© EXAMPLE OF CALCULATION
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29 - 11 - 2003. NUMBER OF THE EXAMPLE - 15 SYSTEM: PENTANE-HEXANE-HEPTANE. INITIAL DATE. METHOD FOR PREDICTING EQULIBRIDRIUM, ENTHALPY AND ENTROPY DATA is stated in the book: STARLING KENNETH E. FLUID THERMODYNAMIC PROPERTIES FOR LIGHT PETROLEUM SYSTEMS. HOUSTEN (TX) 1973. GULF PUBL. CO. PENTANE: CMV,PC,TC,CD,ACF,CZ - 72.14600 484.96800 845.11000 .20070 .25200 .00000 HEXANE: CMV,PC,TC,CD,ACF,CZ - 86.17200 433.53200 913.14000 .16960 .30200 .00000 HEPTANE: CMV,PC,TC,CD,ACF,CZ - 100.19800 393.85280 972.54000 .14650 .35300 .00000 A(1,J)= .235567D+01 .475631D+05 .254012D+11 .118348D+02 .153087D+02 .151793D+06 .733798D+01 .134676D+12 .207226D+13 .361756D+08 .993270D+14 A(2,J)= .282167D+01 .581552D+05 .420351D+11 .161023D+02 .220450D+02 .242527D+06 .117047D+02 .256693D+12 .373720D+13 .663542D+08 .173876D+15 A(3,J)= .330678D+01 .683587D+05 .646640D+11 .209369D+02 .303751D+02 .364890D+06 .174394D+02 .446651D+12 .616672D+13 .112057D+09 .280867D+15 COMPOS INITIAL MIXTURE: MOLL FRACTION - .44000 .32000 .24000 ASSIGN. MOLE FRAC. OF LIGHT COMPON. IN DISTILL. - .8000 ASSIGN MOLE FRAC. OF DISTIL. IN INITIAL MIXTURE - .4000 REFLUX AND VAPOR NUMBERS, EFFIC. COEFF. 2.00000 1.33333 .50000 MAXIM. NUMBER OF PLATE IN DISTILL. COLUMN- 30; STRIPP. COLUMN- 30. -------------------------------------------------------------------- BATCH FILE: LREQNENG.BAT FL REQNENGL (FIED1 START SPLPRO PR05A PREND) WXY NEWNF DWKOLN REFUEN GL; -------------------------------------------------------------------- X0 3 699.90440 44.00000 32.00000 24.00000 7085.51171 ITERATION NUMBER 6 VAL. OF FUNC. CARRENT APPROX. STEP SUCCESSIVE APPROX .146383D-07 -.963842507192D+00 -.196894D-07 -.963842526882D+00 -.821706D-08 -.289918707962D+00 .232431D-08 -.289918705638D+00 .191274D-09 .363004403060D+00 .253678D-07 .363004428428D+00 XF 715.26382 30.37205 34.24190 35.38605 8215.60289 YF 715.26382 53.08530 30.50540 16.40930 17083.11210 SUM 715.26382 44.00000 32.00000 24.00000 13536.10841 X0 699.90440 44.00000 32.00000 24.00000 7085.51171 DEL 15.35942 .00000 .00000 .00000 6450.59670 XD 3 670.67650 80.00000 16.61756 3.38244 XW 3 725.61921 20.00000 42.25496 37.74504 RECTIFYING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 670.67650 80.00000 16.61756 3.38244 2 674.27346 74.26932 20.84872 4.88197 3 678.97951 67.21598 25.79215 6.99186 4 685.05519 58.78768 31.30463 9.90769 5 692.72952 49.13210 37.03076 13.83715 6 702.05837 38.70745 42.34059 18.95197 7 712.78883 28.32794 46.36247 25.30958 8 724.21348 19.01886 48.20778 32.77336 9 735.32582 11.64030 47.36221 40.99749 10 745.26263 6.50859 43.97389 49.51752 INSP 1 715.26382 26.16229 46.97392 26.86378 715.26382 REFLUX OF STRIPPING SECTION OF DISTILLATION COLUMN. 1.200000 XDF 715.26382 26.16229 46.97392 26.86378 XWF 715.26495 27.56554 42.72992 29.70454 LIQUID PHASE. 