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86   Cha p te r  F o u r


                                                CP
                       PINCH                  [kW/°C]  T
                                                             CP HOT  > CP COLD
                         150°C         250°C
                                             2  15
                                                            PINCH           4
                         150°C    200°C
                                        4       25
                               HEAT
                               EXCHANGER                  ΔT min
                               MATCH                         1
                        140°C   180°C
                      1                         20
                                                                            ΔH
                                                         Temperature difference smaller
                        140°C         230°C
                      3                         30       than ΔT min
                                                         INFEASIBLE!
                     FIGURE 4.51  An infeasible heat exchanger match above the Pinch.



                       PINCH                       CP
                                                 [kW/ºC]
                                                           T
                          150ºC          250ºC
                                               2   15
                                                               PINCH
                                                                            4
                          150ºC     200ºC
                                          4        25
                                 HEAT
                                 EXCHANGER                     3
                                 MATCH
                         140ºC    180ºC                   ΔT min             ΔH
                      1                            20         The match is feasible
                         140ºC          230ºC
                      3                            30

                     FIGURE 4.52  A feasible heat exchanger match above the Pinch.



                     temperature profiles in the direction away from the Pinch. Thus, the
                     rule above the Pinch may be expressed as follows:

                                         CP hot stream  d  CP cold stream  (4.9)

                        The logic below the Pinch is symmetric. This part of the design is
                     a net heat source, which means that the heating requirements of the
                     cold streams have to be satisfied by matching up with hot streams.
                     The same type of reasoning as before yields the following requirement:
                     the CP value of a cold stream must not be greater than the CP value
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