Modeling of flow and mass transport in granular porous media

• Authors: Frank Coutelieris
• Languages of publication: EN

Abstracts

EN

The scope of this work is to estimate the effective mass-transfer coefficient in a two-phase system of oil and water fluid droplets, both being in a porous medium. To this end, a tracer is advected from the flowing aqueous phase to the immobile non-aqueous one. Partitioning at the fluid-fluid interface and surface diffusion are also taken into account. By using spatial/volume-averaging techniques, the appropriately simplified boundary-value problems are described and numerically solved for the flow velocity field and for the transport problem. The problem was found to be controlled by the Peclet number of the flowing phase, the dimensionless parameter Λ, containing both diffusion and partition in the two phases, as well as the geometrical properties of the porous structure. It is also verified that the usually involved unit cell-configurations underestimate the mass transport to the immobile phase.

Keywords

EN

convection; diffusion; mass transfer; multiphase flow; porous media

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 4
• Pages: 962-968

Dates

published

1 - 8 - 2011

online

30 - 4 - 2011

Contributors

author

Frank Coutelieris

• Department of Environmental and Natural Resources Management, University of Ioannina, Seferi 2, 30100, Agrinio, Greece

References

• [1] M. Quintard, S. Whitaker, Adv. Water Resour. 17, 221 (1994) http://dx.doi.org/10.1016/0309-1708(94)90002-7[Crossref]
• [2] R.G. Carbonell, S. Whitaker, In: J. Bear, M.Y. Carpacioglu (Eds.), Fundamentals of Transport Phenomena in Porous Media (Martinus Nijhof Publ., Dordrecht, Netherlands, 1984) 121
• [3] F. Zanotti, R.G. Carbonell, Chem. Eng. Sci. 39, 263 (1984) http://dx.doi.org/10.1016/0009-2509(84)80026-3[Crossref]
• [4] F. Zanotti, R.G. Carbonell, Chem. Eng. Sci. 39, 279 (1984) http://dx.doi.org/10.1016/0009-2509(84)80027-5[Crossref]
• [5] S. Whitaker, AIChE J. 13, 420 (1967) http://dx.doi.org/10.1002/aic.690130308[Crossref]
• [6] M. Quintard, S. Whitaker, Advances in Heat Transfer 23, 369 (1993) http://dx.doi.org/10.1016/S0065-2717(08)70009-1[Crossref]
• [7] M. Quintard, S. Whitaker, Chem. Eng. Sci. 48, 2537 (1993) http://dx.doi.org/10.1016/0009-2509(93)80266-S[Crossref]
• [8] A.C. Lam, R.S. Schechter, W.H. Wade, Soc. Petrol. Eng. J. 23, 781 (1983)
• [9] H. Gvirtzam, N. Paldor, M. Magaritz, Y. Bachmat, Water Resour. Res. 24, 1638 (1988) http://dx.doi.org/10.1029/WR024i010p01638[Crossref]
• [10] A. Ahmadi, M. Quintard, S. Whitaker, Adv. Water Resour. 22, 59 (1998) http://dx.doi.org/10.1016/S0309-1708(97)00032-8[Crossref]
• [11] J.-P. Gwo, R. O’Brien, P.M. Jardine, J. Hydrol. 208, 204 (1998) http://dx.doi.org/10.1016/S0022-1694(98)00161-9[Crossref]
• [12] T. Vogel, H. Gerke, R. Zhang, M.V. Genuchten, J. Hydrol. 238, 78 (2000) http://dx.doi.org/10.1016/S0022-1694(00)00327-9[Crossref]
• [13] G. Dagan, S. Lessoff, Water Resour. Res. 37, 465 (2001) http://dx.doi.org/10.1029/2000WR900225[Crossref]
• [14] S. Lessoff, G. Dagan, Water Resour. Res. 37, 473 (2001) http://dx.doi.org/10.1029/2000WR900226[Crossref]
• [15] P.E. Kechagia, I.N. Tsimpanogiannis, Y.C. Yortsos, P.C. Lichtner, Chem. Eng. Sci. 57, 2565 (2002) http://dx.doi.org/10.1016/S0009-2509(02)00124-0[Crossref]
• [16] F.A. Coutelieris, M.E. Kainourgiakis, A.K. Stubos, E.S. Kikkinides, Y.C. Yortsos, Chem. Eng. Sci. 61, 4650 (2006) http://dx.doi.org/10.1016/j.ces.2006.02.037[Crossref]
• [17] P.M. Adler, C.J. Jacquin, J.A. Quiblier, Int. J. Multiphas. Flow 16, 691 (1990) http://dx.doi.org/10.1016/0301-9322(90)90025-E[Crossref]
• [18] E.S. Kikkinides, V.N. Burganos, Phys. Rev. E. 62, 6906 (2000) http://dx.doi.org/10.1103/PhysRevE.62.6906[Crossref]
• [19] L.M. Sun, M.D. Levan, Chem. Eng. Sci. 50, 163 (1995) http://dx.doi.org/10.1016/0009-2509(94)00184-S[Crossref]
• [20] W.H. Press, B.P. Flanner, S.A. Teukolsky, W.T. Vetterlling, Numerical recipes (Cambridge University Press, Cambridge, UK, 1986)
• [21] A. Ahmadi, A. Aigueperse, M. Quintard, Adv. Water Resour. 24, 423 (2001) http://dx.doi.org/10.1016/S0309-1708(00)00065-8[Crossref]

Identifiers

DOI

10.2478/s11534-010-0111-z