1 725.61921 20.00000 42.25496 37.74504 2 713.00143 29.99279 40.79454 29.21267 3 701.43797 40.92592 37.21601 21.85807 4 691.67599 51.64389 32.43191 15.92420 5 683.87268 61.33120 27.29613 11.37267 1 683.87268 61.33120 27.29613 11.37267 2 691.67599 51.64389 32.43191 15.92420 3 701.43797 40.92592 37.21601 21.85807 4 713.00143 29.99279 40.79454 29.21267 5 725.61921 20.00000 42.25496 37.74504 3 715.26495 27.56554 42.72992 29.70454 3 715.26495 28.07030 41.20341 30.72628 3 670.67650 80.00000 16.61756 3.38244 3 725.61921 20.00000 42.25496 37.74504 3 .00000 -.50476 1.52650 -1.02175 3 -.03572 .375000D+00 .381418D+01 .167387D+02 ------------------------------------------------------------- TD,XDC 670.676504781418000 8.000000000000000E-001 XD 1.661756367986238E-001 3.382436320181187E-002 FI -1.338726604389180 -2.817722994808670 ------------------------------------------------------------- FI -1.364012113035453 -2.713423583108936 ITERATION NUMBER 0 VAL. OF FUNC. CARRENT APPROX. STEP SUCCESSIVE APPROX .272352D-11 -.133872660439D+01 -.252855D-01 -.136401211304D+01 -.357245D-01 -.281772299481D+01 .104299D+00 -.271342358311D+01 XD 6 670.77255 79.98538 16.28414 3.73047 XW 6 725.50986 20.00244 42.48043 37.51713 RECTIFYING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 670.77255 79.98538 16.28414 3.73047 2 674.44832 74.19523 20.42168 5.38309 3 679.27976 67.04980 25.24390 7.70630 4 685.54821 58.49199 30.59629 10.91172 5 693.50443 48.67496 36.10604 15.21900 6 703.21540 38.08219 41.12014 20.79766 7 714.40259 27.57715 44.74842 27.67444 8 726.27824 18.24053 46.11486 35.64462 9 737.72694 10.95235 44.77692 44.27073 10 747.81717 5.98977 40.99990 53.01032 INSP 1 715.26382 26.83760 44.93305 28.22935 715.26382 REFLUX OF STRIPPING SECTION OF DISTILLATION COLUMN. 1.200000 XDF 715.26382 26.83760 44.93305 28.22935 XWF 715.26462 28.01575 41.36933 30.61492 LIQUID PHASE. 1 725.50986 20.00244 42.48043 37.51713 2 712.94018 29.97547 40.99530 29.02923 3 701.41501 40.88906 37.39235 21.71859 4 691.67751 51.59334 32.58436 15.82230 5 683.88713 61.27443 27.42541 11.30016 1 683.88713 61.27443 27.42541 11.30016 2 691.67751 51.59334 32.58436 15.82230 3 701.41501 40.88906 37.39235 21.71859 4 712.94018 29.97547 40.99530 29.02923 5 725.50986 20.00244 42.48043 37.51713 6 715.26462 28.01575 41.36933 30.61492 6 715.26462 27.99898 41.41986 30.58116 6 670.77255 79.98538 16.28414 3.73047 6 725.50986 20.00244 42.48043 37.51713 6 .00091 .01677 -.05053 .03376 6 .00122 .375114D+00 .391305D+01 .150854D+02 ------------------------------------------------------------- TD,XDC 670.772550768005700 8.000000000000000E-001 XD 1.628414447632285E-001 3.730471857174218E-002 FI -1.364012113035453 -2.713423583108936 ------------------------------------------------------------- FI -1.364127012997747 -2.718219800713466 ITERATION NUMBER 1 VAL. OF FUNC. CARRENT APPROX. STEP SUCCESSIVE APPROX .913688D-03 -.136401211304D+01 -.114900D-03 -.136412701300D+01 .122137D-02 -.271342358311D+01 -.479622D-02 -.271821980071D+01 XD 9 670.76047 79.99997 16.28562 3.71440 XW 9 725.51523 20.00000 42.47626 37.52374 RECTIFYING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 670.76047 79.99997 16.28562 3.71440 2 674.43066 74.21543 20.42453 5.36005 3 679.25412 67.07709 25.24928 7.67362 4 685.51146 58.52763 30.60625 10.86612 5 693.45288 48.71924 36.12391 15.15685 6 703.14570 38.13346 41.15082 20.71572 7 714.31367 27.63102 44.79780 27.57118 8 726.17335 18.29056 46.18769 35.52174 9 737.61358 10.99268 44.87357 44.13376 10 747.70390 6.01792 41.11465 52.86743 INSP 1 715.26382 26.81452 45.00280 28.18268 715.26382 REFLUX OF STRIPPING SECTION OF DISTILLATION COLUMN. 1.200000 XDF 715.26382 26.81452 45.00280 28.18268 XWF 715.26463 28.00036 41.41583 30.58381 LIQUID PHASE. 1 725.51523 20.00000 42.47626 37.52374 2 712.94453 29.97301 40.99224 29.03475 3 701.41824 40.88687 37.39019 21.72293 4 691.67977 51.59159 32.58284 15.82557 5 683.88866 61.27313 27.42433 11.30254 1 683.88866 61.27313 27.42433 11.30254 2 691.67977 51.59159 32.58284 15.82557 3 701.41824 40.88687 37.39019 21.72293 4 712.94453 29.97301 40.99224 29.03475 5 725.51523 20.00000 42.47626 37.52374 9 715.26463 28.00036 41.41583 30.58381 9 715.26463 28.00029 41.41587 30.58384 9 670.76047 79.99997 16.28562 3.71440 9 725.51523 20.00000 42.47626 37.52374 9 .00000 .00007 -.00004 -.00003 9 .00000 .375000D+00 .391231D+01 .151533D+02 ------------------------------------------------------------- TD,XDC 670.760466261458300 8.000000000000000E-001 XD 1.628562398914115E-001 3.714404833923433E-002 FI -1.364127012997747 -2.718219800713466 ------------------------------------------------------------- FI -1.364128241185353 -2.718225568454256 ITERATION NUMBER 2 VAL. OF FUNC. CARRENT APPROX. STEP SUCCESSIVE APPROX .180144D-05 -.136412701300D+01 -.122819D-05 -.136412824119D+01 .101130D-05 -.271821980071D+01 -.576774D-05 -.271822556845D+01 FEED (INITIAL MIXTURE), X0: 124.219 44.000 32.000 24.000 FEED (LIQUID PHASE), XF: 124.219 30.372 34.242 35.386 FEED (VAPOR PHASE), YF: 124.219 53.085 30.505 16.409 DISTILLATE COMPOSITION, XD: 99.495 80.000 16.286 3.714 BOTTOMS COMPOSITION, XW: 129.914 20.000 42.476 37.524 MOLE FRACTION OF DISTILLATE IN INITIAL MIXTURE .400 MOLE FRACTION OF VAPOR PHASE IN FEED: .600 REFLUX AND REBOIL RATIN, EFFICIENCY: 2.000 1.000 .500 YXDQ GLQW 1.27782 1.21063 .61063 .60000 .60000 .58812 .87782 .81063 .81063 .80000 1.20000 1.18812 2.19455 2.02657 2.02657 1.50000 1.00000 .98020 FLMIN=1.049 QDMIN=10532.4073 T= 715.265 IT 7 YV= .000D+00 DEL .100D-02 VZMIN=PP*FLM/(1-PP)= .69939 PACET AOBOO PABHOB. P AHHOM XV HE CXOTC. IT= 5 XV= 731.03092 DG= .01063 DL= .01008 FUNC FUG,FUL= 2 6 34.879694 17.450292 24.632764 22.738607 6.130478 10.230115 VZMIN= .407 QWMIN=-2680.5821 T= 715.265 IT 9 YV= .551D-05 DEL .536D-04 FLMIN=(1-PP)*VZ1/PP= .61047 