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                                                                      S h5
                                                           S h3
                                                 S h1
                                                                 S h4
                                                      E2
                                                                            E6
                                                                      E5
                                                                 E4
                                                 E1   S h2 CHEMICAL ENGINEERING S h6  S
                                                           E3
                                                                                   C1
                                                 E6        E7
                                                                        E8
                                            S u1       S u2
                                                         S h1 D residue (360 ° C)
                                                         S h2 D reflux stream (260 ° C)
                                                         S h3 D heavy gas oil (340 ° C)
                                                         S h4 D light gas oil (260 ° C)
                                                         S h5 D reflux steam (180 ° C)
                                                         S h6 D reflux stream (165 ° C)
                                                         S c1 D crude oil (15 ° C)
                                                   S u1 and S u2 D cooling water (50 ° C)
                                                 Figure 3.11.  Typical heat-exchanger network


                           particularly in respect of optimising heat recovery in crude petroleum distillation. An
                           example of crude preheat train is shown in Figure 3.11. The general problem of the
                           synthesis and optimisation of a network of heat exchangers has been defined by Masso
                           and Rudd (1969).
                             Consider that there are M hot streams, S hi  i D 1, 2, 3,... ,M  to be cooled and N cold
                           streams S cj  j D 1, 2, 3,..., N  to be heated; each stream having an inlet temperature t f ,
                           or an outlet temperature t 0 , and a stream heat capacity W i .There mayalsobe S uk  k D
                           1, 2, 3,.. . , L  auxiliary steam heated or water-cooled exchangers.
                             The problem is to create a minimum cost network of exchangers, that will also meet the
                           design specifications on the required outlet temperature t 0 of each stream. If the strictly
                           mathematical approach is taken of setting up all possible arrangements and searching for
                           the optimum, the problem, even for a small number of exchangers, would require an
                           inordinate amount of computer time. Boland and Linnhoff (1979) point out that for a
                           process with four cold and three hot streams, 2.4 ð 10 18  arrangements are possible. Most
                           workers have taken a more pragmatic, “heuristic”, approach to the problem, using “rules
                           of thumb” to generate a limited number of feasible networks, which are then evaluated.
                             Porton and Donaldson (1974) suggest a simple procedure that involves the repeated
                           matching of the hottest stream (highest t f ) against the cold stream with the highest
                           required outlet temperature (highest t 0 ).
                             A general survey of computer and manual methods for optimising exchanger networks
                           is given by Nishida et al. (1977); see also Siirola (1974).
                             The design of heat exchanger networks is covered in more detail is Section 3.17.


                           3.16.3. Waste-heat boilers
                           If the process streams are at a sufficiently high temperature the heat recovered can be
                           used to generate steam.
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