Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Influence of nonideal mixing properties on viscous fingering in micropillar array columns

F. Haudin1, M. Callewaert2, W. De Malsche2, and A. De Wit1

  • 1Université libre de Bruxelles (ULB), Nonlinear Physical Chemistry Unit, CP 231, Faculté des Sciences, 1050 Brussels, Belgium
  • 2Department of Chemical Engineering, Vrije Universiteit Brussel (VUB), Pleinlaan 2, 1050 Brussels, Belgium

Phys. Rev. Fluids 1, 074001 – Published 1 November, 2016

DOI: https://doi.org/10.1103/PhysRevFluids.1.074001

Abstract

Miscible viscous fingering is studied experimentally in the presence of a nonmonotonic viscosity profile due to nonideal mixing properties in a porous medium consisting in a micropillar array column used for chromatographic applications. In this setup, a mobile phase composed of an aqueous solution of methanol displaces a miscible finite-size sample containing mainly water. Due to a local buildup by nonideal mixing of maxima in the viscosity profile, fingering is observed at both the frontal and rear miscible interfaces of the sample phase, however with different spatial extents. The influence on the fingering dynamics of the pressure in the column and of the viscosity of the mobile or sample phases is analyzed.

Physics Subject Headings (PhySH)

Article Text

References (39)

