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352   Environmental Applications of Nanomaterials

        should be higher for these species in comparison with larger colloidal
        species, if there is no resistant cake deposited on the membrane.
        However, if a layer of nanoparticles deposits on the membrane, this
        may lead to a decrease in flux due to membrane fouling.
          In pressure-driven processes, fouling may be manifest as either an
        increase in the pressure drop,  P, across the membrane, (called the
        transmembrane pressure or TMP) required to maintain a constant flux
        or, for a constant TMP, by a decrease in the permeate flux. This is illus-
        trated in Figure 9.3 where the specific permeate flux (J/TMP) of a lab-
        oratory membrane system is seen to decline quickly over time due to
        fouling under conditions when the feed contains many foulants. When
        the membrane is taken out of service and washed with water, a portion
        of the fouling is reversed (reversible fouling). However, after multiple
        cycles of operation and washing, the amount of permeate flux that is
        recovered by washing decreases (irreversible fouling). At some point,
        membranes must be cleaned more aggressively with chemicals to at
        least partially reverse the “irreversible” fouling. Fouling is not reserved
        to pressure-driven membrane processes. The deposition of material on
        a membrane may change its functionality and therefore its ability to
        effectively separate compounds. Additional layers of material may
        impede mass transport originating from any driving force.



           7

           6 5   1        2         3              4


          Specific flux, l/m2.h.bar  4 3               Irreversible fouling







           2

              Reversible fouling
           1

           0
             0      200     400     600     800    1000    1200    1400
                                        Time, min
        Figure 9.3 Decline in specific flux over time. Cleaning events reverse some, but not all,
        of the fouling.
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