Form of multicomponent Fickian diffusion coefficients matrix

Journal of Chemical Thermodynamics

Volumn 43, Issue 8, 2011, Pages 1192-1203

  Wambui Mutoru, J ^a   Firoozabadi, Abbas ^a  

^a Yale University   (United States)

Author keywords

Multicomponent diffusion; Phenomenological coefficients; Thermodynamic factors

Indexed keywords

DIAGONAL ELEMENTS; DIFFUSION COEFFICIENTS; FICKIAN DIFFUSION; MATRIX; MULTI-COMPONENT DIFFUSION; MULTICOMPONENTS; PHENOMENOLOGICAL COEFFICIENTS; QUATERNARY MIXTURES; SYMMETRIC POSITIVE DEFINITE MATRICES; THERMODYNAMIC FACTORS; THERMODYNAMICALLY STABLE;

THERMODYNAMICS;

DIFFUSION;

EID: 79955595476     PISSN: 00219614     EISSN: 10963626     Source Type: Journal    
DOI: 10.1016/j.jct.2011.03.003     Document Type: Article

References (136)

1. H.T. Cullinan Jr. Ind. Eng. Chem. Fundam. 4 1965 133 139
2. Y.L. Yao J. Chem. Phys. 45 1966 110 115
3. J.S. Kirkaldy, D. Weichert, and Zia-Ul-Haq Can. J. Phys. 41 1963 2166 2173
4. J.S. Kirkaldy H. Herman, Advances in Materials Research vol. 4 1970 John Wiley & Sons, Inc. New York, USA 55 100
5. P.K. Gupta, and A.R. Cooper Jr. Physica 54 1971 39 59
6. D.G. Miller, V. Vitagliano, and R. Sartorio J. Phys. Chem. 90 1986 1509 1519
7. J.S. Vrentas, and C.M. Vrentas Ind. Eng. Chem. Res. 44 2005 1112 1119
8. S.R. de Groot, and P. Mazur Non-equilibrium Thermodynamics 1984 Dover New York, USA
9. J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird Molecular Theory of Gases and Liquids 1954 John Wiley & Sons, Inc. New York, USA
10. G.L. Standart, R. Taylor, and R. Krishna Chem. Eng. Commun. 3 1979 277 289
11. R. Taylor, and R. Krishna Multicomponent Mass Transfer 1993 John Wiley & Sons New York, USA
12. K. Ghorayeb, and A. Firoozabadi AIChE J. 46 2000 883 891
13. R.A. Horn, and C.R. Johnson Matrix Analysis 1985 Cambridge University Press Cambridge, England
14. G.T. Gilbert Am. Math. Monthly 9 1991 44 46
15. A. Firoozabadi Thermodynamics of Hydrocarbon Reservoirs 1999 McGraw-Hill New York, USA
16. A. Leahy-Dios, and A. Firoozabadi AIChE J. 53 2007 2932 2939
17. H. Hoteit, E. Santiso, and A. Firoozabadi Fluid Phase Equilib. 241 2006 186 195
18. B.E. Poling, J.M. Prausnitz, and J.P. O'Connell The Properties of Gases and Liquids 5th ed. 2001 McGraw-Hill New York, USA
19. J.K. Burchard, and H.L. Toor J. Phys. Chem. 66 1962 2015 2022
20. H.T. Cullinan, and H.L. Toor J. Phys. Chem. 69 1965 3941 3949
21. A. Sethy, and H.T. Cullinan AIChE J. 21 1975 571 575
22. T.K. Kett, and D.K. Anderson J. Phys. Chem. 73 1969 1268 1274
23. A. Alimadadian, and P. Colver Can. J. Chem. Eng. 54 1976 208 213
24. R.G. Mortimer, W.R. Marlow, and J.L. Shenep Ind. Eng. Chem. Fundam. 14 1975 114 119
25. R.G. Mortimer, and B.C. Hicks J. Phys. Chem. 80 1976 1376 1380
26. E.L. Cussler, and E.N. Lightfoot J. Phys. Chem. 69 1965 1135 1144
27. A. Leahy-Dios, M.M. Bou-Ali, J.K. Platten, and A. Firoozabadi J. Chem. Phys. 122 2005 234502
