Page 175 - Applied Process Design For Chemical And Petrochemical Plants Volume III
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                       138                       Applied Process Design for Chemical and Petrochemical Plants

                           Example 10-12. Steam Heated Feed Preheater—         Note for oil-free steam, it is usually quite safe to assume
                                          Steam in Shell                     the steam film coefficient   1,500. Most calculated values
                                                                             will be considerably greater than this.
                         Design a preheater for heating the feed to a distillation
                                                                                                       2
                       column. The 54,180 lb/hr of feed consists primarily of ethyl  U o   1/0.00559   179 Btu/hr (ft ) (°F)
                       benzene and styrene and is to be heated from 50°F to 207°F.
                       Steam is available at 10 psig.                          Log mean temperature difference:
                         The average physical properties of the feed have been cal-
                       culated over the temperature range, at 128°F:            239.3°F          239.3°F
                                                                                207.0°F           50.0°F
                       Molecular weight: 104                                    32.3°F          189.3°F
                       Specific heat, c p : 0.428 Btu/lb (°F)
                       Viscosity: 0.4765 centipoise                               189.3   32.3  157.0    157
                                                     2
                       Thermal conductivity: 0.0891 Btu/lb (ft ) (°F/ft)       t      189.3     ln 5.8607     1.767    88.85
                       Density: 53.4 lb/ ft 3                                       ln
                                                                                      32.3
                       Heat duty Q   (54,180) (0.428) (207   50)   3,640,000 Btu/hr
                                                                              t correction   1.0, because this is total condensing on one side.
                       Heat Transfer Surface Required
                                                                                              13,640,0002
                                                                             area required                  229 ft 2
                         Try an 18-in. diameter shell unit with 82   1-in. O.D.   12       11792 188.852 11.02
                       BWG steel tubes   12 ft long   6 pass tubes.          Area available     1822 111.752 10.26182     252 ft 2
                                                                                                                1252211002
                       Tube I.D.   0.782                                     Safety factor based on fouling condition:      1.10
                                                                                                                  12292
                       Tubes/pass   (82/6 )   13.67
                                                                                                                            10%
                                                   2
                                             10.7822 10.78542
                       cross-section>pass   13.67c        d   0.0455 ft 2    Tube-Side Pressure Drop
                                                 11442
                                              154,1802                       R e   67,200
                       ft>sec tube velocity                 6.20 ft>sec
                                         153.4213,600210.04552
                            10.7822                                            From Figure 10-137,
                        D           0.06512 ft, tube I.D.
                             1122
                                                                                   f   0.000165
                            154,1802                                                                2
                                                   2
                        G            1,190,000 lb>hr 1ft 2                        G   1,190,000 lb/hr ft
                            10.04552                                              D   0.06512 ft
                            10.06512211,190,0002                                   L   12.00 ft
                       R e                     67,200                              n   6.00 passes
                               10.4765212.422
                                                                                    L   53.4 lb/ft 3
                        j H   182, from Figure 10-54.
                                                                                                        2
                                                                                       10.000165211,190,0002 112.00216.02
                                  k   c p    1>3     0.14                          p t
                        h i   11822a  ba  b  a  b                                       1221417,000,0002153.4210.065122
                                 D    k a      w
                                                                                       5.80 psi, uncorrected for tube passes
                            1182210.08912 10.4281210.4765212.422  0.333
                        h i            c                  d
                              10.065122       0.0891
                              1249215.552 0.333                                For pass corrections use fluid flow expansion and con-
                                                                             traction as an illustration of one approach to these pressure
                                                                             drop calculations.
                                      2
                       h i   440 Btu/hr (ft ) (°F)
                       1/h i   1/440   0.002270
                                        1/h io   (0.002270) (1.00/0.782)   0.00290  Assume channel diameter   17.25 in. (based on approximate
                       Assume inside fouling, r i   0.001                                          layout)
                                                                                                         2
                                            r io   (0.0010) (1.00/0.782)   0.00128  Sectional area of channel   (17.25) (0.7854)   233.5 in. 2
                                                 Tube resistance, 1/k   0.00024                    17.25 in. diameter
                                                                                                             2
                                       Assume outside (steam) fouling: r o   0.00050  Sectional area of tubes   (82) (0.782) (0.7854)   39.5 in. 2
                       Steam side film, h o , assumed:                                             7.1 in. diameter
                                                     1/h o   1/1,500   0.00067  d  7.1
                                                                                        0.410
                                                               	r   0.00559  D    17.25
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