VZMIN= .814 QWMIN= .0055 T= 727.717 IT 6 YV= .456D-01 DEL .826D-05 FLMIN=(1-PP)*VZ1/PP= 1.22150 A. KNOT POINT FOR CALCULATION PROCESS TRAECTORIE. RECTIFYING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 99.49472 79.99997 16.28562 3.71440 2 101.53372 74.21543 20.42453 5.36005 3 104.21342 67.07709 25.24928 7.67362 4 107.68971 58.52763 30.60625 10.86612 5 112.10162 48.71924 36.12391 15.15685 6 117.48652 38.13346 41.15082 20.71572 7 123.69094 27.63102 44.79780 27.57118 8 130.27966 18.29056 46.18769 35.52174 9 136.63534 10.99268 44.87357 44.13376 10 142.24107 6.01792 41.11465 52.86743 STRIPPING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 106.78816 61.27313 27.42433 11.30254 2 111.11656 51.59159 32.58284 15.82557 3 116.52682 40.88687 37.39019 21.72293 4 122.93031 29.97301 40.99224 29.03475 5 129.91403 20.00000 42.47626 37.52374 B. CALCULATION OF THEORETICAL STEP ALONG PROCESS TRAECTORIE. RECTIFYING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 670.76047 79.99997 16.28562 3.71440 4747.17658 71.63724 2 677.20826 70.04081 23.29039 6.66879 5258.68412 70.28614 3 684.27838 60.15297 29.62372 10.22331 5810.38132 68.25577 4 691.50323 51.02266 34.89315 14.08419 6360.12404 65.75544 5 698.42987 43.09938 38.92724 17.97338 6872.40159 63.01737 6 117.25777 39.54855 37.91330 22.53815 7226.98182 59.03806 VAPOR PHASE. 1 106.65893 79.99997 16.28562 3.71440 14756.14940 86.48527 2.19455 2 110.93252 73.20429 21.06536 5.73035 15252.63626 85.67505 2.14817 3 115.03229 66.53991 25.33141 8.12869 15757.80146 84.41381 2.10744 4 118.71475 60.44926 28.83994 10.71080 16236.92622 82.83744 2.07400 5 121.86885 55.20721 31.49807 13.29472 16666.44849 81.09834 2.04766 6 124.21957 52.91398 30.76736 16.31865 16972.13554 78.53283 2.02657 STRIPPING SECTION OF DISTILLATION COLUMN. LIQUID PHASE. 1 124.21926 28.00036 41.41583 30.58381 8109.81480 52.62844 2 128.26890 22.21381 42.24861 35.53758 8602.04526 48.47986 3 129.91403 20.00000 42.47626 37.52374 8795.76458 46.79556 VAPOR PHASE. 1 132.31854 36.00072 40.35540 23.64387 18252.23150 73.58453 1.00000 2 139.15952 24.46067 42.01756 33.52178 19395.42645 65.33212 .98529 3 141.65557 20.00000 42.47626 37.52374 19842.88302 61.90999 .98020 . CHARACTERISTIC SECTION OF DISTILLATION COLUMN. UPPER SECTION OF DISTILLATION COLUMN, XD - YD. 1 99.49472 79.99997 16.28562 3.71440 4747.17658 71.63724 1 106.65893 79.99997 16.28562 3.71440 14756.14940 86.48527 LOWER SECTION OF DISTILLATION COLUMN, XD1 - YD1. 1 117.25777 39.54855 37.91330 22.53815 7226.98182 59.03806 2 124.21957 52.91398 30.76736 16.31865 16972.13554 78.53283 SECTION TO VAPOR FEED INLET, XW1 - YW1. 