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56   Cha p te r  F o u r


                             T
                                                      Q H,min  Q UC,above  XP





                                        Q UH,below  XP


                                                   PINCH





                             XP  Q UH,below  Q C,min      Q UC,above  ΔH

                     FIGURE 4.12  More in, more out.



                     violated. This could also happen if the external utilities are placed
                     incorrectly. For example, any utility heating below the Pinch will
                     create a need for additional utility cooling in that part of the system
                     (Figure 4.12). Conversely, any utility cooling above the Pinch will
                     create a need for additional utility heating. The implications of the
                     Pinch for heat recovery problems can be distilled into the following
                     three conditions, which must hold if the minimum energy targets for
                     a process are to be achieved.
                         1.  Heat must not be transferred across the Pinch.
                         2.  There must be no external cooling above the Pinch.
                         3.  There must be no external heating below the Pinch.
                     Violating any of these rules will lead to an increase in energy utility
                     demands. The rules are applied explicitly in the context of HEN
                     synthesis by the Pinch Design Method (Linnhoff and Hindmarsh,
                     1983) and also before a HEN retrofit analysis to identify causes of
                     excessive utility demands by a process. Other HEN synthesis
                     methods—if they achieve the minimum utility demands—also
                     conform to the Pinch rules (though sometimes only implicitly).

                     4.3.3  Numerical Targeting: The Problem Table Algorithm
                     The Composite Curves are a useful tool for visualizing heat recovery
                     targets. However, they can be time-consuming to draw for problems
                     that involve many process streams. In addition, targeting that relies
                     solely on such graphical techniques cannot be very precise. The
                     process of identifying numerical targets is therefore usually based
                     on an algorithm known as the Problem Table Algorithm (PTA). Some
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