Comparison of numerical and analytical solutions of a multicomponent reaction-mass-transfer problem in terms of the film model

Chemical Engineering Science

Volumn 55, Issue 8, 2000, Pages 1483-1496

  Kenig, E Y ^a   Butzmann, F ^a   Kucka, L ^a   Gorak A ^b  

^a TU DORTMUND UNIVERSITY   (Germany)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Analytical solution; Boundary value problem; Film model; Multicomponent systems; Numerical solution; Reactive separation

Indexed keywords

BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; FILMS; LINEARIZATION; MASS TRANSFER; MATHEMATICAL MODELS; MATRIX ALGEBRA;

DIFFERENTIAL TRANSPORT EQUATIONS; LIQUID FILMS; REACTIVE SEPARATION;

PHASE SEPARATION;

ANALYTICAL MODEL; COMPUTATIONAL MODEL; MASS TRANSFER; REACTION; SEPARATION;

EID: 0033626719     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(99)00373-5     Document Type: Article

References (58)

1. Asai S. Canadian Journal of Chemical Engineering. 68:1990;284-291.
2. Astarita, G., & Sandler, S. I. (Eds.). (1991). Kinetic and thermodynamic lumping of multicomponent mixtures. Amsterdam: Elsevier.
3. Baerns M., Hofmann H., Renken A. Chemische Reaktionstechnik. 1987;Thieme, Stuttgart.
4. Berezin I.S., Zhidkov N.P. Computing methods. vol. II:1965;Pergamon Press, Oxford.
5. Bird R.B., Stewart W.E., Lightfoot E.N. Transport phenomena. 1960;Wiley, New York.
6. Chang Y.A., Seader J.D. Computers & Chemical Engineering. 12:1988;1243-1255.
7. Crank J. The Mathematics of diffusion. 2nd Ed:1975;Clarendon Press, Oxford.
8. Cussler E.L. Diffusion. Mass transfer in fluid systems:1984;Cambrige University Press, Cambrige.
9. Danckwerts P.V. Gas-liquid reactions. 1970;McGraw-Hill, New York.
10. DeGarmo J.L., Parulekar V.N., Pinjala V. Chemical Engineering Progress. 88:1992;43-50.
11. DeLancey G.B. Chemical Engineering Science. 29:1974;2315-2323.
12. Doherty M.F., Buzad G. Transactions of the Institution of Chemical Engineers. 70:1992;448-458.
13. Doraiswamy L.K., Sharma M.M. Heterogeneous reactions. Analysis, examples and reactor design:1984;Wiley, New York.
14. Frank M.J.W., Kuipers J.A.M., Versteeg G.F., van Swaaij W.P.M. Chemical Engineering Science. 50:1995;1645-1659.
15. Gicquel A., Torck B. Journal of Catalysis. 83:1983;9-18.
16. Grossman G. Cheremisinoff N.P. Handbook of heat and mass transfer. vol. 2:1986;211-232 Gulf Publishing Company Book Division, Houston.
17. Henley E.J., Seader J.D. Equilibrium stage separation operations in chemical engineering. 1981;Wiley, New York.
18. Hirschfelder J.O., Curtiss C.F., Bird R.B. Molecular theory of gases and liquids. 1964;Wiley, New York.
19. Holland C.D. Fundamentals of multicomponent distillation. 1981;McGraw-Hill, New York.
20. Izarraraz A., Bentzen G.W., Anthony R.G., Holland C.D. Hydrocarbon Process. 59:1980;195-203.
21. Kenig, E.Y. (1994). Theoretical Foundations of Chemical Engineering, 28, 199-216, 305-325.
22. Kenig E.Y. Chemical Engineering Journal. 19:1995;189-204.
23. Kenig E.Y. Computers & chemical Engineering. 21(Suppl.):1997;S355-S360.
24. Kenig E.Y., Kholpanov L.P. Theoretical Foundations of Chemical Engineeing. 26:1992;510-521.