1 117.25777 39.54855 37.91330 22.53815 7226.98182 59.03806 2 124.21957 52.74565 31.02477 16.22958 16974.49036 78.63857 SECTION TO LIQUID FEED INLET, XDF - YDF. 1 124.21880 26.81452 45.00280 28.18268 8055.79495 55.10371 2 132.31854 36.00072 40.35540 23.64387 18252.23150 73.58453 UPPER SECTION STRIPPING COLUMN, XWF - YWF. 1 124.21926 28.00036 41.41583 30.58381 8109.81480 52.62844 2 132.31854 36.00072 40.35540 23.64387 18252.23150 73.58453 LOWER SECTION STRIPPING COLUMN, XW - YW. 1 129.91403 20.00000 42.47626 37.52374 8795.76458 46.79556 2 141.65557 20.00000 42.47626 37.52374 19842.88302 61.90999 RECTIFYING SECTION OF DISTILLATION COLUMN. N TEMPERATURE L G FL 1 670.760 683.656 .87782 1.27782 2.19455 2 677.208 691.349 .85927 1.25927 2.14817 3 684.278 698.728 .84297 1.24297 2.10744 4 691.503 705.357 .82960 1.22960 2.07400 5 698.430 711.034 .81907 1.21907 2.04766 6 702.734 715.265 .81063 1.21063 2.02657 N HL*L HG*G HG*G-HL*L SL*L SG*C S-PROD 1 4167.171 18855.718 14688.546 71.637 86.485 .000 2 4518.623 19207.170 14688.546 70.286 85.675 .135 3 4898.006 19586.552 14688.546 68.256 84.414 .107 4 5276.347 19964.893 14688.546 65.755 82.837 .080 5 5628.948 20317.494 14688.546 63.017 81.098 .057 6 5858.392 20546.938 14688.546 59.038 78.533 .033 STRIPPING SECTION OF DISTILLATION COLUMN. N TEMPERATURE L G VZ 1 715.265 729.843 1.20000 .60000 1.00000 2 722.554 742.157 1.19118 .59118 .98529 3 725.515 746.650 1.18812 .58812 .98020 N HL*L HG*G HG*G-HL*L SL*L SG*C S-PROD 1 9731.778 10951.339 1219.561 52.628 73.585 .000 2 10246.550 11466.111 1219.561 48.480 65.332 .122 3 10450.415 11669.976 1219.561 46.796 61.910 .063 D. MATERIAL BALANCE AROUND VOLUME FEED INLET. INPUT. ------------------------------------------------------------- | 1 | XD1 | .81063 | .32059 | .30734 | .18270 | | 2 | YWF | .60000 | .21600 | .24213 | .14186 | | 3 | XF | .40000 | .12149 | .13697 | .14154 | | 4 | YF | .60000 | .31851 | .18303 | .09846 | ------------------------------------------------------------- | 5 | SUM TOTAL| 2.41063 | .97660 | .86947 | .56456 | OUTPUT. ------------------------------------------------------------- | 1 | XWF | 1.20000 | .33600 | .49699 | .36701 | | 2 | YD1 | 1.21063 | .64059 | .37248 | .19756 | ------------------------------------------------------------- | 3 | SUM TOTAL| 2.41063 | .97660 | .86947 | .56456 | E. OVERALL MATERIAL BALANCE AROUND DISTILLATION COLUMN. INPUT. ------------------------------------------------------------- | 1 | XF | .40000 | .12149 | .13697 | .14154 | | 2 | YF | .60000 | .31851 | .18303 | .09846 | ------------------------------------------------------------- | 3 | SUM TOTAL| 1.00000 | .44000 | .32000 | .24000 | OUTPUT. ------------------------------------------------------------- | 1 | XD | .40000 | .32000 | .06514 | .01486 | | 2 | XW | .60000 | .12000 | .25486 | .22514 | ------------------------------------------------------------- | 3 | SUM TOTAL| 1.00000 | .44000 | .32000 | .24000 | F. MATERIAL, ENTHALPY AND ENTROPY BALANCE AROUND SECTION OF VAPOR FEED INLET. INPUT. ------------------------------------------------------------- | 1 | YW1 | 397.370 | .61063 | 10365.095 | 48.01890 | | 2 | XD1 | 397.370 | .81063 | 