28. Q. Galand, S.V. Vaerenbergh, and F. Montel Energy Fuels 22 2008 770 774
29. A. Koeniger, H. Wunderlich, and W. Koehler J. Chem. Phys. 132 2010 174506
30. T. Grossmann, and J. Winkelmann J. Chem. Eng. Data 54 2009 405 410
31. T. Grossmann, and J. Winkelmann J. Chem. Eng. Data 54 2009 485 490
32. W.M. Clark, and R.L. Rowley Int. J. Thermophys. 6 1985 631 642
33. F.O. Shuck, and H.L. Toor J. Phys. Chem. 67 1963 540 545
34. T.H. Riede, and E.U. Schlunder Chem. Eng. Sci. 46 1991 609 617
35. S. Rehfeldt, and J. Stichlmair Fluid Phase Equilib. 290 2010 1 14
36. G.B. Ray, and D.G. Leaist J. Chem. Eng. Data 55 2010 1814 1820
37. R.A. Graff, and T.B. Drew Ind. Eng. Chem. Fundam. 7 1968 490 497
38. D. Buzatu, F.D. Buzatu, L. Paduano, and R. Sartorio J. Solution Chem. 36 2007 1373 1384
39. V. Vitagliano, R. Sartorio, S. Scala, and D. Spaduzzi J. Solution Chem. 7 1978 605 621
40. T. Grossmann, and J. Winkelmann J. Chem. Eng. Data 52 2007 336 340
41. T. Grossmann, and J. Winkelmann J. Chem. Eng. Data 50 2005 1396 1403
42. T. Grossmann, and J. Winkelmann J. Chem. Eng. Data 52 2007 341 344
43. P.W.M. Rutten, Diffusion in Liquids, Ph.D. Thesis, Delft University, Delft, The Netherlands, 1992.
44. H. Kim, R.C. Deonier, and G. Reinfelds J. Solution Chem. 3 1974 445 453
45. D.G. Leaist J. Chem. Soc., Faraday Trans. 87 1991 597 601
46. D.G. Leaist J. Phys. Chem. 94 1990 5180 5183
47. H. Kim J. Solution Chem. 3 1974 149 159
48. E.L. Cussler, and P.J. Dunlop J. Phys. Chem. 70 1966 1880 1888
49. M.C. Yang, J.G. Albright, J.A. Rard, and D.G. Miller J. Solution Chem. 27 1998 309 329
50. D. Kirstein, E. Kahrig, J. Erpenbeck, and G. Dreyer Z. Phys. Chemie. Leipzig 258 1977 289 296
51. P.N. Henrion Trans. Faraday Soc. 60 1964 75 82
52. A.C.F. Ribeiro, M.C.F. Barros, V.M.M. Lobo, G. Quintanilla, and M.A. Esteso J. Chem. Eng. Data 55 2010 897 900
53. L. Paduano, R. Sartorio, V. Vitagliano, and L. Costantino J. Solution Chem. 24 1995 1143 1153
54. A.C.F. Ribeiro, C.I.A.V. Santos, V.M.M. Lobo, A.M.T.D.P.V. Cabral, F.J.B. Veiga, and M.A. Esteso J. Chem. Thermodyn. 41 2009 1324 1328
55. A.C.F. Ribeiro, J.J.S. Natividade, and M.A. Esteso J. Mol. Liq. 156 2010 58 64
56. J.G. Albright, O. Annunziata, D.G. Miller, L. Paduano, and A.J. Pearlstein JACS 121 1999 3256 3266
57. A.C.F. Ribeiro, C.I.A.V. Santos, V.M.M. Lobo, A.M.T.D.P.V. Cabral, F.J.B. Veiga, and M.A. Esteso J. Chem. Eng. Data 54 2009 115 117
58. P.Y. Lo, and A.S. Myerson AIChE J. 35 1989 676 678
59. H. Kim, and G. Reinfelds J. Solution Chem. 2 1973 477 488
60. L. Paduano, R. Sartorio, and V. Vitagliano J. Phys. Chem. B 102 1998 5023 5028
61. G. Reinfelds, and L.J. Gosting J. Phys. Chem. 68 1964 2464 2470
62. W.H. Chang, and M.H. Li J. Chem. Eng. Jpn. 41 2008 336 443
63. C.C. Ko, W.H. Chang, and M.H. Li J. Chin. Inst. Chem. Eng. 39 2008 645 651
