Plouraboué, Franck and Flukiger, Frédérique and Prat, Marc and Crispel, P. Geodesic network method for flows between two rough surfaces in contact. (2006) Physical Review E (PRE), vol. 73 (n° 3). pp. 036305-1.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.73.036305
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.
|Additional Information:||Thanks to the American Physical Society. The definitive version is available at http://publish.aps.org/. The original PDF of the article can be found at Physical Review E website : http://pre.aps.org/abstract/PRE/v73/i3/e036305|
|Audience (journal):||International peer-reviewed journal|
|Institution:||French research institutions > Centre National de la Recherche Scientifique - CNRS|
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
|Deposited By:||Franck PLOURABOUE|
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