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148    Chapter 5 Heat exchanger network analysis




                Area requirement: The area required for each exchanger can be estimated if the numerical values of
             the heat transfer coefficients in the last column of Table P5.1A are available. The procedure for area
             calculation is provided in Chapter 4.
                Solution (B)
                Considering multi-level utilities e HP and MP steam are available at 220 and 170 C, respectively,

             and cooling water is available at 30 C.

                We use the grand composite curve to estimate utility consumption at different levels. As described
             in Section 5.5, the grand composite curve is constructed with ordinate T and abscissa as the DH

             crossing the corresponding T . The values of ordinate and abscissa are obtained in problem table

             cascade (Table P5.1C) and are reproduced in Table P5.1E. The grand composite curve is obtained by
             joining the consecutive points in Table P5.1E by straight lines as shown in Fig. P5.1F. The figure shows
             that the total hot utility requirement is 90 kW, out of which a maximum of 20 kW can be provided by
             MP steam at T ¼ 160 C (corresponding to T ¼ 170 C) and similarly out of the cold utility



             requirement of 255 kW, a maximum of 195 kW can be provided by cooling water at T ¼ 40 C


             (T ¼ 30 C), thus reducing the brine refrigerant requirement to 60 kW).

               Table P5.1E T and DH crossing the corresponding T .



                T ( C)      190       170       140      115       70       40        30

               DH (kW)      90        30        0        75        93       195       255

                              200
                                       90 kW
                                       70 kW   HP Steam
                              180
                                                            Total HU = 90 kW
                                                            Total CU = 255 kW
                                 20 kW
                              160    MP Steam            Hot utility pinch @ T * = 160°C
                                                         Cold utility pinch @ T * = 40°C
                              140  Process pinch
                              120
                            → T *  100


                              80

                              60
                                                                       60 kW
                                              195 kW                  Refrigerated
                              40            Cooling Water               Brine
                                                   255 kW
                              20
                                0       50     100     150     200    250     300
                                                  → ΔH (Heat flow)
             FIGURE P5.1F
                                     Grand composite curve for Problem 5.1B.
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