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MEMBRANE FILTRATION 12-9


          Pore sealing with superposition (intermediate  •  Models blockage of the entrance to pores by particles
          blocking filtration law)             retained at the membrane surface.
                      J 0                     •  Extension of the complete blocking filtration law.
          J t
               (1   1.5CJ t/  d )             •  Relaxes the “monolayer” assumption in the complete
                        0
                           P P
                                               blocking filtration law by allowing particles to land on
                                               previously retained particles or on the membrane surface
                                               by evaluating the probability that a particle will block a
                                               pore.
          Cake filtration law                 •   Models the formation of a cake on the surface of a
                                               membrane using the resistance series model.
                      J 0                     •  The retained particles have no impact on the membrane
          J                                    itself, that is, no pore blocking or pore constriction.
           t
               1 (    2  C Jt R/  m ) 0 5 .
                    C
                        0
                specific cake resistance
           c
             Source:  Adapted from MWH, 2005.



            TABLE 12-3
            Characteristics of selected membrane materials

                                                                                  Fouling
                                                             Oxidant       pH     resistance/
          Membrane material     Type     Hydrophobicity      tolerance    range   cleanability

          PVDF                  MF/UF    Modified hydrophilic  Very high  2–11    Excellent
          PP                    MF       Slight hydrophobic  Low         2–13     Acceptable
          Polyethersulfone (PES)  UF     Very hydrophilic    High        2–13     Very good
          Polysulfone (PS)      UF       Modified hydrophilic  Moderate  2–13     Good
          Cellulose acetate (CA)  UF     Naturally hydrophilic  Moderate  5–8     Good
           ( Source:  AWWA, 2005.)



          to polysulfone (PS), polyethersulfone (PES) and polyvinylidene difluoride (PVDF) are also in
          common use (AWWA, 2005).



            Membrane Configuration
           Hollow fiber membranes ( Figure 12-5 ) are the most common configuration for MF and UF fil-
          tration applications (U.S. EPA, 2005). The fibers have an outside diameter ranging from 0.5 to
          2 mm, and a wall thickness ranging from 0.07 to 0.6 mm. Unlike NF and RO membranes, the
          membrane filters operate over a repeating filtration cycle like granular filters. After filtration for
          a set duration, the accumulated solids are removed by backwashing with air and/or water. Once
          clean, the filter is put back into service.
               All of the hollow fiber membranes fall into one of two categories: positive pressure driven
          and negative pressure (vacuum) driven. The positive pressure systems are configured in pressure
          vessels. The vacuum systems are submerged in basins containing the feed water.
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