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134   Cha p te r  S i x


                     well as a systematic procedure for identifying optimum process
                     modification strategies. The problem of designing a property-based
                     material reuse network is formulated as follows (see Figure 6.10):
                        A process is described as having a number N  of process sinks
                                                               SK
                     (units) and a number  N  of process sources (e.g., process and/or
                                          SR
                     waste streams) that can be considered for possible reuse and/or to
                     replace the use of fresh material. The aim is to design a network of
                     interconnections among the property sinks and sources such that the
                     overall flow rates of fresh resource and waste discharge are
                     minimized without depriving the sinks of adequate quality resources.
                     Each sink j requires a feed with flow rate F as well as an inlet property
                                                        j
                      in
                     p  that satisfies the following constraints:
                      j
                                   p  min  d  p d  in  p max  for j    1,2,! ,N  (6.3)
                                    j    j    j               SK
                     where p  min  and p  max   are the specified lower and upper bounds on
                            j       j
                     admissible properties of streams to unit j. Likewise, each source i has
                     a given flow rate F and a given property p . Also available for service
                                    i                   i
                     is a fresh (external) resource, with property p , that can be purchased
                                                           F
                     to supplement the use of process sources in sinks. Each process
                     source may be intercepted via design and/or operating changes in
                     order to modify the flow rate and property of what each sink accepts
                     and discharges.
                        The Pinch diagram shown in Figure 6.11 is a convenient tool,
                     developed by Kazantzi and El-Halwagi (2005), that avoids the
                     drawbacks of traditional iterative procedures (Alves and Towler,
                     2002; Hallale, 2002): low visualization insight for targeting and

                                                                     Processed
                                                                      sources
                                                                  (back to process)
                     Sources   Segregated
                                 sources                        Sinks
                       j=1                                       i=1

                                                                 i=2
                       j=2
                                              Property
                                             Interception
                                               Network

                       j=N SR
                                                                i=N SK

                     FIGURE 6.10  Graphical formulation of designing a property-based material
                     reuse network (after Foo et al., 2006).
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