25. Kenig E.Y., Górak A. Chemical Engineering Process. 34:1995;97-103.
26. Kenig E.Y., Kholpanov L.P., Malyusov V.A. Proceedings of the Academy of Sciences of the USSR, Chemical Technology Section. 324:1992;55-58.
27. Korn G.A., Korn T.M. Mathematical handbook for scientists and engineers. 1968;McGraw-Hill, New York.
28. Krishna R., van der Broeke L.J.P. Chemical Engineering Journal. 57:1995;155-162.
29. Levich V.G. Physicochemical hydrodynamics. 1962;Prentice-Hall, Englewood Cliffs, NJ.
30. Lewis W.K., Whitman W.G. Industrial and Engineering Chemistry. 16:1924;1215-1220.
31. Marquardt W. Berber R. Methods of Model Based Process Control. 1995;41-79 Kluwer Academic Publishers, The Netherlands.
32. Parra D., Tejero J., Cunill F., Iborra M., Izquierdo J.F. Chemical Engineering Science. 49:1994;4563-4578.
33. Patankar S.V. Numerical heat transfer and fluid flow. 1980;Hemisphere publ. corp., McGraw-Hill, New York.
34. Rehfinger A., Hoffmann U. Chemical Engineering Science. 45:1990;1605-1617.
35. Reid R.C., Prausnitz J.M., Poling B. The properties of gases and liquids. 4th ed:1987;McGraw-Hill, New York.
36. Samarskij A.A. Theorie der Differenzenverfahren. 1984;Akademische Verlagsgesellschaft, Leipzig.
37. Sentarli I., Hortaçsu A. Industrial and Engineering Chemistry Research. 26:1987;2409-2413.
38. Sherwood T.K., Pigford R.L., Wilke C.R. Mass transfer. 1975;McGraw-Hill, New York.
39. Simandl J., Svrcek W.Y. Computers & Chemical Engineering. 15:1991;337-348.
40. Stefener, M. (1996). Simulation des stationären und dynamischen Verhaltens einer Kolonne zur reaktiven Rektifikation. Dissertation, Dortmund University, Dortmund.
41. Stewart W.E., Prober R. Industrial and Engineering Chemistry Fundamentals. 3:1964;224-235.
42. Sundmacher K., Hoffmann U. Chemical Engineering Technology. 16:1993;279-289.
43. Sundmacher K., Hoffmann U. Chemical Engineering Science. 49:1994;3077-3089.
44. Taylor R., Krishna R. Multicomponent mass transfer. 1993;Wiley, New York.
45. Toor, H.L. (1964a). A.I.Ch.E. Journal, 10, 448-455, 460-465.
46. Toor H.L. A.I.Ch.E. Journal. 10:1994;545-547.
47. Toor H.L. Chemical Engineering Science. 20:1965;941-951.
48. Ung S., Doherty M.F. Industrial and Engineering Chemistry Research. 34:1995;2555-2565.
49. Valerio S., Vanni M. Chemical Engineering Science. 49:1994;3297-3305.
50. Vanni M., Baldi G. Chemical Engineering Science. 46:1991;2465-2472.
51. van Krevelen D.W., Hoftijzer P.J. Recueil des travaux Chimiques des Pays-Bas. 67:1948;563-586.
52. Varvarezos D.K., Biegler L.T., Grossmann I.E. Computers & chemical Engineering. 18:1994;579-595.
53. Wei J., Prater C.D. Advances in Catalysis. 13:1962;203-392.
54. Wesselingh J.A., Vonk P., Kraaijeveld G. Chemical Engineering Journal. 57:1995;75-89.
55. Whitman W.G. Chemical and Metallurgical Engineering. 29:1923;146-148.
56. Yuxiang Z., Xien X. Chemical Engineering Research and Design. 70:1992;459-470.
57. Zhu J., Shen F. Proceedings FOCAPD'94 International Conference on Found. Comp.-Aided Proc. Design. 1994;Snow Mass Valley, USA.
58. Zimmermann A., Joulia X., Gourdon C., Górak A. Chemical Engineering Journal. 57:1995;229-236.