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276                            Fundamentals of Water Treatment Unit Processes: Physical, Chemical, and Biological



            To illustrate specific data for a flash mix coagulation installa-  10.4.4.2  Baffles
            tion, Bob Reed, Superintendent Soldier Canyon WTP (which  Another ‘‘passive’’ kind of mixing device is a system of
            serves the Fort Collins, Colorado environs) provided the  baffles placed in the way of the gravity flow in an open
            following information (Reed, February 8, 2002). The design  channel; two kinds are (1) over-and-under, and (2) end-
                         3
            flow is 0.220 m =s (5 mgd); mixing is by a 4 in. 3.73 kW  around. The first use of baffles for a large-scale water treat-
            (5 hp) Water Champe with shaft entering a 1067 mm (42 in.)
                                                               ment plant was at New Orleans in 1909 (Willcomb, 1932,
            raw-water pipeline from the side, i.e., the jet flow is from near  p. 1431). Of some 30 plants built during the 1920s, about one-
            the pipe wall directed toward the center. The unit has an  third used over-and-under baffles and one-third used end-
            external motor with the coagulant feed entering an induction  around (Willcomb, 1932, p. 1431). Their use was common
            feed tube inside the raw-water pipeline. The coagulant was  until supplanted by a trend toward impeller–basin systems
            also fed in front of the propeller, as an experiment, instead of  beginning probably about 1940.
            through the induction tube. The result was higher alum dosage
            for the former feed configuration. The plant also has two jet-  10.4.4.2.1  Over-and-Under
            mixer systems, each with center feed, providing redundancy  An over-and-under baffle system comprises a combination of
            to facilitate maintenance.                         weirs and sluices (most likely, for rapid mix, a single weir or
                                                               sluice unless several chemicals are added, e.g., lime, alum,
            10.4.4 STATIC MIXERS                               polymer in succession). As with the other mixing systems,
                                                               design is based upon hydraulic principles. The water entering
            The term ‘‘static mixer’’ usually means a proprietary pipe insert
                                                               the first compartment rises to a level sufficient to overflow the
            consisting of a number of twisted blades, e.g., Komaxe,or
                                                               first weir plate. The coagulant is added to the overflow, and is
            Kenicse, that cause a sequence of bifurcations. The static
                                                               distributed over the width by means of several orifices from a
            mixer is a ‘‘passive’’ technology, i.e., there is no operator
                                                               manifold parallel to the weir crest. The water falls into the
            involvement. Generically, a static mixer could mean any station-
                                                               pool, below. The depth of the pool below should be as small
            ary ‘‘form’’ that induces wake turbulence (Section 10.3.1.2).
                                                               as feasible, but is determined by the opening of the sluice
                                                               (if used).
            10.4.4.1  General Principles
            Elbows, baffles, and other flow obstructions, create wake  10.4.4.2.2  End-Around Baffle Systems
            turbulence in which headloss for a single unit is
                                                               In an end-around basin, the raw water enters the first chamber
                                                               and flows around successive bends, giving a ‘‘cascade’’ to the
                                         v 2
                              h L ¼ K(unit)            (10:43)  exit (see, for example, Harhoff, 1998); Figure 10.25 shows a
                                         2g                    top view. Alum may be added by an orifice manifold oriented
                                                               parallel to the baffles, positioned just downstream from the
            where                                              first baffle slot and just above the flow. If the baffle system is
              h L is the headloss across unit (m)              designed for disinfection, the same principles apply. The
              K(unit) is the loss coefficient for a single unit (dimension-  power dissipated around a given bend is given by the relation,
                less)                                          P ¼ Q   (rg)   Dh(end). Therefore, as with a weir, the power
              v is the average velocity of flow within unit (m=s)  dissipation for a single ‘‘end-around’’ is proportional to the
                                                    2
              g is the acceleration of gravity (9.806 650 m=s )  water surface drop in elevation, i.e., h(end). The end slot must
                                                               be narrow enough to cause a backup that forces the flow
              The coefficient, K(unit), may be available from published  through ‘‘critical,’’ which also requires a downstream drop
            data or may be determined by head measurements, e.g., by  in the floor elevation. The ‘‘specific discharge’’ diagram (see,
            piezometers, at the entrance and exit of an installation. The  for example, Rouse, 1946, p. 136) is the basis for the calcu-
            total headloss for successive units is the sum of the headloss  lations. A series of channels produces a ‘‘cascade’’ to the final
            for a single unit, i.e., Sh L (n units) ¼ n(units)   h L (unit). Mixing  channel which may be designed as a ‘‘pool’’ to provide the
            is by advection (in changing the direction of the flow) and the  headwater for an outlet pipeline or it could be an open channel
            turbulence associated with each unit (caused by separation  to the next unit process, e.g., flocculation.
            type form drag). For any of the various kinds of static mixers,
            the power dissipation for a single unit is

                  P(unit) ¼ Q(unit)   g(water)   h L (unit)  (10:44)
                                                                                q
            where
              P(unit) is the power dissipated by turbulence across a                                          Q
                                                                            B
                given unit, e.g., an elbow (watts)                              p            w
                                                                     Q
              Q(unit) is the flow of water in across a given static mixer
                      3
                unit (m =s)
                                                   3
              g(water) is the specific weight of water (N=m )   FIGURE 10.25 End-around baffled mixing basin.
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