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92   Cha p te r  F o u r


                     single match, as illustrated in Figure 4.61. This satisfies both hot
                     stream 2 and the corresponding cold branch of stream 3, thereby
                     eliminating the second cooler.
                        The complete algorithm for splitting streams above the Pinch is
                     given in Figure 4.62. The procedure for splitting below the Pinch is
                     symmetrical, with the cold and hot streams switching their roles.
                     Network Evolution
                     Any HEN obtained using the design guidelines described previously
                     is optimal with respect to its energy requirements, but it is usually
                     away from the total cost optimum. Observing the Pinch division


                                                               PINCH
                                                                        CP
                                            = 100 − 285/5
                                          T 1                          [kW/°C]
                                   30°C      T = 43°C     100°C
                                              1
                                          C1         1           1      5

                         Step 1: Q 2  = 4 (100 − 40) = 240 kW
                                        40°C  1           100°C
                                                        2        2      4
                        Step 3: Q  = 3.8 × (90 − 15) = 285 kW
                              1
                              15°C                       90°C
                          3                          Q 1                 3.8
                                                  2
                                                       Q 2               3.2
                                             Step 2: CP  = 240(90 − 15) = 3.2
                                                     C2
                     FIGURE 4.61  Splitting and advanced tick-off.




                                                       Stream Data
                                                         at Pinch

                                  Yes              Yes
                                       CP ≤ CP C         N ≤ CP C
                                         H
                                                          H
                                          ?                 ?
                              Place                           No
                             Matches        No
                                                        Split Cold
                                                         Stream
                                                         Split Hot
                                                         Stream

                     FIGURE 4.62  Splitting procedure above the Pinch.
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