A porous cavity filled with methane (C1), -butane , and dodecane (C12) at a pressure of is used to investigate numerically the flow interaction due to the presence of thermodiffusion and buoyancy forces. A lateral heating condition is applied with the left wall maintained at and the right wall at . The molecular diffusion and thermal diffusion coefficients are functions of temperature, concentration, and viscosity of mixture components. It has been found that for permeability below the thermodiffusion is dominant; and above this level, buoyancy convection becomes the dominant mechanism. The variation of viscosity plays an important role on the molecular and thermal diffusion.
1.
Ludwig
, C.
, 1856, Sitzber. Akad. Wiss. Vien Math.-Naturw.
, 20
, p. 539
.2.
Soret
, C.
, 1880, “Influence de la Temperature sur la Distribution des sels dans leurs Solutions
,” Acad. Sci., Paris, C. R.
0001-4036, 91
, pp. 289
–291
.3.
de Groot
, S. R.
, and Mazur
, P.
, 1984, Non-Equilibrium Thermodynamics
, Dover
, New York
.4.
Leahy-Dios
, A.
, Bou-Ali
, M.
, Platten
, J. K.
, and Firoozabadi
, A.
, 2005, “Measurements of Molecular and Thermal Diffusion Coefficients in Ternary Mixtures
,” J. Chem. Phys.
0021-9606, 122
(23
), p. 234502
.5.
Haugen
, K. B.
, and Firoozabadi
, A.
, 2005, “On Measurement of Thermal Diffusion Coefficients in Multicomponent Mixtures
,” J. Chem. Phys.
0021-9606, 122
(1
), p. 014516
.6.
Platten
, J. K.
, 2006, “The Soret Effect: A Review of Recent Experimental Results
,” ASME J. Appl. Mech.
0021-8936, 73
, pp. 5
–15
.7.
Costeseque
, P.
, Pollak
, T.
, Platten
, J. K.
, and Marcoux
, M.
, 2004, “Simultaneous Evaluation of Soret and Fick Coefficients in a Free and a Packed Vertical Gradient Soret Cell
,” Sixth International Meeting on Thermodiffusion
, IMT6
, Varenna, Italy
.8.
Riley
, M. F.
, and Firoozabadi
, A.
, 1998, “Compositional Variation in Hydrocarbon Reservoirs With Natural Convection and Diffusion
,” AIChE J.
0001-1541, 44
(2
), pp. 452
–464
.9.
Delware
, F.
, Chacha
, M.
, Ghoraye
, K.
, and Saghir
, M. Z.
, 2004, “Compositional Variation Considering Diffusion and Convection for Binary Mixture in Porous Media
,” J. Porous Media
1091-028X, 7
(2
), pp. 1
–19
.10.
Firoozabadi
, A.
, Ghorayeb
, K.
, and Shukla
, K.
, 2000, “Theoretical model of Thermal Diffusion Factors in Multicomponent Mixtures
,” AIChE J.
0001-1541, 46
(5
), pp. 892
–900
.11.
Jiang
, C. G.
, Jaber
, T. J.
, Batalle
, H.
, and Saghir
, M. Z.
, 2008, “Simulation of Ludwig-Soret Effect of a Water-Ethanol Mixture in a Cavity Filled With Aluminum Oxide Powder Under High Pressure
,” Int. J. Therm. Sci.
1290-0729, 47
(2
), pp. 126
–135
.12.
Pan
, S.
, Yan
, Y.
, Jaber
, T. J.
, Kawaji
, M.
, and Saghir
, M. Z.
, 2007, “The Evaluation of Thermal Diffusion Models for Ternary Hydrocarbon Mixture
,” J. Non-Equilib. Thermodyn.
0340-0204, 32
(3
), pp. 1
–9
.13.
Taylor
, R.
, and Krishna
, R.
, 1993, Multicomponent Mass Transfer
, Wiley
, New York
.14.
Lohrenz
, J.
, Bray
, B. G.
, Aime
, M.
, and Clark
, C. R.
, 1964, “Calculation of Viscosities of Reservoir Fluids From Their Compositions
,” J. Pet. Technol.
0022-3522, 16
, pp. 1171
–1176
.15.
Jossi
, J. A.
, Stiel
, L. I.
, and Thodos
, G.
, 1962, “The Viscosity of Pure Substances in the Dense Gaseous and Liquid Phases
,” AIChE J.
0001-1541, 8
(1
), pp. 59
–63
.16.
Benano-Melly
, L. B.
, Caltagirone
, J. P.
, Faissat
, B.
, Montel
, F.
, and Costeseque
, P.
, 2001, “Modeling Soret Coefficient Measurement Experiments in Porous Media Considering Thermal and Solutal Convection
,” Int. J. Heat Mass Transfer
0017-9310, 44
(7
), pp. 1285
–1297
.Copyright © 2008
by American Society of Mechanical Engineers
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