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                                 200                    CHEMICAL ENGINEERING
                                 180                                                      Streams 1
                                 160                 Stream 1                             CP = 3.0
                               Temperature, °C  120  Stream 2                     Streams 1 + 2
                                 140
                                 100
                                                                                  CP = 3.0 + 1.0 = 4.0
                                  80
                                  60
                                  40                                    Stream 2 CP = 1.0 kW/°C
                                  20
                                   0
                                     0   100  200  300  400  500  600 0  100  200  300  400  500  600
                                               Enthalpy, kW                 Enthalpy, kW
                                                  (a)                           (b)
                              Figure 3.21.  Hot stream temperature v. enthalpy (a) Separate hot streams (b) Composite hot streams


                                                                             Hot utility
                                                                              50 kW
                                              200
                                              180
                                              160               Hot streams
                                              140
                                            Temperature, °C   120  Pinch  Cold streams ∆T   = 10°C

                                              100
                                               80
                                               60                             min
                                               40
                                               20     30 kW
                                                         Cold utility
                                                0
                                                 0    100   200  300   400   500  600
                                                              Enthalpy, kW
                                               Figure 3.22.  Hot and cold stream composite curves


                             As for the two-stream problem, the displacement of the curves at the top and bottom
                           of the diagram gives the hot and cold utility requirements. These will be the minimum
                           values needed to satisfy the target temperatures. This is valuable information. It gives the
                           designer target values for the utilities to aim for when designing the exchanger network.
                           Any design can be compared with the minimum utility requirements to check if further
                           improvement is possible.
                             In most exchanger networks the minimum temperature difference will occur at only
                           one point. This is termed the pinch. In the problem being considered, the pinch occurs at
                                     Ž
                                                                  Ž
                           between 90 C on the hot stream curve and 80 C on the cold stream curve.
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