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Cake Filtration                                                                                  433


                    2
                                     2
            0.73 kg=m septum (0.15 lb=ft ), body feed 50 mg=L, and  Insufficient body feed causes an exponential increase in the
                                  2
            HLR 2.44 m=h (1.0 gpm=ft ).                        rate of headloss increase. If the body feed is sufficient, then
                                                               enough unblocked pores are provided such that the rate of
                                                               headloss is proportional to the thickness of the cake, that is,
            14.2.2 REMOVAL MECHANISMS
                                                               the rate of headloss increase is linear. The particles to be
            Straining is the primary removal mechanism in diatomite  removed are embedded within the cake and, as noted, are
            filtration; the definition of ‘‘straining’’ is expanded (see Gloss-  prevented from movement unless the particles to be removed
            ary), however, to include a particle being ‘‘embedded’’ within  are smaller than the smallest fraction of pore sizes. Viruses
            the media. If alum or a polymer are added to coat the media,  (10–400 nm), for example, are small enough to move within
            then the particles to be removed may also attach to the media,  the C-545 cake, but not Giardia cysts (10 mm). Also, bacteria
            that is, ‘‘adsorb.’’                               (1 mm) are small enough to move within the pore structure of
                                                               C-545, but not within the pores of the smallest grades of DE,
            14.2.2.1  Straining and Embedding                  for example, Filter-Cele, which has an average pore size of
            Figure 14.9 is a scanning electron photomicrograph (SEM) at  about 1.5 mm (Logsdon and Lippy, 1982, p. 655).
            2000  showing Giardia cysts embedded in C-545t as depos-
            ited on a septum (obtained by Harris Walton, 1988, then at  14.2.2.3  Adsorption
            Manville Corp., Denver, Colorado). The cysts are distin-  The zeta potentials of the DE particles were measured
            guished from the media by their oblong form. The cysts are  in distilled water as  47   z   24 mV (Oulman and
            embedded in the media not able to progress further. To be  Baumann, 1964, p. 920). Adding a trivalent ion, that is,
            more specific, the hydraulic shear force on any given cyst  Al 3þ  or Fe , will cause a coating on the DE particle
                                                                         3þ
            would be resisted by an equal and opposite force of the  surface, with consequent charge reversal, that is, a positive
            diatomite particles on the cyst. If, however, the hydraulic  zeta potential in the range of þ22   z  þ30 mV using
            shear forces cause movement of the cyst, progress will be  about 0.05 g Al =g DE (similar data were obtained by
                                                                             3þ
            limited since some fraction of the pores will be smaller than  Schuler and Ghosh, 1990, p. 68). A cationic polymer coat-
            the cysts. Embedding might be considered as a subset of  ing will result in z  þ40 mV. The coating may be by
            straining, that is, the particles strained are larger than the  mixing the alum or polymer with the pre-coat and the
            openings.                                          body feed prior to application. A zeta potential, z  þ60 mV,
                                                               was achieved with C(Purifloce601)   0.001 g Purifloce601=g
            14.2.2.2  The Role of Body Feed                    C-545, which enabled the adsorption of clay particles in
            The idea of body feed is to prevent the particles to be removed  accordance with a Langmuir isotherm relation (Baumann
            from accumulating within the pores and causing blockage.  and Oulman, 1970b, p. 689). In other words, the DE media,
                                                               having negative charge, is likely to repel negatively charged
                                                               particles. By charge neutralizing the media, however,
                                                               negatively charged particles, for example. Giardia cysts,
                                                               may be attracted.

                                                               14.2.2.4  Comparisons between Filtration Processes
                                                               At this point it is useful to review the three main filtration
                                                               processes and their respective filtration mechanisms:
                                                               (1) depth filtration works by the particles to be removed
                                                               penetrating the filter media and ‘‘attaching’’ to the grains of
                                                               media; (2) slow sand filtration works by the straining of the
                                                               particles to be removed by previously deposited matter that
                                                               has been retained on the surface of the media bed and by
                                                               depth filtration for those particles that penetrate the media
                                                               bedattaching tobiofilms on sand grains; and (3) cake
                                                               filtration works by straining=embedment within the media
                                                               cake, that is, the particles to be removed are enmeshed
                                                               within the matrix of media grains and blocked from move-
                                                               ment by those grains.
                                                 5 μm
                                                               14.2.3 HYDRAULICS
            FIGURE 14.9  C-545 diatomite with Giardia cysts interspersed.
            (From Walton, H.G., Diatomite filtration: Why it removes Giardia  Flow of water through the filter cake and associated pumps,
            from water, in Wallis, P. M., and Hammond, B. R. (Eds.), Advances  pipes, and tanks that comprise a diatomite filtration system is
            in Giardia Research, University of Calgary Press, Calgary, Alberta,  hydraulic in nature. The sections that follow review the
            Canada, 1988, Figure 8. With permission.)          hydraulic principles relevant to diatomite filtration.
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