  1. G. M. Homsy, Viscous fingering in porous media, Annu. Rev. Fluid Mech. 19, 271 (1987).
  2. P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. R. Soc. London Ser. A 245, 312 (1958).
  3. P. Bunton, D. Martin, S. Stewart, E. Meiburg, and A. De Wit, Schlieren imaging of viscous fingering in a horizontal Hele-Shaw cell, Exp. Fluids 57, 28 (2016).
  4. R. Maes, G. Rousseaux, B. Scheid, M. Mishra, P. Colinet, and A. De Wit, Experimental study of dispersion and miscible viscous fingering of initially circular samples in Hele-Shaw cells, Phys. Fluids 22, 123104 (2010).
  5. C. T. Tan and G. M. Homsy, Stability of miscible displacements in porous media: Rectilinear flow, Phys. Fluids 29, 3549 (1986).
  6. C. T. Tan and G. M. Homsy, Simulations of nonlinear viscous fingering in miscible displacement, Phys. Fluids 31, 1330 (1988).
  7. L. A. Riolfo, Y. Nagatsu, S. Iwata, R. Maes, P. M. J. Trevelyan, and A. De Wit, Experimental evidence of reaction-driven miscible viscous fingering, Phys. Rev. E 85, 015304(R) (2012).
  8. S. H. Hejazi, P. M. J. Trevelyan, J. Azaiez, and A. De Wit, Viscous fingering of a miscible reactive A+BC interface: a linear stability analysis, J. Fluid Mech. 652, 501 (2010).
  9. Y. Nagatsu and A. De Wit, Viscous fingering of a miscible reactive A+BC interface for an infinitely fast chemical reaction: Nonlinear simulations, Phys. Fluids 23, 043102 (2011).
  10. F. Haudin, J. H. E. Cartwright, F. Brau, and A. De Wit, Spiral precipitation patterns in confined chemical gardens, Proc. Natl. Acad. Sci. USA 111, 17363 (2014).
  11. Y. Nagatsu, Y. Ishii, Y. Tada, and A. De Wit, Hydrodynamic Fingering Instability Induced by a Precipitation Reaction, Phys. Rev. Lett. 113, 024502 (2014).
  12. P. Shukla and A. De Wit, Fingering dynamics driven by a precipitation reaction: Nonlinear simulations, Phys. Rev. E 93, 023103 (2016).
  13. H. Tang, W. Grivas, D. Homentcovschi, J. Geer, and T. Singler, Stability Considerations Associated with the Meniscoid Particle Band at Advancing Interfaces in Hele-Shaw Suspension Flows, Phys. Rev. Lett. 85, 2112 (2000).
  14. CRC Handbook of Chemistry and Physics, 92nd ed., edited by W. M. Haynes (CRC, Boca Raton, 2011).
  15. J. B. Irving, Viscosities of Binary Liquid Mixtures: The Effectiveness of Mixture Equations, Vol. 631 (National Engineering Laboratory, Great Britain, 1977).
  16. M. Moha-Ouchane, C. Bone, A. Allal, and M. Benseddik, Viscosity and excess volume at high pressures in associative binaries, Int. J. Thermophys. 19, 161 (1998).
  17. G. Orsi, M. Roudgar, E. Brunazzi, C. Galletti, and R. Mauri, Water-ethanol mixing in T-shaped microdevices, Chem. Eng. Sci. 95, 174 (2013).
  18. D. G. Grubb and N. Sitar, Horizontal ethanol floods in clean, uniform, and layered sand packs under confined conditions, Water Resour. Res. 11, 3291 (1999).
  19. A. J. Alpert, Hydrophilic-interaction chromatography for the separation of peptides, nucleic acids and other polar compounds, J. Chromatogr. A 499, 177 (1990).
  20. C. Horváth, W. Melander, and I. Molnár, Solvophobic interactions in liquid chromatography with nonpolar stationary phases, J. Chromatogr. A 125, 129 (1976).
  21. T. C. Harmon, T.-J. Kim, B. K. Dela Barre, and C. V. Chrysikopoulos, Cosolvent-water displacement in one-dimensional soil column, J. Environm. Eng. 125, 87 (1999).
  22. B. P. Stafford, N. L. Cápiro, P. J. J. Alvarez, and W. G. Rixey, Pore water characteristics following a release of neat ethanol onto pre-existing NAPLs, Ground Water Monit. Remediat. 29, 93 (2009).
  23. R. Farajzadeh, Simulation of instabilities and fingering in surfactant alternating gas (SAG) foam enhanced oil recovery, Proceedings of the SPE Reservoir Simulation Symposium (Society of Petroleum Engineers, Richardson, 2015), paper SPE-173193-MS.
  24. W. R. Rossen, Numerical challenges in foam simulation: A review, Proceedings of the 14th European Conference on Mathematics in Oil Recovery (Society of Petroleum Engineers, Richardson, 2013), paper SPE 16624432.
  25. E. D. Chikhliwala, A. B. Huang, and Y. C. Yortsos, Numerical study of the linear stability of immiscible displacement processes in porous media, Transp. Porous Media 3, 257 (1988).
  26. F. J. Hickernell and Y. C. Yortsos, Linear stability of miscible displacement processes in porous media in the absence of dispersion, Stud. Appl. Math. 74, 93 (1986).
  27. J.-C. Bacri, N. Rakotomalala, D. Salin, and R. Wouméni, Miscible viscous fingering: Experiments versus continuum approach, Phys. Fluids A 4, 1611 (1992).
  28. J.-C. Bacri, D. Salin, and Y. C. Yortsos, Analyse linéaire de la stabilité de l'écoulement de fluides miscibles en milieux poreux, C. R. Acad. Sci. Paris 314, 139 (1992).
  29. D. Loggia, D. Salin, and Y. C. Yortsos, A note on the effect of dispersion on the stability of non-monotonic mobility profiles in porous media, Phys. Fluids 10, 747 (1998).
  30. O. Manickam and G. M. Homsy, Stability of miscible displacements in porous media with nonmonotonic viscosity profiles, Phys. Fluids 5, 1356 (1993).
  31. C. Pankiewitz and E. Meiburg, Miscible porous media displacements in the quarter five-spot configuration. Part 3. Non-monotonic viscosity profiles, J. Fluid Mech. 388, 171 (1999).
  32. A. L. G. A. Coutinho and J. L. D. Alves, Finite element simulation of nonlinear viscous fingering in miscible displacements with anisotropic dispersion and nonmonotonic viscosity profiles, Comput. Mech. 23, 108 (1999).
  33. O. Manickam and G. M. Homsy, Simulation of viscous fingering in miscible displacements with nonmonotonic viscosity profiles, Phys. Fluids 6, 95 (1994).
  34. D. Schafroth, N. Goyal, and E. Meiburg, Miscible displacements in Hele-Shaw cells: Nonmonotonic viscosity profiles, Eur. J. Mech. B 26, 444 (2007).
  35. W. De Malsche, J. Op De Beeck, H. Gardeniers, and G. Desmet, Visualization and quantification of the onset and the extent of viscous fingering in micro-pillar array columns, J. Chromatogr. A 1216, 5511 (2009).
  36. M. Callewaert, J. Op De Beeck, K. Maeno, C. Sukas, H. Thienpont, H. Ottevaere, H. Gardeniers, G. Desmet, and W. De Malsche, Integration of uniform porous shell layers in very long pillar array columns using electrochemical anodization for liquid chromatography, Analyst 139, 618 (2014).
  37. J. Op De Beeck, M. Callewaert, H. Ottevaere, H. Gardeniers, G. Desmet, and W. De Malsche, On the advantages of radially elongated structures in microchip-based liquid chromatography, Anal. Chem. 85, 5207 (2013).
  38. R. A. Shalliker, H. J. Catchpoole, G. R. Dennis, and G. Guiochon, Visualising viscous fingering in chromatography columns: High viscosity solute plug, J. Chromatogr. A 1142, 48 (2007).
  39. A. De Wit, Y. Bertho, and M. Martin, Viscous fingering of miscible slices, Phys. Fluids 17, 054114 (2005).

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation