Potential flow in the presence of a sudden expansion: Application to capillary driven transport in porous media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 87, Issue 3, 2013, Pages

  Benner, Eric M ^a   Petsev, Dimiter N ^a  

^a MSC01 1070   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC LIMITS; CIRCULAR EXPANSION; FRONT MOTION; STEADY STATE SOLUTION; SUDDEN EXPANSION; THREE DIMENSIONS; TIME DEPENDENCE; TRANSPORT IN POROUS MEDIA;

EXPANSION; LIQUIDS; THREE DIMENSIONAL;

POROUS MATERIALS;

EID: 84875520649     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.87.033008     Document Type: Article

References (25)

1. T. D. Wheeler and A. D. Stroock, Nature 0028-0836 10.1038/nature07226 455, 208 (2008).
2. E. M. Fenton, M. R. Mascarenas, G. P. López, and S. S. Sibbett, ACS Appl. Mater. Interfaces 1944-8244 10.1021/am800043z 1, 124 (2009).
3. A. W. Martinez, S. T. Phillips, and G. M. Whitesides, Anal. Chem. ANCHAM 0003-2700 10.1021/ac9013989 82, 3 (2010).
4. S. Mendez, E. M. Fenton, G. R. Gallegos, D. N. Petsev, S. Sibbett, H. A. Stone, Y. Zhang, and G. P. Lopez, Langmuir LANGD5 0743-7463 10.1021/la902470b 26, 1380 (2010).
5. N. V. Churaev, Liquid and Vapor Flows in Porous Bodies: Surface Phenomena, Topics in Chemical Engineering, edited by, A. Galwey, Vol. 13 (Gordon and Breach, New York, 2000).
6. F. A. L. Dullien, Porous Media: Fluid Transport and Pore Structure (Academic Press, New York, 1979).
7. S. S. D. Julio and W. H. Shallenberger, J. Hazard. Subst. Res. 3, 6-1 (2002).
8. J. Ge, R. Schirhagl, and R. N. Zare, J. Chem. Educ. 0021-9584 10.1021/ed100967j 88, 1283 (2011).
9. J. M. Bell and F. K. Cameron, J. Phys. Chem. JPCHAX 0022-3654 10.1021/j150080a005 10, 658 (1906).
10. R. Lucas, Kolloid Z. 0368-6590 10.1007/BF01461107 23, 15 (1918).
11. E. W. Washburn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.17.273 17, 273 (1921).
12. J. Happel and H. Brenner, Low Reynold's Number Hydrodynamics, in Mechanics of Fluids and Transport Processes, edited by, R. J. Moreau, (Kluwer, Boston, 1983).
13. C. Hall, Build. Environ. 0360-1323 10.1016/0360-1323(81)90014-7 16, 201 (1981).
14. M. A. Wilson, W. D. Hoff, and C. Hall, Build. Environ. 0360-1323 10.1016/0360-1323(94)90058-2 29, 99 (1994).
15. J. R. Philip, in Water in the Unsaturated Zone: Proceedings of the Wageningen Symposium (International Association for Scientific Hydrology/UNESCO, Paris, 1996).
16. J. Xiao, H. A. Stone, and D. Attinger, Langmuir LANGD5 0743-7463 10.1021/la204474f 28, 4208 (2012).
17. J. Hyväluoma, P. Raiskinmäki, A. Jäsberg, A. Koponen, M. Kataja, and J. Timonen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.036705 73, 036705 (2006).
18. J. R. Philip, in Advanecs in Hydroscience, edited by, W. Chou, (Academic Press, New York, 1969), p. 215.
19. R. J. Gummerson, C. Hall, W. D. Heft, R. Hawkes, G. N. Holland, and W. S. Moore, Nature 0028-0836 10.1038/281056a0 281, 56 (1979).
20. B. Lavi, A. Marmur, and J. Bachmann, Langmuir LANGD5 0743-7463 10.1021/la702090x 24, 1918 (2008). (Pubitemid 351500951)
21. E. M. Benner and D. N. Petsev (in preparation).
22. J. O. Wilkes, Fluid Mechanics for Chemical Engineers with Microfluidics and CFD (Prentice Hall, New York, 2006).
23. J. S. Rowlinson and B. Widom, Molecular Theory of Capillarity (Claredon Press, Oxford, 1982).
24. P. H. Moon and D. E. Spencer, Field Theory Handbook: Including Coordinate Systems, Differential Equations and Their Solutions (Springer, New York, 1988).
25. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Elsevier, Amsterdam, 1987).