%0 Journal Article
%T Geodesic network method for flows between two rough surfaces in contact
%+ Institut de mécanique des fluides de Toulouse (IMFT)
%A Plouraboué, Franck
%A Flukiger, Frédérique
%A Prat, Marc
%A Crispel, Pierre
%< avec comité de lecture
%@ 1539-3755
%J Physical Review E : Statistical, Nonlinear, and Soft Matter Physics
%I American Physical Society
%V vol. 73
%P pp. 036305-1
%8 2006
%D 2006
%R 10.1103/PhysRevE.73.036305
%K Geometric percolation
%K Geodesic network
%K Rough surfaces
%K Transport
%K Tightness
%Z Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]Journal articles
%X A discrete network method based on previous asymptotic analysis for computing ﬂuid ﬂows between conﬁned rough surfaces is proposed. This random heterogeneous geodesic network method could be either applied to surfaces described by a continuous random ﬁeld or ﬁnely discretized on a regular grid. This method tackles the difﬁcult problem of ﬂuid transport between rough surfaces in close contact. We describe the principle of the method as well as detail its numerical implementation and performances. Macroscopic conductances are computed and analyzed far from the geometrical percolation threshold. Numerical results are successfully compared with the effective medium approximation, the application of which is also studied analytically.
%G English
%2 https://hal.archives-ouvertes.fr/hal-00959372/document
%2 https://hal.archives-ouvertes.fr/hal-00959372/file/plouraboue_5473.pdf
%L hal-00959372
%U https://hal.archives-ouvertes.fr/hal-00959372
%~ CNRS
%~ UNIV-TLSE3