5858.392 | 47.85789 | | 3 | YF | 397.370 | .60000 | 10181.843 | 47.05501 | ------------------------------------------------------------- | 4 | SUM TOTAL| | 2.02126 | 26405.331 | 142.93180 | OUTPUT. ------------------------------------------------------------- | 1 | YD1 | 397.370 | 1.21063 | 20546.938 | 95.07402 | | 2 | XW1 | 390.408 | .81063 | 5858.392 | 47.85789 | ------------------------------------------------------------- | 3 | SUM TOTAL|| | | 2.02126 | 26405.331 | 142.93191 | S-PROD= .00012 G. MATERIAL, ENTHALPY AND ENTROPY BALANCE BETWEEN SECTIONS OF VAPOR AND LIQUID FEED INLETS. INPUT. ------------------------------------------------------------- | 1 | YDF | 405.469 | .60000 | 10951.339 | 44.15072 | | 2 | XW1 | 390.408 | .81063 | 5858.392 | 47.85789 | ------------------------------------------------------------- | 3 | SUM TOTAL| | 1.41063 | 16809.731 | 92.00861 | OUTPUT. ------------------------------------------------------------- | 1 | YW1 | 397.370 | .61063 | 10365.095 | 48.01890 | | 2 | XDF | 397.369 | .80000 | 6444.636 | 44.08297 | ------------------------------------------------------------- | 3 | SUM TOTAL| | 1.41063 | 16809.731 | 92.10186 | S-PROD= .09326 H. MATERIAL, ENTHALPY AND ENTROPY BALANCE AROUND SECTION OF LIQUID FEED INLET. INPUT. ------------------------------------------------------------- | 1 | YWF | 405.469 | .60000 | 10951.339 | 44.15072 | | 2 | XDF | 397.369 | .80000 | 6444.636 | 44.08297 | | 3 | XF | 397.369 | .40000 | 3287.142 | 19.05762 | ------------------------------------------------------------- | 4 | SUM TOTAL| | 1.80000 | 20683.117 | 107.29130 | OUTPUT. ------------------------------------------------------------- | 1 | YDF | 405.469 | .60000 | 10951.339 | 44.15072 | | 2 | XWF | 397.369 | 1.20000 | 9731.778 | 63.15413 | ------------------------------------------------------------- | 3 | SUM TOTAL| | 1.80000 | 20683.117 | 107.30484 | S-PROD= .01354 I. OVERALL MATERIAL, ENTHALPY AND ENTROPY BALANCE AROUND INTERNAL CONTOUR OF DISTILLATION COLUMN. INPUT. ------------------------------------------------------------- | 1 | YW | 414.806 | .58812 | 11669.976 | 36.41044 | | 2 | XD | 372.645 | .87782 | 4167.171 | 62.88467 | | 3 | YF | 397.370 | .60000 | 10181.843 | 47.05501 | | 4 | XF | 397.369 | .40000 | 3287.142 | 19.05762 | ------------------------------------------------------------- | 5 | SUM TOTAL| | 2.46594 | 29306.132 | 165.40774 | PA. ------------------------------------------------------------- | 1 | XW | 403.064 | 1.18812 | 10450.415 | 55.59869 | | 2 | YD | 379.809 | 1.27782 | 18855.718 | 110.51270 | ------------------------------------------------------------- | 3 | SUM TOTAL| | 2.46594 | 29306.132 | 166.11139 | S-PROD= .70365 TIME OF THE BEGINNING OF CALCULATION, H., ., S.: 13, 52, 35. TIME OF THE ENDING OF CALCULATION, H., ., S.: 13, 55, 3. DURATION OF CALCULATION: 0 HOURS, 2 MINUTES, 28 SECONDS