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Boundary conditions at fluid-permeable interfaces in porous media: A variational approach

Journal

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 46, Issue 17, Pages 3150-3164

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.04.008

Keywords

Piecewise diffeomorphisms; Discontinuity surfaces; Hamilton-Rayleigh principle; Boundary conditions at permeable interfaces; Galilean invariance; Porous media

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A general set of boundary conditions at fluid-permeable interfaces between dissimilar fluid-filled porous matrices is established starting from an extended Hamilton-Rayleigh principle. These conditions do include friction and inertial effects. Once linearized, they encompass boundary conditions relative to volume Darcy-Brinkman and to surface Saffman-Beavers-Joseph dissipation effects. (C) 2009 Elsevier Ltd. All rights reserved.

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