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



            9.9.3.1.2  Dewatering                               TABLE 9.8
            The purpose of a polymer in sludge dewatering is to increase  Functional Groups with Charge
            the solids concentration (as in thickening). The benefits of
            increased solids concentration has to do with the reducing the  Anionic
            costs of transport to a disposal site, for example, land spread-                      H 2 C  CH
            ing. For example, if the use of a polymer results in 24% solids
            instead of 20%, the savings would be to transport 4 kg less                                    O
                                                                 C   O           O   S   O             C
            water per hundred kg of sludge. Sludges that are dewatered
            include those from water treatment (e.g., settling, filter  –              –                  –
                                                                 O                   O                  O
            backwash), anaerobic digestion, and aerobic digestion. Dewa-  a             a                b
            tering methods include centrifuging, belt press processing,  Carboxylate  Sulfonate     Arcylate
            filter press processing, vacuum filtration. Other means of
                                                                Cationic
            dewatering include drying beds, freezing, heating, etc.
                                                                     R
            9.9.4 STRUCTURE OF POLYMERS                               +
                                                                R    N    R
            Several configurations are possible in polymer structure, for
            example, linear, branched, dendritic. Then, to function as a  R
            polyelectrolyte a polymer must have incorporated functional
                                                                Quaternary amine–examples of structures
            groups that may dissociate to leave charged sites. Because of
            their high molecular weights, ranging from tens of thousands  CH  3
            to tens of millions, polymers are considered macromolecules.
              To illustrate the idea of a polyelectrolyte, Figure 9.21a
                                                                C   O
            depicts a linear polymer with attached COOH groups. If the                               C   O
            pH is increased, consuming the H , the residual charges of  O      CH       CH
                                        þ
                                                                                                     NH
            the groups are negative, and the polymer is a polyelectrolyte,
            that is, as in Figure 9.21b. Because the negative charges repel  CH  2  CH 2  CH 2
                                                                                                     CH 2
            one another, the polymer becomes ‘‘stretched.’’
                                                                                    N +
                                                                CH 2                                HN +
            9.9.4.1  Functional Groups
                                                                  +
            Functional groups are a part of the structure of polyelectro-  N (CH )  H 3 C  CH  3  CH 3  CH 3
                                                                     3 3
            lytes; they have charged sites with a mobile counterion. Some               a                a
                                                                DMAEM-MCQ        DADMAC            Mannich
            of the common functional groups are listed in Table 9.8.
            Anionic groups include carboxylate and sulfonate, while the  a  May (1988).
            most common cationic group is quaternary amine (see amines  b
                                                                  Rose (1988).
            in glossary). The structure of an amine is similar to NH 3 but is
            protonated to give NH 4 , but with R groups instead of H
                               þ
            attached to the nitrogen. The ‘‘R’’ groups are any hydrocar-
            bon, for example, the methyl group,  CH 3 . Some of the
            common structures that include quaternary amine are listed
            in the lower row of Table 9.8, for example, DMAEM-MCQ,  Common cationic polymers are DADMAC and DMA. Com-
            DADMAC, and Mannich, respectively.                 mon anionic polymers include sodium polystyrene sulfonate
                                                               and acrylate. The most common nonionic polymers are acry-
            9.9.4.2  Monomers                                  lamide and epichlorohydrin (epi). Such monomers may be
            Some of the monomers that comprise a polymer structure are  synthesized as homopolymer or copolymers, with the myriad
            categorized in Table 9.9 as cationic, anionic, and nonionic.  of possible configurations.




                               COOH                                             COO –
                    HOOC                                                      –
                                       COOH                                COO                    –
                                                      COOH                              –      COO
                                            COOH                                     COO
                              COOH
                                                                         COO –                    COO –
                            COOH             COOH                     –                COO –
                                                                   COO
                    (a)                                      (b)
            FIGURE 9.21  Polymers to illustrate the effect of charge on shape. (a) Polymer without charge. (b) Polymer with charged sites. (Adapted
            from Black, A.P., J. Am. Water Works Assoc., 52(4), 493, April 1960.)
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