Thermogravitational separation in horizontal annular porous cell

Oussama Abahri (1) , Djamel Sadaoui (1) , Kacem Mansouri (2) , Abdelkader Mojtabi (3) , Marie-Catherine Charrier-Mojtabi (4)

1 UB - Université Abderrahmane Mira [Université de Béjaïa] = University Abderrahmane Mira [University of Béjaïa]
2 UMBB - Université M'Hamed Bougara Boumerdes
3 IMFT - Institut de mécanique des fluides de Toulouse
4 UT3 - Université Toulouse III - Paul Sabatier

Thermogravitational separation has until now, been used in different heated vertical cells called thermogravitational columns. The cell can be an annular cavity with two isothermal faces maintained at different temperatures. The main objective of this paper is to study the two dimensional coupled convection with thermodiffusion process. It concerns a theoretical and numerical investigation of species separation in a binary liquid mixture saturating a horizontal porous annulus space where the inner cylinder is heated isothermally. This kind of geometry is used instead of the annular vertical cell, hence the novelty of this technique. Analytical resolution is performed using the perturbation method function of time versus the corresponding physics (Raleigh and Lewis numbers...). Results reveal that the separation can be increased with an optimum for small values of Rayleigh number. Further, these values are less important than the critical value of Raleigh leading to the loss of unicellular flow stability found in literature.

Mots clés: Thermodiffusion; convection; perturbation method; porous medium

Domaines: Mécanique des fluides [physics.class-ph]

Oussama Abahri, Djamel Sadaoui, Kacem Mansouri, Abdelkader Mojtabi, Marie-Catherine Charrier-Mojtabi. Thermogravitational separation in horizontal annular porous cell. Mechanics & Industry, 2017, 18 (1), pp.106. ⟨10.1051/meca/2015115⟩. ⟨hal-01541455⟩