Page 362 - Analysis, Synthesis and Design of Chemical Processes, Third Edition
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For the moment, ignore this and return to the heuristic analysis:
                          ΔT  = [(105 – 40) – (38 – 30)]/ln[(105 – 40)/(38 – 30)] = 27.2°C
                             lm
                          Q = 1085 MJ/h = 301 kW (from Table 1.7)

                          A = Q/UΔT F = (301,000)/(850)/(27.2)/(0.90) = 14.46 m             2
                                       lm
                          From Rule 9, Table 11.11, this heat exchanger should be a double-pipe or multiple-pipe design.
                          Comparing our analysis with the information in Table 1.7 we get
                          Heuristic: Double-pipe design, Area = 14.5 m        2

                          Table 1.7: Multiple-pipe design, Area = 12 m        2


                    Again, the heuristic analysis is close to the actual design. The fact that the minimum approach temperature
                    of 10°C has been violated should not cause too much concern, because the actual minimum approach is
                    only 8°C and the heat exchanger is quite small, suggesting that a little extra area (due to a smaller overall
                    temperature driving force) is not very costly.
                          c.  P-101
                          From Table 11.9, we use the following heuristics:
                                                                    3
                          Rule 1: Power(kW) = (1.67)[Flow(m /min)]ΔP(bar)/ε
                          Rules 4–7: Type of pump based on head
                          From Figure 1.5 and Tables 1.5 and 1.7, we have
                          Flowrate (Stream 2) = 13,300 kg/h

                          Density of fluid = 870 kg/m    3
                          ΔP = 25.8 – 1.2 = 24.6 bar = 288 m of liquid (head = ΔP/ρg)
                                                                                       3
                          Volumetric flowrate = (13,300)/(60)/(870) = 0.255 m /min
                          Fluid pumping power = (1.67)(0.255)(24.6) = 10.5 kW


                    From Rules 4–7, pump choices are multistage centrifugal, rotary, and reciprocating. Choose reciprocating
                    to be consistent with Table 1.7. Typical ε = 0.75.
                          Power (shaft power) = 10.5/0.75 = 14.0 kW → compares with 14.2 kW from Table 1.7.
                          d.  C-101
                          From Table 11.10, we use the following heuristics:
                                                                   a
                          Rule 2: W  rev adiab  = mz RT [(P /P )  – 1]/a
                                                             2
                                                        1
                                                    1
                                                                 1
                          From Table 1.7, we have flow = 6770 kg/h, T  = 38°C = 311 K, mw = 8.45, P  = 23.9 bar, P  = 25.5
                                                                              1                                   1                2
                          k = 1.41 (assume) and a = 0.2908
                          m = (6770)/(3600)/(8.45) = 0.223 kmol/s
                          W           = (223)(1.0)(8.314)(311){ (25.5/23.9)        0.2908  – 1)/0.2908 = 37.7 kW using a compressor
                            rev  adiab
                          efficiency of 75%
                          W        = (37.7)/(0.75) = 50.3 kW → This checks with the shaft power requirement given in Table
                            actual
                          1.7.
                          e.  T-101
                          From Table 11.13, we use the following heuristics:
                          Rule 5: Optimum reflux in the range of 1.2–1.5 R       min
                          Rule 6: Optimum number of stages approximately 2N           min
                          Rule 7: N      = ln{ [x/(1 – x)]     /[x/(1 – x)]    }/ln α
                                     min                   oυhd             bot
                          Rule 8: R  min  = {F/D}/(α – 1)
                          Rule 9: Use a safety factor of 10% on number of trays.

                          Rule 14: L  max  = 53 m and L/D < 30
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