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Journal of Porous Media
Factor de Impacto: 1.49 Factor de Impacto de 5 años: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimir: 1091-028X
ISSN En Línea: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v7.i2.10
20 pages

Compositional Variation Considering Diffusion and Convection for a Binary Mixture in a Porous Medium

D. Faruque
Department of Mechanical Engineering, Ryerson University, Toronto, Ontario, Canada
M. Ziad Saghir
Department of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria St., Toronto, ON M5B2K3, Canada
M. Chacha
Department of Mechanical Engineering, Ryerson University, Toronto, Ontario, Canada
K. Ghorayeb
Abingdon Technology Center, Schlumberger, Abingdon, UK


In this article we study the compositional variation in a porous cavity having different aspect ratios, accounting for natural convection and for thermal, pressure, and molecular diffusion for a binary mixture. The momentum equation is represented by Darcy's law and is solved numerically together with the energy equation and the species conservation equation using the control-volume scheme. The binary mixture's density and viscosity, as well as molecular, thermal, and pressure diffusion coefficients, vary with temperature, composition, and, pressure. Various thermal boundary conditions are investigated. In the lateral heating case the Soret effect is found to be weak, whereas in the bottom heating condition the Soret effect is more pronounced. Such findings are also evident when both bottom and lateral heating are combined, as in the third case studied in this article. In the presence of pressure diffusion, the competing effect of the thermal and pressure diffusions affects the compositional variation in the cavity. Darcy number variation also plays an important role in the mixture variation in the cavity, because of the formation of convective cells. It is important to note that the Soret effect is dominant when bottom heating is present and therefore should not be neglected.