Extension of the bifurcation method for diffusion coefficients to porous medium transport

Cédric Descamps (1, 2) , Gerard L. Vignoles (1)

1 LCTS - Laboratoire des Composites Thermostructuraux
2 SPS - Snecma Propulsion Solide

We present an extension of Bartlett's bifurcation method for the approximate computation of multicomponent diffusion coefficients in a gaseous mixture to diffusion in porous media. On behalf of the remark that the bifurcation coefficients Fi are merely proportional to the square root of the molar masses Mi, we state that Knudsen diffusion may also be represented through some bifurcation factor FK. This approximation is tested in a variety of cases, displaying good results except for very light gas species.

Mots clés: diffusion de gaz; milieux poreux; modélisation

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Cédric Descamps, Gerard L. Vignoles. Extension of the bifurcation method for diffusion coefficients to porous medium transport. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, 2000, 328 (6), pp.465-470. ⟨10.1016/S1620-7742(00)00038-6⟩. ⟨hal-00327610⟩