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224   Cha p te r  T e n


                            Exchanger   Hot side violation  Cold side violation
                            E1          No               Yes
                            E2          Yes              Yes
                            E4          No               No
                            E5          Yes              Yes
                            E7          Yes              No


                           TABLE 10.2  Exchangers That Violate the Pinch (Problem 1)


                                  Stream    T  [°C]  T [°C]   CP [kW/°C]
                                             in      out
                             1    Cold        38      205         11
                             2    Cold        66      182         13
                             3    Cold        93      205         13
                             4    Hot        249      121         17
                             5    Hot        305       66         13


                            TABLE 10.3  Process Stream Data for Problem 2

                     10.1.2  Heat Pinch Technology: Second Problem

                     Problem 2: Task Assignment
                     The stream data for a process are as listed in Table 10.3. The hot utility
                     is steam at 200°C, the cold utility is water at 38°C, and ΔT   = 24°C.
                                                                     min
                         (a)  Plot the Composite Curves (CCs) for this process.
                         (b) Determine Q   , Q  , and the Pinch temperatures.
                                       H,min  C,min
                         (c)  Assuming that the cost of cooling water and steam is 18.13
                                         −1
                                            −1
                            and 37.78 $ kW  y , plot the minimum annual cost for the
                            utilities as a function of ΔT   in the range 51–54°C (in 1°
                                                    min
                            increments).
                         (d) Design a network that features a minimum number of units
                            and maximum energy recovery for ΔT   = 24°C.
                                                            min
                       Problem 2: Solutions
                       Answer to (a). The Composite Curves for the process stream data are shown in
                       Figure 10.5.
                       Answer to (b). The position of the CCs in Figure 10.5 indicates that, for
                       ΔT   = 24°C, this is a threshold problem at the cold end: Q   = 0 kW. On the
                         min                                     H,min
                       cold end there is excess of hot streams, which means that some cold utility is
                       required: Q   = 482 kW.
                                C,min
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