On the interface boundary conditions between two interacting incompressible viscous fluid flows

We consider two incompressible viscous fluid flows interacting through thin non-Newtonian boundary layers of higher Reynolds' number. We study the asymptotic behaviour of the problem, with respect to the vanishing thickness of the layers, using Gamma-convergence methods. We derive general interfacial boundary conditions between the two fluid flows. These boundary conditions are specified for some particular cases including periodic or fractal structures of layers. (C) 2013 Elsevier Inc. All rights reserved.