64. P.H. Lin, C.C. Ko, and M.H. Li Fluid Phase Equilib. 276 2009 69 74
65. D.G. Leaist, and S.M. Abdu J. Chem. Eng. Data 46 2001 922 926
66. H.D. Ellerton, and P.J. Dunlop J. Phys. Chem. 71 1967 1538 1540
67. H. Kim J. Solution Chem. 3 1974 271 287
68. D. Ciccarelli, L. Paduano, L. Costantino, O. Ortona, and V. Vitagliano J. Mol. Liq. 75 1998 169 180
69. H.M. Halvorsen, E. Wygnal, M.R. MacIver, and D.G. Leaist J. Chem. Eng. Data 52 2007 442 448
70. O. Annunziata, A. Vergara, L. Paduano, R. Sartorio, D.G. Miller, and J.G. Albright J. Phys. Chem. B 113 2009 13446 13453
71. D.G. Leaist, and L. Hao J. Solution Chem. 22 1993 263 277
72. L.A. Woolf J. Phys. Chem. 67 1963 273 277
73. P.J. Dunlop J. Phys. Chem. 69 1965 4276 4283
74. P.J. Dunlop, and L.J. Gosting J. Phys. Chem. 68 1964 3874 3876
75. P.J. Dunlop J. Phys. Chem. 61 1957 1619 1622
76. H.D. Ellerton, and P.J. Dunlop J. Phys. Chem. 71 1967 1291 1297
77. L. Paduano, R. Sartorio, V. Vitagliano, J.G. Albright, D.G. Miller, and J. Mitchell J. Phys. Chem. 94 1990 6885 6888
78. L.A. Woolf, D.G. Miller, and L.J. Gosting JACS 84 1962
79. C.N. Pepela, and P.J. Dunlop J. Chem. Eng. Data 17 1972 207 208
80. E.L. Cussler, and P.J. Dunlop Aust. J. Chem. 19 1966 1661 1665
81. D.A. Ivanov, T. Grossmann, and J. Winkelmann Fluid Phase Equilib. 228-229 2005 283 291
82. F.J. Kelly, Diffusion and Viscosity in Three Component Systems, Ph.D. Thesis, University of New England, Armidale, New South Wales, 1961.
83. P.J. Dunlop J. Phys. Chem. 61 1957 994 1000
84. S.W. Peng, A.N. Soriano, and M.H. Li Fluid Phase Equilib. 297 2010 1 5
85. V. Vitagliano, R. Sartorio, O. Ortona, L. Paduano, G. D'Errico, F. Capuano, and G. Mangiapia J. Mol. Liq. 195 2010 70 75
86. A.C.F. Ribeiro, M.N. Simoes, V.M.M. Lobo, A.M.T.D.P.V. Cabral, V.F.J. B, and M.A. Esteso J. Chem. Eng. Data 55 2010 2192 2194
87. A.C.F. Ribeiro, A.C.G. Santos, V.M.M. Lobo, A.J.F.N. Sobral, A.M.T.D.P.V. Cabral, and M.A. Esteso J. Chem. Thermodyn. 42 2010 886 890
88. A.C.F. Ribeiro, C.I.A.V. Santos, V.M.M. Lobo, and M.A. Esteso J. Chem. Eng. Data 55 2010 2610 2612
89. P.E. Gerla, and A.C. Rubiolo J. Food Eng. 56 2003 401 410
90. A. Deng, and D.G. Leaist Can. J. Chem. 69 1991 1548 1553
91. A. Deng, and D.G. Leaist J. Solution Chem. 21 1992 15 22
92. H. Fujita, and L.J. Gosting J. Phys. Chem. 64 1960 1256 1263
93. R. Mathew, J.G. Albright, D.G. Miller, and J.A. Rard J. Phys. Chem. 94 1990 6875 6878
94. J.G. Albright, S.M. Gillespie, J.A. Rard, and D.G. Miller J. Chem. Eng. Data 43 1998 668 675
95. J.G. Albright, R. Mathew, and D.G. Miller J. Phys. Chem. 91 1987 210 215
96. O. Annunziata, J.A. Rard, J.G. Albright, L. Paduano, and D.G. Miller J. Chem. Eng. Data 45 2000 936 945
97. J. Fu, L. Paduano, J.A. Rard, J.G. Albright, and D.G. Miller J. Chem. Eng. Data 46 2001 601 608
98. D.G. Leaist, and L. Hao J. Phys. Chem. 97 1993 1464 1469
99. D.G. Leaist, P. Anderson, and J.C. Elliot J. Chem. Soc., Faraday Trans. 86 1990 3093 3095
