Page 592 - Fundamentals of Water Treatment Unit Processes : Physical, Chemical, and Biological
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Membrane Processes                                                                               547


                                                                              Particles
               Feed
                                                        Conc.
                                                               Feed flow                               Concentrate
                                                                   Q                                     Q
              (a)              Permeate                              F                                    C

                                             Concentrate                                  Permeate
                                                                     Membrane        Q P
              Permeate                                         FIGURE 17.10 Cross-flow membrane schematic showing equilib-
                                                               rium between particle deposit and shear.


             (b)                Feed
                                                               constitute ‘‘fouling’’ that causes the permeate flux density to
                                                               decline with time.
            FIGURE 17.9  Schematics of capillary=hollow-fiber membrane
            modules. (Adapted from Mulder, M., Basic Principles of Membrane
            Technology, Kluwer Academic Publishers, Dordrecht, the Nether-  17.1.7.4.2  Through-Flow (Dead End)
            lands, p. 113, 1991.)                              In through-flow filtration, the entire raw water flow is filtered
                                                               by the media. With respect to particles, the filter is ‘‘dead
                                                               end’’; those that are retained build up on the surface, causing
            feed,’’ as illustrated in Figure 17.9a and b, respectively.  increasing headloss with time. Solids in the water may either
            Also,asillustrated,a ‘‘bundle’’ of fibers may comprise an  remain on the surface, collect in the pores of the filtering
            ‘‘element’’ and is fittedinapressurevessel, whichisa  media, or pass-through into the filtrate, depending on the
            ‘‘module’’ (as defined here). A ‘‘bundle’’ of fibers in six  solids and the type of membrane (e.g., MF, UF, NF, and
            MF or UF plants varied in number from 6,000 to 20,000  RO). At some point in the operation, the filtering media
            (Hugaboom et al., 2003). The hollow-fiber membranes have  must be purged of solids. For shell-feed hollow-fiber mem-
            the highest area=unit volume ratio of any of the kinds of  branes, the solids are purged by a backflow of permeate
                                                  2
                                                     3
            membrane packaging, for example,  30,000 m =m (Baker,  through the pressure vessel. For bore-feed hollow-fiber mem-
            2000, p. 472). Most modules are in pressure vessels but  branes, an ‘‘air-bump,’’ that is, a pulse of compressed air is
            some, for example, Zenon Seaweedt hollow-fiber mem-  used to purge solids. For the clean-in-place protocol, there
            branes are placed in open basins to provide both biological  may be a backflow of cleaning solution under pressure gradi-
            treatment (by a biofilm on the individual hollow fibers) and  ent through the membrane.
            solids separation and are free of a pressure vessel. In the
            latter case, the membranes are usually operated in a
                                                               17.1.7.5  Ratings
            ‘‘vacuum’’ mode (since the pressure in the bore is negative
                                                               Membranes have a pore-size distribution, as illustrated
            with respect to the atmosphere).
                                                               in Figure 17.11. For the case of microporous membranes,
                                                               the distribution curve is the widest for the anisotropic
            17.1.7.4  Flow within Membrane Element
                                                               membrane   and  narrowest  for  isotropic  membranes.
            The feed flow for a spiral-flow membrane element is ‘‘cross-  Microporous membranes (for MF=UF) are manufactured to
            flow’’ as discussed in Section 17.1.7.2, and for a hollow fiber
            is ‘‘dead end.’’ The ‘‘bore-feed’’ hollow fiber has used a
            periodic ‘‘air-bump’’ to effect cleaning. The ‘‘shell-feed’’ hol-
            low fiber uses a periodic flow of permeate water to flush
            accumulated solids.


            17.1.7.4.1  Cross-Flow                                                            Nominal cutoff
            Continuous flow across the surface of a permeable membrane  Number of pores
            surface is called ‘‘cross-flow’’ filtration, illustrated in Figure                               Absolute cutoff
            17.10. The feed-flow velocity vector is parallel to the mem-
            brane surface (and the axis of the membrane element), and the
            permeate velocity vector is normal to the surface. Figure
            17.10 shows hypothetical particles, some passing across the             Pore size
            membrane surface and some retained on the surface, for
            example, by adsorption. At equilibrium, the particle concen-  FIGURE 17.11 Hypothetical membrane pore-size distribution
            tration that adheres to the surface is constant, that is,  illustrating ‘‘nominal’’ and ‘‘absolute’’ cutoff ratings (Mulder, 1991,
            the rate of deposit equals the rate of shear. Such deposits  p. 113).
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