Viscous fingering in packed chromatographic columns: Linear stability analysis

Journal of Chromatography A

Volumn 1149, Issue 2, 2007, Pages 254-273

  Rousseaux, G ^a   De Wit, A ^a   Martin, M ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b ESPCI   (France)

Author keywords

Hydrodynamic instability; Linear stability analysis; Liquid chromatography; Porous media; Sample viscosity; Viscous fingering

Indexed keywords

COLUMN CHROMATOGRAPHY; HYDRODYNAMICS; INTERFACES (MATERIALS); LINEAR STABILITY ANALYSIS; LIQUID CHROMATOGRAPHY; POROUS MATERIALS;

HYDRODYNAMIC INSTABILITY; SAMPLE VISCOSITY; VISCOUS FINGERING;

VISCOUS FLOW;

ARTICLE; COLUMN CHROMATOGRAPHY; DIFFUSION COEFFICIENT; FLUID FLOW; GEOMETRY; GROWTH RATE; HYDRODYNAMICS; PARTICLE SIZE; POROSITY; PRIORITY JOURNAL; SPECTRAL SENSITIVITY; VISCOMETRY; VISCOSITY; VISCOUS FINGERING;

CHROMATOGRAPHY, LIQUID; LINEAR MODELS; PARTICLE SIZE; VISCOSITY;

EID: 34247224794     PISSN: 00219673     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chroma.2007.03.056     Document Type: Article

References (93)

