Effective medium theory expressions for the effective diffusion in chromatographic beds filled with porous, non-porous and porous-shell particles and cylinders. Part I: Theory

Journal of Chromatography A

Volumn 1218, Issue 1, 2011, Pages 32-45

  Desmet, Gert ^a   Deridder, Sander ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

B term; Effective Medium Theory; Longitudinal diffusion; Modelling; Peak parking; Permeability

Indexed keywords

B-TERM; EFFECTIVE MEDIUM THEORIES; LONGITUDINAL DIFFUSION; MODELLING; PEAK PARKING; PERMEABILITY;

CYLINDERS (SHAPES); LIQUID CHROMATOGRAPHY; POROUS MATERIALS;

DIFFUSION IN SOLIDS;

ARTICLE; CALCULATION; DIFFUSION; DIFFUSION COEFFICIENT; ELECTRIC CONDUCTIVITY; GEOMETRY; LIQUID PHASE MICROEXTRACTION; PERMEABILITY; PHYSICAL CHEMISTRY; POROSITY; PRIORITY JOURNAL; THERMAL CONDUCTIVITY;

ALGORITHMS; CHROMATOGRAPHY, LIQUID; DIFFUSION; MODELS, THEORETICAL; PHYSICOCHEMICAL PHENOMENA; POROSITY;

EID: 78650420581     PISSN: 00219673     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chroma.2010.10.087     Document Type: Article

References (47)

1. Knox J.H., Scott H.P. J. Chromatogr. 1983, 282:297.
2. Stout R.W., Destefano J.J., Snyder L.R. J. Chromatogr. 1983, 282:263.
3. Giddings J.C. Dynamics of Chromatography. Part 1 1965, Marcel Dekker, New York.
4. Desmet G., Broeckhoven K., De Smet J., Deridder S., Baron G.V., Gzil P. J. Chromatogr. A 2008, 1188:171.
5. Broeckhoven K., Cabooter D., Lynen F., Sandra P., Desmet G. J. Chromatogr. A 2008, 1188:189.
6. Torquato S. Random Heterogeneous Materials 2002, Springer Science & Business Media, New York.
7. Davis H.T. J. Am. Ceram. Soc. 1977, 60:499.
8. Cussler E.L. Diffusion Mass Transfer in Fluid Systems 1984, Cambridge University Press, Cambridge, UK.
9. Barrande M., Bouchet R., Denoyel R. Anal. Chem. 2007, 79:9115.
10. Gritti F., Leonardis I., Abia J., Guiochon G. J. Chromatogr. A 2010, 1217:3819.
11. F. Gritti, G. Guiochon, AIChE J., doi:10.1002/aic.12280.
12. Maxwell C. Treatise on Electricity and Magnetism 1873, vol. 1. Oxford University Press, London.
13. McPhedran R.C., McKenzie D.R. Proc. R. Soc. Lond. A 1978, 349:45.
14. Sangani A.S., Acrivos A. Proc. R. Soc. Lond. A 1983, 386:263.
15. Torquato S. J. Appl. Phys. 1985, 58:3790.
16. Cheng H., Torquato S. Proc. R. Soc. Lond. A 1997, 453:1331.
17. Sax J., Ottino J.M. Polym. Eng. Sci. 1983, 23:165.
18. Zimmerman C.M., Singh A., Koros W.J. J. Membr. Sci. 1997, 137:145.
19. Hashin Z., Shtrikman S. J. Appl. Phys. 1962, 33:3125.
20. He B., Tait N., Regnier F.E. Anal. Chem. 1998, 70:3790.
21. De Pra M., Kok W.T., Gardeniers J.G.E., Desmet G., Eeltink S., van Nieuwekasteele J.W., Schoenmakers P.J. Anal. Chem. 2006, 78:6519.
22. De Malsche W., Eghbali H., Clicq D., Vangelooven J., Gardeniers H., Desmet G. Anal. Chem. 2007, 79:5915.
23. Miyabe K., Guiochon G. J. Phys. Chem. B 2002, 106:8898.
24. Gritti F., Guiochon G. J. Chromatogr. A 2009, 1216:4752.
25. Knox J.H. J. Chromatogr. Sci. 1977, 15:352.
26. Robinson D.A., Friedman S.P. Physica A 2005, 358:447.
27. Rayleigh L. Philos. Mag. 1892, 34:481.
28. McPhedran R.C., Milton G.W. Appl. Phys. A 1981, 26:207.
29. Miller C.A., Torquato S. J. Appl. Phys. 1990, 68:5486.
30. Jeffrey D.J. Proc. R. Soc. Lond. A 1973, 335:355.
31. Hashin Z. J. Comp. Mater. 1968, 2:284.
32. Landauer R. J. Appl. Phys. 1952, 23:779.
33. Bruggeman D.A.G. Ann. Phys. 1935, 416:636.
34. Crank J. The Mathematics of Diffusion 1975, Clarendon Press, Oxford. 2nd ed.
35. Gritti F., Guiochon G. Chem. Eng. Sci. 2006, 61:7636.
36. Kobayashi H., Tokuda D., Ichimaru J., Ikegami T., Miyabe K., Tanaka N. J. Chromatogr. A 2006, 1109:2.
37. Miyabe K., Matsumato Y., Guiochon G. Anal. Chem. 2007, 79:1970.
38. Gritti F., Guiochon G. Anal. Chem. 2006, 78:5329.
39. Gritti F., Cavazzini A., Marchetti N., Guiochon G. J. Chromatogr. A 2007, 1157:289.
40. Suzuki M., Smith J.M. Chem. Eng. J. 1972, 3:256.
41. Comiti J., Renaud M. Chem. Eng. Sci. 1989, 44:1539.
42. Wackao N., Smith J.M. Chem. Eng. Sci. 1962, 17:825.
43. Miyabe K., Ando N., Guiochon G. J. Chromatogr. A 2009, 1216:4377.
44. Cavazzini A., Gritti F., Kaczmarski K., Marchetti N., Guiochon G. Anal. Chem. 2007, 79:5972.
45. Miyabe K., Guiochon G. Anal. Chem. 2000, 72:5162.
46. Miyabe K., Ando M., Ando N., Guiochon G. J. Chromatogr. A 2008, 1210:60.
47. Torquato S., Stell G., Beasley J. Int. J. Eng. Sci. 1985, 23:385.