Quantifying transport within a porous medium over a hierarchy

Physics of Fluids

Volumn 18, Issue 3, 2006, Pages

  Holland, D J ^a   Scheven, U M ^b   Middelberg, A P J ^c   Gladden, L F ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Diffusion; Disperse systems; Flow through porous media; flow visualisation; Fluidised beds; Mixing; Multiphase flow; Nuclear magnetic resonance; Porosity; Porous materials

Indexed keywords

DIFFUSION; FLOW VISUALIZATION; FLUIDIZED BEDS; MIXING; MULTIPHASE FLOW; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; POROSITY; TRANSPORT PROPERTIES;

DISPERSE SYSTEMS; FLOW THROUGH POROUS MEDIA;

POROUS MATERIALS;

DIFFUSION; FLOW VISUALIZATION; FLUIDIZED BEDS; MIXING; MULTIPHASE FLOW; NUCLEAR MAGNETIC RESONANCE SPECTROSCOPY; POROSITY; POROUS MATERIALS; TRANSPORT PROPERTIES;

EID: 33645470136     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2179099     Document Type: Article

References (29)

1. G. I. Taylor, "Dispersion of soluble matter flowing freely through a tube," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 219, 186 (1953).
2. H. A. Deans and L. Lapidus, "A computational model for predicting and correlating the behavior of fixed bed reactors; I. Derivation of model for nonreacting systems," AIChE J.AICEAC0001-1541 6, 656 (1960).
3. P. G. Saffman, "A theory of dispersion in a porous medium," J. Fluid Mech.JFLSA70022-1120 6, 321 (1959).
4. O. Pfannkuch, "Contribution a l'etude des displacements de fluides miscible dans un milieu poreux," Rev. Inst. Fr. Pet. Ann. Combust. Liq.RIFPA90370-5552 18, 215 (1963).
5. S. G. Harding and H. Baumann, "Nuclear magnetic resonance studies of solvent flow through chromatographic columns: Effect of packing density on flow patterns," J. Chromatogr., AJCRAEY0021-9673 905, 19 (2001).
6. D. J. Holland, A. J. Sederman, M. D. Mantle, L. F. Gladden, and A. P. J. Middelberg, "Quantitative magnetic resonance imaging of urea and lysozyme in protein chromatography," J. Chromatogr., AJCRAEY0021-9673 1033, 311 (2004).
7. K. C. E. Ostergren and C. Tragardh, "Modelling and analysis of axial flow through and compression of a non-rigid chromatographic bed," Chem. Eng. J.CMEJAJ0300-9467 72, 153 (1999).
8. Q. S. Yuan, A. Rosenfeld, T. W. Root, D. J. Klingenberg, and E. N. Lightfoot, "Flow distribution in chromatographic columns," J. Chromatogr., AJCRAEY0021-9673 831, 149 (1999).
9. E. O. Stejskal and J. E. Tanner, "Spin diffusion measurements: Spin echoes in the presence of a time-dependent field gradient," J. Chem. Phys.JCPSA60021-960610.1063/1.1695690 42, 288 (1965).
10. R. M. Cotts, M. J. R. Hoch, T. Sun, and J. T. Markert, "Pulsed field gradient stimulated echo methods for improved NMR diffusion measurements in heterogeneous systems," J. Magn. Reson.JOMRA40022-2364 83, 252 (1989).
11. E. Baumeister, U. Klose, K. Albert, E. Bayer, and G. Guiochon, "Determination of the apparent transverse and axial-dispersion coefficients in a chromatographic column by pulsed field gradient nuclear magnetic resonance," J. Chromatogr., AJCRAEY0021-9673 694, 321 (1995).
12. U. Tallarek, D. van Dusschoten, H. Van As, E. Bayer, and G. Guiochon, "Study of transport phenomena in chromatographic columns by pulsed field gradient NMR," J. Phys. Chem. BJPCBFK1089-564710.1021/ jp980250q 102, 3486 (1998).
13. U. M. Scheven and P. N. Sen, "Spatial and temporal coarse graining for dispersion in randomly packed spheres," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.89.254501 89, 254-501 (2002).
14. U. Tallarek, K. Albert, E. Bayer, and G. Guiochon, "Measurement of transverse and axial apparent dispersion coefficients in packed beds," AIChE J.AICEAC0001-1541 42, 3041 (1996).
15. J. D. Seymour and P. T. Callaghan, "Generalized approach to NMR analysis of flow and dispersion in porous media," AIChE J.AICEAC0001-154110.1002/aic.690430817 43, 2096 (1997).
16. R. S. Maier, D. M. Kroll, R. S. Bernard, S. E. Howington, J. F. Peters, and H. T. Davis, "Enhanced dispersion in cylindrical packed beds," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428 360, 497 (2002).
17. R. N. Keener, J. E. Maneval, K. C. E. Ostergren, and E. J. Fernandez, "Mechanical deformation of compressible chromatographic columns," Biotechnol. Prog.BIPRET8756-7938 18, 587 (2002).
18. D. Kandhai, D. Hlushkou, A. G. Hoekstra, P. M. A. Sloot, H. Van As, and U. Tallarek, "Influence of stagnant zones on transient and asymptotic dispersion in macroscopically homogeneous porous media," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.88.234501 88, 234-501 (2002).
19. P. T. Callaghan, Principles of Nuclear Magnetic Resonance Microscopy (Clarendon, Oxford, 1991).
20. J. Karger and W. Heink, "The propagator representation of molecular transport in microporous crystallites," J. Magn. Reson. JOMRA40022-2364 51, 1 (1983).
21. U. Tallarek, F. J. Vergeldt, and H. Van As, "Stagnant mobile phase mass transfer in chromatographic media: Intraparticle diffusion and exchange kinetics," J. Phys. Chem. BJPCBFK1089-564710.1021/ jp990828b 103, 7654 (1999).
22. R. P. W. Scott, Liquid Chromatography Column Theory (Wiley, Chichester, 1992).
23. J. E. Tanner, "Use of the stimulated echo in NMR diffusion studies," J. Chem. Phys.JCPSA60021-960610.1063/1.1673336 52, 2523 (1970).
24. U. M. Scheven, J. G. Seland, and D. G. Cory, "NMR propagator measurements on flow through a random pack of porous glass beads and how they are affected by dispersion, relaxation, and internal field inhomogeneities," Phys. Rev. EPLEEE81063-651X10.1103/ PhysRevE.69.021201 69, 021201 (2004).
25. B. Manz, P. Alexander, and L. F. Gladden, "Correlations between dispersion and structure in porous media probed by nuclear magnetic resonance," Phys. FluidsPHFLE61070-663110.1063/1.869876 11, 259 (1999).
26. A. A. Khrapichev and P. T. Callaghan, "Spatial dependence of dispersion," Magn. Reson. ImagingMRIMDQ0730-725X 21, 373 (2003).
27. S. Stapf, "NMR investigations of correlations between longitudinal and transverse displacements in flow through random structured media" Chem. Phys.CMPHC20301-0104 284, 369 (2002).
28. G. Guiochon, "Preparative liquid chromatography," J. Chromatogr., AJCRAEY0021-9673 965, 129 (2002).
29. J. Crank, The Mathematics of Diffusion, 2nd ed. (Clarendon, Oxford, 1975).