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Cake Filtration                                                                                  453



                                                               Sensitivity analysis: Changing the magnitude of one inde-
                                                                      pendent variable in a mathematical model yields an
                                                                      associated change in the dependent variable. To
                                                                      examine the incremental change of a dependent vari-
                                                                      able caused by a given incremental change to a
                                                                      selected independent variable is a sensitivity analy-
                                                                      sis. The sensitivity analysis may be repeated for
                                                                      as many of the independent variables that are of
                                                                      interest.
                                                               Septum: A screen or porous material used to support the filter
                                                                      media.
                                                               Straining: Retention of particles by a screen or porous media
               Acc.V  Magn Det         50 μm
               15.0 kV  600x  BSE                                     in which the pore openings are smaller than the
                                                                      particles to be removed. A variation of this mechan-
            FIGURE 14.G.1  SEM micrograph of perlite filter aid illustrating its  ism, that is, physical retention, is what some call
            unique morphology; the product was manufactured by Harborlite=  being ‘‘embedded.’’ In diatomite filtration, within
            World Minerals Inc. (Photo courtesy of Walter Pavlakovich, World  the body feed, the particles-to-be-removed, if they
            Minerals Inc.=Imerys Corp., Lompoc, CA.)                  are larger than the adjacent pores within the porous
                                                                      media, are ‘‘embedded’’ by the particles around.
                                                               Voids: The pore space in a filter medium.



            TABLE 14.G.2                                       REFERENCES
            Perlite Filter Aid
                                                               Baumann, E. R., Diatomite filters for municipal installations, Journal
                                      Particle d(50)  Permeability  of the American Water Works Association, 49(2):174–186,
            Grade            Color       (mm)        (Darcy’s)      February 1957.
                                                               Baumann, E. R., Diatomite filters for asbestiform fiber removal from
            Harborlitet 500  White       32.5          0.5
                                                                    water, American Water Works Association Conference Pro-
            Harborlitet 600  White       33.2          0.8          ceedings, Denver, CO, Paper No. 10-2c, 1975.
            Harborlitet 635  White       33.4          1.2     Baumann, E. R., Pre-coat filtration, in R. L. Sanks (Ed.), Water
            Harborlitet 700  White       35.6          1.3          Treatment Plant Design, pp. 313–371, Ann Arbor Science
            Harborlitet 800  White       36.5          1.7          Publishers, Ann Arbor, MI, 1979.
            Harborlitet 900  White       37.4          1.9     Baumann, E. R. and Oulman, C. S., Polyelectrolyte coatings for filter
            Harborlitet 1500  White      40.3          2.3          media, 1070 Society Gold Medal Award Paper, Proceedings of
                                                                    the Filtration Society, Filtration and Separation, Elliccot, MD,
            Harborlitet 1800  White      41.8          2.8
                                                                    7(6):682–690, November=December 1970.
            Harborlitet 1900S  White     42.5          3.5
                                                               Baumann, E. R., Cleasby, J. L., and LaFrenz, R. L., A theory of
            Harborlitet 2000  White      43.1          7.0
                                                                    diatomite filtration, Journal of the American Water Works,
                                                                    70(9):1109–1119, September 1962.
            Source: Courtesy of Walter Pavlakovich, Celite Corp= World Minerals Inc.
                                                               Baumann, E. R. et al., Diatomite filters for municipal use, task group
                  (a division of Imerys Corp.), Lompoc, CA.
                                                                    report, Journal of the American Water Works Association,
                                                                    57(2):157–180, 1965.
                                                               Bell, G. R., Design criteria for diatomite filters, Journal of the
                                                                    American Water Works Association, 54(10):1241–1256,
                                                                    October 1962.
                   filtration applications. Figure 14.G.1 is a SEM photo-  Black, H. H. and Spaulding, C. H., Diatomite water filtration devel-
                   micrograph illustrating the morphology and size of  oped for field troops, Journal of the American Water Works
                   perlite as a manufactured product. Table 14.G.2 lists  Association, 36(11):1208–1221, November 1944.
                                                               Bryant, E. A. and Brailey, D., Large-scale ozone-DE filtration: An
                   size and permeability data for different commercial
                                                                    industry first, Journal of the American Water Works Associ-
                   grades of perlite.
                                                                    ation, 88(11):604–611, November 1980.
            Permeability: The property of the filter medium that permits  Celite=World Minerals Brochure FA-84A, World Minerals, Inc.,
                   a fluid to pass through under the influence of differ-  www.worldminerals.com, Celite Corp., Lompoc, CA, May 2010.
                   ential pressure. The ability of a material to permit a  Coogan, G. J., Diatomite filtration for removal of iron and manga-
                   substance to pass through it.                    nese, Journal of the American Water Works Association,
            Porosity: Ratio of volume of voids to total volume of media  54(12):1507–1517, December 1962.
                                                               Cummins, A. B., Clarifying efficiency of diatomaceous filter aids,
                   plus voids.
                                                                    Industrial and Engineering Chemistry, 34(4):403–411, April
            Pre-coat: Initial deposit of media formed by circulation of a  1942.
                   given mass of charge through the septum area of a tank.  Cummins, A. B., Terra Diatomacea, Johns-Manville Corp., Denver,
            Pre-coat filtration: Same as cake filtration.             CO, 1975 (date estimated).
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