make trial calculations using two tanks.
                                                                   2
                                                             288 m           2
                                                                        144 m /tank
                                                             2 tanks
                                 c.  Select a trial width for calculation.
                                    The maximum width for the chain-and-flight sludge collector is 24 m in 0.3 m incre-
                                   ments. Assume a width of 6 m. This is the maximum width per train.
                                 d.  Check length-to-width ratio.

                                                                        2
                                                                  144  m /tank
                                                         L settler               24  m
                                                                    6  m/tank
                                    Setting the settler at 75% of the length of the basin, the tank length is

                                                                    24 m
                                                               L            32 m
                                                                      .
                                                                    075
                                 e.  Select a trial side water depth (SWD).
                                    Assume a depth of settler of 0.6 m. Provide allowance above the settler for launder of
                                   1.0 m (0.6 m clearance and 0.4 m depth of trough). Provide 2 m for sludge zone.

                                                                   .
                                                         SWD   06      10    2    3 6  m
                                                                                   .
                                                                        .
                                    The depth of the water plus the sludge zone is greater than the minimum design recom-
                                   mendation of 3 m. With the addition of freeboard, the tank depth is 4.2 m.
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