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220   Cha p te r  T e n


                                     140°C   164°C 125°C   170°C   300°C

                                       H                          H
                      CP [kW/°C]
                                 337°C    190°C                            40°C
                          100   H1                                     C
                                 220°C                                    160°C
                          160  H2

                                 220°C                                     60°C
                           50  H3                                      C

                                 160°C                                     45°C
                          190  H4                                      C


                                        100°C   35°C  80°C  60°C   140°C
                                       C1      C2    C3    C4     C5

                            CP [kW/°C]   100   70   175    60    200
                     FIGURE 10.1  Existing Heat Exchanger Network (Problem 1).



                            temperatures that will vary with shifting amounts of heat
                            X [kW] through the path in order to increase the heat
                            recovery. (2) Shift the maximum amount of load through the
                            path while accounting for the minimum allowed temperature
                            difference. Write down the maximum shifted load, the
                            pinching exchanger, and the stream temperatures for the
                            exchanger. Using the Pinch method yields the Maximum
                            Energy Recovery (MER) targets listed in Table 10.1 and the
                            Grand Composite Curve (GCC) shown in Figure 10.2.
                         (c)  Identification of the scope for improvement.  (1) Calculate the
                            scope for improvement in heat recovery in terms of the
                            network’s total heating requirement. (2) Find the heat
                            exchangers, implementing cross-Pinch heat transfer, and
                            write them down.

                       Problem 1: Solutions
                       Answer to (a)(1) and (a)(2).  The HEN is represented as a grid diagram in
                       Figure 10.3, which also shows the missing HEN parameters (i.e., temperatures
                       and loads).
                       Answer to (b)(1). A path between a cold and a hot utility is called a utility path.
                       Heat duty can be shifted along a utility path, which provides a degree of freedom
                       in the HEN retrofit. Figure 10.4 shows a utility path connecting a heater and a
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