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66   Cha p te r  F o u r


                        As plotted in the figure, the nonisothermal utility’s termination
                     point corresponds to the ambient temperature. The distance from
                     this point to the zero of the ΔH axis represents the thermal losses
                     from using the utility. The heat capacity flow rate of the nonisothermal
                     utility target is determined by making the utility line as steep as
                     possible, thereby minimizing its CP and the corresponding losses
                     (Figure 4.21). Its supply temperature is usually fixed at the maximum
                     allowed by the furnace and the heat carrier composition; the
                     remaining degree of freedom corresponds to the utility’s exact CP.
                     Smaller CP values result in steeper slopes and smaller losses.
                     The  placement for a nonisothermal utility (e.g., hot oil) may be
                     constrained by two problem features: the process Pinch point and a
                     “kink” in the GCC at the top end of a heat recovery pocket; see
                     Figure 4.22 for an example.
                        When fuel is burned in a furnace or a boiler, the resulting flue
                     gas becomes available to heat up the corresponding cold-stream
                     medium (for steam generation or direct process duty). Transferring
                     heat to the process causes the flue gas temperature to drop as it moves
                     from the furnace to the stack. The stack temperature has to be above
                     a specified value: the  minimum allowed stack  temperature, which is
                     determined by limitations due to corrosion. If flue gas is used directly
                     for heating, then the Pinch point, if it is higher, may become more
                     limiting than the minimum allowed stack temperature. If the
                     analyzed process features both high-temperature and moderate-
                     temperature utility heating demands, then flue gas heating may not
                     be appropriate for satisfying all those demands. If steam is cheaper,



                     (a)                  ΔT min = 20  (b)  T *
                           T *                    290
                          290                             Minimizing
                                  Tsupply = 300
                                                            the CP
                              Minimizing
                               the CP
                                                                  The Pinch does not
                                                                  need to be limiting
                                CPmin                       CPmin

                     T Return, min          T Return, min = 150
                       =130
                                         Pinch                   Pinch
                         120                       120
                                               ΔH                           ΔH
                              Process Pinch limitation  Heat recovery pocket limitation

                     FIGURE 4.22  Constraints for placing hot oil utilities, ΔT  = 20 °C.
                                                             min
   84   85   86   87   88   89   90   91   92   93   94