1. Tan C.T., and Homsy G.M. Phys. Fluids 29 (1986) 3549
2. Giddings J.C. Unified Separation Science (1991), Wiley-Interscience, New York p. 141
3. Neue U.D., Marchand D.H., and Snyder L.R. J. Chromatogr. A 1111 (2006) 32
4. Hill S. Chem. Eng. Sci. 1 (1952) 247
5. Saffman P.G., and Taylor G. Proc. R. Soc. Lond. Ser. A 245 (1958) 312
6. Homsy G.M. Ann. Rev. Fluid Mech. 19 (1987) 271
7. Hele-Shaw H.S. Trans. Inst. Naval Architects, Lond. 40 (1898) 21
8. In passing it is interesting to note that many field-flow fractionation channels in use today are nothing else than Hele-Shaw cells.
9. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier, New York (Dover, New York, 1988), p. 687
10. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier, New York (Dover, New York, 1988), p. 544
11. Bear J. Dynamics of Fluids in Porous Media (1972), American Elsevier, New York (Dover, New York, 1988), p. 19
12. Flodin P. J. Chromatogr. 5 (1961) 103
13. Altgelt K.H., and Moore J.C. In: Cantow M.J.R. (Ed). Polymer Fractionation (1967), Academic Press, New York 164
14. Collins R.E. Flow of Fluids through Porous Materials (1961), Reinhold Publ. Co., New York p. 196
15. Moore J.C. Sep. Sci. 5 (1970) 723
16. Goetze K.P., Porter R.S., and Johnson J.F. J. Polym. Sci., Part A-2 9 (1971) 2255
17. Duerken J.H., and Hamielec A.E. J. Appl. Polym. Sci. 12 (1968) 2225
18. Little J.N., Waters J.L., Bombaugh K.J., and Pauplis W.J. J. Polym. Sci., Part A-2 7 (1969) 1775
19. Little J.N., Waters J.L., Bombaugh K.J., and Pauplis W. J. Chromatogr. Sci. 9 (1971) 341
20. Rudin A. J. Polym. Sci., Part A-1 9 (1971) 2587
21. Altgelt K.H. In: Giddings J.C., and Keller R.A. (Eds). Advances in Chromatography vol. 7 (1968), Dekker, New York 3
22. Boni K.A., Sliemers F.A., and Stickney P.B. J. Polym. Sci. Part A-2 (1968) 1567
23. Lambert A. Polymer 10 (1969) 213
24. Yau W.W., Malone C.P., and Suchan H.L. Sep. Sci. 5 (1970) 259
25. Janča J. J. Chromatogr. 134 (1977) 263
26. Janča J., and Pokorný S. J. Chromatogr. 148 (1978) 31
27. Janča J., and Pokorný S. J. Chromatogr. 170 (1979) 319
28. Janča J., Pokorný S., Vilenchik L.Z., and Belenkii B.G. J. Chromatogr. 211 (1981) 39
29. Yamamoto S., Nomura M., and Sano Y. J. Chem. Eng. Jpn. 19 (1986) 227
30. Janča J. J. Chromatogr. 170 (1979) 309
31. Chiantore O., and Guaita M. J. Chromatogr. 353 (1986) 285
32. Yau W.W., Kirkland J.J., and Bly D.D. Modern Size-Exclusion Liquid Chromatography (1979), Wiley, New York p. 243
33. Yau W.W., Kirkland J.J., and Bly D.D. Modern Size-Exclusion Liquid Chromatography (1979), Wiley, New York p. 291
34. Snyder L.R., and Kirkland J.J. Introduction to Modern Liquid Chromatography. second ed. (1979), Wiley, New York p. 507
35. Byers C.H., Sisson W.G., DeCarli II J.P., and Carta G. Biotechnol. Prog. 6 (1990) 13
36. Czok M., Katti A.M., and Guiochon G. J. Chromatogr. 550 (1991) 705
37. Cherrak D., Guernet E., Cardot P., Herrenknecht C., and Czok M. Chromatographia 46 (1997) 647
38. Castells R.C., Castells C.B., and Castillo M.A. J. Chromatogr. A 775 (1997) 73
39. Castells C.B., and Castells R.C. J. Chromatogr. A 805 (1998) 55
40. Keunchkarian S., Reta M., Romero L., and Castells C. J. Chromatogr. A 1119 (2006) 20
41. Altgelt K.H. Sep. Sci. 5 (1970) 777
42. Plante L.D., Romano P.M., and Fernandez E.J. Chem. Eng. Sci. 49 (1994) 2229
43. Lightfoot E.N., Athalye A.M., Coffman J.L., Roper D.K., and Root T.W. J. Chromatogr. A 707 (1995) 45
44. Fernandez E.J., Grotegut C.A., Braun G.W., Kirschner K.J., Staudaher J.R., Dickson M.L., and Fernandez V.L. Phys. Fluids 7 (1995) 468
45. Fernandez E.J., Norton T.T., Jung W.C., and Tsavalas J.G. Biotechnol. Prog. 12 (1996) 480
46. Quan Q.S., Rosenfeld A., Root T.W., Klingenberg D.J., and Lightfoot E.N. J. Chromatogr. A 831 (1999) 149
47. Dickson M.L., Norton T.T., and Fernandez E.J. AIChE J. 42 (1997) 409
48. Broyles B.S., Shalliker R.A., Cherrak D.E., and Guiochon G. J. Chromatogr. A 822 (1998) 173
49. Shalliker R.A., Broyles B.S., and Guiochon G. J. Chromatogr. A 865 (1999) 73
