Effect of solid thermal conductivity and particle-particle contact on effective thermodiffusion coefficient in porous media

Hossein Davarzani (1) , Manuel Marcoux (1) , Michel Quintard (1)

1 IMFT - Institut de mécanique des fluides de Toulouse

Transient mass transfer associated to a thermal gradient through a saturated porous medium is studied experimentally and theoretically to determine the effect of solid thermal conductivity and particle-particle contact on thermodiffusion processes. In this study, the theoretical volume averaging model developed in a previous study has been adopted to determine the effective transport coefficients in the case of particle-particle contact configurations. The theoretical results revealed that the effective thermodiffusion coefficient is independent of the thermal conductivity ratio for pure diffusive cases. In all cases, even if the effective thermal conductivity depends on the particle-particle contact, the effective thermodiffusion coefficient remains independent of the solid phase connectivity. We also found that the porosity can change the impact of dispersion effects on the thermodiffusion coefficients. For large values of the thermal conductivity contrast, dispersion effects are negligible and the effective thermal conductivity coefficients are the same as the ones for the pure diffusion case. Experimental results obtained for the purely diffusive case, using a special two-bulb apparatus, confirm the theoretical results. These results also show that, for non-consolidated porous media made of spheres, the thermal conductivity ratio has no significant influence on the thermodiffusion process for pure diffusion. Finally, the particle-particle contact also does not show a considerable influence on the thermodiffusion process.

Mots clés: Thermodiffusion; Particle-particle contact; Soret effect; Porous media; Two-bulb method; Volume averaging technique

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

Hossein Davarzani, Manuel Marcoux, Michel Quintard. Effect of solid thermal conductivity and particle-particle contact on effective thermodiffusion coefficient in porous media. International Journal of Thermal Sciences, 2011, vol. 50, pp. 2328-2339. ⟨10.1016/j.ijthermalsci.2011.06.016⟩. ⟨hal-00918227⟩