100. D.G. Leaist, and M.A. Kanakos Phys. Chem. Chem. Phys. 2 2000 1015 1021
101. H. Lu, and D.G. Leaist J. Chem. Soc., Faraday Trans. 87 1991 3667 3670
102. J.P. Mitchell, and J.G. Albright J. Solution Chem. 36 2007 1457 1468
103. D.G. Miller, C.M. Lee, and J.A. Rard J. Solution Chem. 36 2007 1559 1567
104. D.G. Miller, J.G. Albright, R. Mathew, C.M. Lee, J.A. Rard, and L.B. Eppstein J. Phys. Chem. 97 1993 3885 3899
105. D.G. Miller, A.W. Ting, J.A. Rard, and L.B. Eppstein Geochim. Cosmochim. Acta 50 1986 2397 2403
106. J.A. Rard, J.G. Albright, D.G. Miller, and M.E. Zeidler J. Chem. Soc., Faraday Trans. 92 1996 4187 4197
107. J.A. Rard, and D.G. Miller J. Phys. Chem. 91 1987 4614 4620
108. J.A. Rard, and D.G. Miller J. Solution Chem. 19 1990 129 148
109. L. Paduano, R. Mathew, J.G. Albright, D.G. Miller, and J.A. Rard J. Phys. Chem. 93 1989 4366 4370
110. R. Mathew, L. Paduano, J.G. Albright, D.G. Miller, and J.A. Rard J. Phys. Chem. 93 1989 4370 4374
111. J.G. Albright, R. Mathew, D.G. Miller, and J.A. Rard J. Phys. Chem. 93 1989 2176 2180
112. D.G. Leaist Can. J. Chem. 63 1985 2933 2939
113. L. Hao, and D.G. Leaist J. Solution Chem. 24 1995 523 535
114. D.G. Miller, R. Sartorio, L. Paduano, J.A. Rard, and J.G. Albright J. Solution Chem. 25 1996 1185 1211
115. H. Kim J. Chem. Eng. Data 27 1982 255 256
116. D.G. Leaist Electrochim. Acta 33 1988 795 799
117. L. Paduano, V. Vitagliano, C.D. Volpe, and L. Costantino J. Solution Chem. 21 1992 623 634
118. H. Kim, G. Reinfelds, and L.J. Gosting J. Phys. Chem. 77 1973 934 940
119. J. Wu, J.G. Albright, and D.G. Miller J. Phys. Chem. 98 1994 13054 13057
120. M. Tanigaki, K. Kondo, M. Harada, and W. Eguchi J. Phys. Chem. 87 1983 586 591
121. A. Revzin J. Phys. Chem. 76 1972 3419 3429
122. P.J. Dunlop J. Phys. Chem. 63 1959 612 615
123. D.G. Miller, and V. Vitagliano J. Phys. Chem. 90 1986 1706 1717
124. P.J. Dunlop, and L.J. Gosting J. Phys. Chem. 63 1959 86 93
125. P.J. Dunlop, and L.J. Gosting JACS 77 1955 5238 5249
126. H. Fujita, and L.J. Gosting JACS 78 1956 1099 1106
127. I.J. O'Donnell, and L.J. Gosting W.J. Hamer, The Structure of Electrolytic Solutions 1959 John Wiley & Sons, Inc. New York, USA 160 182
128. R.P. Wendt J. Phys. Chem. 66 1962 1279 1288
129. D.G. Miller, and L.B. Eppstein Trans. Am. Geophys. Union 57 1976 1015
130. G.P. Rai, and H.T. Cullinan J. Chem. Eng. Data 18 1973 213 214
131. L. Paduano, R. Sartorio, V. Vitagliano, J.G. Albright, and D.G. Miller J. Phys. Chem. 96 1992 7478 7483
132. K. MacEwan, and D.G. Leaist Phys. Chem. Chem. Phys. 5 2003 3951 3958
133. D.G. Leaist Int. J. Phys. Chem. Ber. Der Bunsen-Ges. 95 1991 117 122
134. O. Annunziata, D.G. Miller, and J.G. Albright J. Mol. Liq. 156 2010 33 37
135. D.G. Leaist J. Chem. Soc., Faraday Trans. 1 83 1987 829 839
136. R.A. Noulty, and D.G. Leaist J. Phys. Chem. 91 1987 1655 1658