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Membrane technology  5 5


                     Concentrate In1




                                        I  Hydraulic Stage 1


                                                               Electrical
                          Membrane                             Stage 1











                          (+)Anode                          J






                             Figure2.22  Exampleofstaginginelectrodialysis


          2.4.2 Specific energy demand


           Pressure-driven processes
           The  energy  consumption  of  any  pressure-driven  process  operating
           continuously is given by product of the pressure and flow, thus the total energy
           consumption per unit mass of permeate product, ignoring pumping efficiency, is
           given by:
                   1
               E=-~AP+-  We 1                                             (2.23)
                  P@          M

           where p is the permeate density, Wel the supplementary plant electrical energy
           consumption  (e.g.  for  instrumentation  and  aeration  or  other  turbulence
           promotion methods) and M  the mass flow of permeate. CAP represents the sum
           of  the individual pressure changes, which can include the pressure drop across
           the  membrane  APm, as  given  by  Equation  (2.5), the  concentrate-permeate
           osmotic  pressure  difference  All*.  from  Equation  (2.9), the  hydraulic  losses
           APlosses associated with forcing the retentate through the membrane channels
           and the pressure derived from the various contributions to membrane fouling. In
           the  case  of  reverse  osmosis,  the  total  pressure  for  an individual  membrane
           module is given by:
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