Capillary pressure of a liquid in a layer of close-packed uniform spheres

Physics of Fluids

Volumn 18, Issue 8, 2006, Pages

  Slobozhanin, Lev A ^a   Alexander, J Iwan D ^a   Collicott, Steven H ^b   Gonzalez, S Roberto ^a  

^a Case Western Reserve University   (United States)

^b Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARITY; CONTACT ANGLE; GRAVITATIONAL EFFECTS; SPHERES;

BOND NUMBER; CAPILLARY PRESSURE; CLOSE-PACKED UNIFORM SPHERES; SURFACE EVOLVER CODE;

CAPILLARY FLOW;

CAPILLARITY; CAPILLARY FLOW; CONTACT ANGLE; GRAVITATIONAL EFFECTS; SPHERES;

EID: 33748272133     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2236123     Document Type: Article

References (41)

1. F. E. Hackett and J. S. Strettan, "The capillary pull of an ideal soil," J. Agric. Sci. JASIAB0021-8596 18, 671 (1928).
2. W. B. Haines, "Studies in the physical properties of soil. II. A note on the cohesion developed by capillary forces in an ideal soil," J. Agric. Sci. JASIAB0021-8596 15, 529 (1925).
3. W. B. Haines, "Studies in the physical properties of soil. IV. A further contribution to the theory of capillary phenomena in soil," J. Agric. Sci. JASIAB0021-8596 17, 264 (1927).
4. W. B. Haines, "Studies in the physical properties of soil. V. The hysteresis effect in capillary properties, and the modes of moisture distribution associated therewith," J. Agric. Sci. JASIAB0021-8596 20, 97 (1930).
5. T. Tabuchi, "Experiment on suction drain from an ideal soil," Soil Sci. SOSCAK0038-075X 102, 329 (1966).
6. G. Mason and N. R. Morrow, "Meniscus displacement curvatures of a perfectly wetting liquid in capillary pore throats formed by spheres," J. Colloid Interface Sci. JCISA50021-9797 109, 46 (1986).
7. G. Mason and N. R. Morrow, "Effect of contact angle on capillary displacement curvatures in pore throats formed by spheres," J. Colloid Interface Sci. JCISA50021-979710.1006/jcis.1994.1402 168, 130 (1994).
8. T. X. Lu, J. W. Biggar, and D. R. Nielsen, "Water movement in glass bead porous media. 1. Experiments of capillary rise and hysteresis," Water Resour. Res. WRERAQ0043-1397 30, 3275 (1994).
9. G. Mason, "A model of the pore space in a random packing of equal spheres," J. Colloid Interface Sci. JCISA50021-979710.1016/ 0021-9797(71)90121-4 35, 279 (1971).
10. J. L. Finney, "Random packing and the structure of simple liquids. I. The geometry of random close packing," Proc. R. Soc. London, Ser. A PRLAAZ1364-5021 319, 479 (1970).
11. D. W. Mellor, "Random close packing (RCP) of equal spheres: Structure and implications for use as a model porous medium." Ph.D. thesis, Open University, Milton Keynes, UK, 1989.
12. S. L. Bryant, P. R. King, and D. W. Mellor, "Network model evaluation of permeability and spatial correlation in a real random sphere packing," Transp. Porous MediaTPMEEI0169-391310.1007/ BF00614635 11, 53 (1993).
13. S. L. Bryant, D. W. Mellor, and C. A. Cade, "Physically representative network models of transport in porous media," AIChE J. AICEAC0001-154110.1002/aic.690390303 39, 387 (1993).
14. S. L. Bryant, G. Mason, and D. W. Mellor, "Quantification of spatial correlation in porous media and its effect in mercury porosimetry," J. Colloid Interface Sci. JCISA50021-979710.1006/ jcis.1996.0009 177, 88 (1996).
15. C. A. Cade, I. J. Evans, and S. L. Bryant, "Analysis of permeability controls: A new approach," Clay Miner. CLMIAF0009-8558 29, 491 (1994).
16. S. L. Bryant and M. Blunt, "Prediction of relative permeability in simple porous media," Phys. Rev. APLRAAN1050-294710.1103/ PhysRevA.46.2004 46, 2004 (1992).
17. G. Mason and D. W. Mellor, "Simulation of drainage and imbibition in a random packing of equal spheres," J. Colloid Interface Sci. JCISA50021-9797 176, 214 (1995).