50. Catchpoole H.J., Shalliker R.A., Dennis G.R., and Guiochon G. J. Chromatogr. A 1117 (2006) 137
51. Mayfield K.J., Shalliker R.A., Catchpoole H.J., Sweeney A.P., Wong V., and Guiochon G. J. Chromatogr. A 1080 (2005) 124
52. Norton T.T., and Fernandez E.J. Ind. Eng. Chem. Res. 35 (1996) 2460
53. Bird R.B., Stewart W.E., and Lightfoot E.N. Transport Phenomena (1960), Wiley, New York p. 150
54. Jacquard P., and Séguier P. J. Mécaniq. 1 (1962) 367
55. Homsy G.M. In: Guyon E., Nadal J.-P., and Pomeau Y. (Eds). Disorder and Mixing, NATO ASI Series vol. E152 (1988), Kluwer Academic Publishers, Dordrecht 237
56. Scheidegger A.E. The Physics of Flow through Porous Media. third ed. (1974), University of Toronto Press, Toronto pp. 229
57. Bacri J.-C., Salin D., and Yortsos Y.C. C.R. Acad. Sci. Paris, Sér. II 314 (1992) 139
58. Manickham O., and Homsy G.M. Phys. Fluids A 5 (1993) 1356
59. Lin C.C. The Theory of Hydrodynamic Stability (1955), Cambridge University Press p. 1
60. Chandrasekhar S. Hydrodynamic and Hydromagnetic Stability (1981), Dover, New York p. 1
61. Guiochon G., Felinger A., Shirazi D.G., and Katti A.M. Fundamentals of Preparative and Nonlinear Chromatography. second ed. (2006), Elsevier, Amsterdam p. 60
62. Guiochon G., Felinger A., Shirazi D.G., and Katti A.M. Fundamentals of Preparative and Nonlinear Chromatography. second ed. (2006), Elsevier, Amsterdam p. 262
63. Guiochon G., Felinger A., Shirazi D.G., and Katti A.M. Fundamentals of Preparative and Nonlinear Chromatography. seconded. (2006), Elsevier, Amsterdam p. 310
64. Lebon L., Leblond J., and Hulin J.-P. Phys. Fluids 9 (1997) 481
65. Poling B.E., Prausnitz J.M., and O'Connell J.P. The Properties of Gases and Liquids. fifth ed. (2001), McGraw-Hill, Boston p. 9.77
66. Arrhenius S. Zeitschr. physikal. Chem. 1 (1887) 285
67. Arrhenius S. Biochem. J. 11 (1917) 112
68. Crank J. The Mathematics of Diffusion. second ed. (1975), Clarendon Press, Oxford p. 215
69. Crawford Jr. F.S. Waves, Berkeley Physics Course vol. 3 (1968), Education Development Center, Newton (French Edition, Armand Colin, Paris, 1972), p. 58
70. R.L. Chouke, unpublished work, reported in appendix of. Gardner J.W., and Ypma J.G.J. Soc. Petrol. Eng. J. 24 (1984) 508
71. Giddings J.C. Anal. Chem. 35 (1963) 1338
72. Grushka E., Snyder L.R., and Knox J.H. J. Chromatogr. Sci. 13 (1975) 25
73. Weber S.G., and Carr P.W. In: Brown P.R., and Hartwick R.A. (Eds). High Performance Liquid Chromatography (1989), Wiley, New York 1
74. Perkins T.K., and Johnston O.C. Soc. Petrol. Eng. J. 3 (1963) 70
75. Delgado J.M.P.Q. Heat Mass Transfer 42 (2006) 279
76. Martin A.J.P., and Synge R.L.M. Biochem. J. 35 (1941) 1358
77. Giddings J.C. Nature 184 (1959) 357
78. Done J.N., Kennedy G.J., and Knox J.H. In: Perry S.G. (Ed). Gas Chromatography 1972 (1973), Applied Science Publ., Barking, UK 145
79. Knox J.H., Laird G.R., and Raven P.A. J. Chromatogr. 122 (1976) 129
80. Eon C. J. Chromatogr. 149 (1978) 29
81. Tallarek U., Bayer E., and Guiochon G. J. Am. Chem. Soc. 120 (1998) 1494
82. Yortsos Y.C., and Zeybek M. Phys. Fluids 31 (1988) 3511
83. Zimmerman W.B., and Homsy G.M. Phys. Fluids A 4 (1992) 2348
84. De Wit A., Bertho Y., and Martin M. Phys. Fluids 17 (2005) 054114
85. Tan C.T., and Homsy G.M. Phys. Fluids A 4 (1992) 1099
86. Tchelepi H.A., Orr Jr. F.M., Rakotomalala N., Salin D., and Wouméni R. Phys. Fluids A 5 (1993) 1558
87. De Wit A., and Homsy G.M. J. Chem. Phys. 107 (1997) 9609
88. De Wit A., and Homsy G.M. J. Chem. Phys. 107 (1997) 9619
89. Chen C.-Y., and Meiburg E. J. Fluid Mech. 371 (1998) 269
90. C. Chevalier, Ph.D. thesis, Université Pierre et Marie Curie, Paris 6, December 2006.
91. Tanford C. Physical Chemistry of Macromolecules (1961), Wiley, New York p. 390
92. Tanford C. Physical Chemistry of Macromolecules (1961), Wiley, New York p. 407
93. Kurata M., Tsunashima Y., Iwama M., and Kamada K. In: Brandup J., and Immergut E.H. (Eds). Polymer Handbook. second ed. (1975), Wiley, New York p. IV-18.23