18. S. L. Bryant and A. S. Johnson, "Wetting phase connectivity and irreductible saturation in simple granular media," J. Colloid Interface Sci. JCISA50021-9797 263, 572 (2003).
19. M. Gladkikh and S. Bryant, "Prediction of imbibition in unconsolidated granular materials," J. Colloid Interface Sci. JCISA50021-9797 288, 526 (2005).
20. R. P. Mayer and R. A. Stowe, "Mercury porosimetry-Breakthrough pressure for penetration between packed spheres," J. Colloid Interface Sci. 20, 893 (1965).
21. W. R. Purcell, "Interpretation of capillary pressure data," Petroleum Transactions, AIME 189, 369 (1950).
22. G. Mason and N. R. Morrow, "Meniscus curvatures in capillaries of uniform cross-section," J. Chem. Soc., Faraday Trans. 80, 2375 (1984).
23. K. A. Brakke, "The surface evolver," Exp. Math. ZZZZZZ1058-6458 1, 141 (1992).
24. K. A. Brakke, "The surface evolver and the stability of liquid surfaces," Philos. Trans. R. Soc. London, Ser. A PTRMAD0962-8428 354, 2143 (1996).
25. S. H. Collicott and M. M. Weislogel, "Computing existence and stability of capillary surfaces using Surface Evolver," AIAA J.AIAJAH0001-1452 42, 289 (2004).
26. J. L. Hilden and K. P. Trumble, "Numerical analysis of capillarity in packed spheres: Planar hexagonal-packed spheres," J. Colloid Interface Sci. JCISA50021-979710.1016/S0021-9797(03)00683-0 267, 463 (2003).
27. G. G. Brown, Unit Operations (Wiley, New York, 1950), p. 215.
28. H. Kim, P. S. C. Rao, and M. D. Annable, "Determination of effective air-water interfacial area in partially saturated porous media using surfactant adsorption," Water Resour. Res.WRERAQ0043-1397 33, 2705 (1997).
29. W. S. Jodrey and E. M. Tory, "Computer simulation of isotropic, homogeneous, dense random packing of equal spheres," Powder Technol. POTEBX0032-591010.1016/0032-5910(81)80003-4 30, 111 (1981).
30. J. C. Merlose, "Model calculations for capillary condensation," AIChE J. AICEAC0001-154110.1002/aic.690120526 12, 986 (1966).
31. J. C. Merlose and G. C. Wallick, "Exact geometrical parameters for pendular ring fluid," J. Phys. Chem.JPCHAX0022-3654 71, 3676 (1967).
32. C. N. Schubert, J. R. Linder, and R. M. Kelly, "Experimental methods for measuring static liquid hold up in packed columns," AIChE J. AICEAC0001-1541 32, 1920 (1986).
33. Z.-S. Mao, T.-Y. Xiong, and J. Chen, "Theoretical prediction of static liquid hold-up in trickle bed reactors and comparison with experimental results," Chem. Eng. Sci. CESCAC0009-2509 48, 2697 (1993).
34. Z.-S. Mao, T.-Y. Xiong, R. Wang, and J. Chen, "Note on the thermodynamic stability of pendular rings between solid particles," Chem. Eng. Sci.CESCAC0009-2509 49, 3519 (1994).
35. G. J. Kramer, "Static liquid hold-up and capillary rise in packed beds," Chem. Eng. Sci. CESCAC0009-2509 53, 2985 (1998).
36. A. D. Myshkis, V. G. Babskii, N. D. Kopachevskii, L. A. Slobozhanin, and A. D. Tyuptsov, Low-Gravity Fluid Mechanics (Springer-Verlag, Berlin, 1987).
37. S. R. Gonzalez, "Experimental investigation of capillary phenomena under horizontal oscillations and for static conditions at low Bond numbers," Ph.D. dissertation, Case Western Reserve University, Cleveland, 2005.
38. M. Miyama, Y. Yang, T. Yasuda, T. Okuno, and H. K. Yasuda, "Static and dynamic contact angles of water on polymeric surfaces," Langmuir LANGD50743-7463 13, 5494 (1997).
39. M. Miyama and H. K. Yasuda, "Surface dynamics of plasma polymers studied by the wilhelmy force measurement," Langmuir LANGD50743-7463 14, 960 (1998).
40. 2," J. Colloid Interface Sci. JCISA50021-979710.1006/jcis.1998.5964 211, 28 (1999).
41. G. Mason and N. R. Morrow, "Coexistence of menisci and influence of neighboring pores on capillary displacement curvatures in sphere packing," J. Colloid Interface Sci. JCISA50021-9797 100, 519 (1984).