Asymptotic analysis of incompressible and viscous fluid flow through porous media. Brinkman's law via epi-convergence methods

DOI10.5802/afst.639zbMath0628.76093OpenAlexW2333355079MaRDI QIDQ3765484

Alain Brillard

Publication date: 1986

Published in: Annales de la faculté des sciences de Toulouse Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1986-1987_5_8_2_225_0

zbMATH Keywords

asymptotic behaviourBrinkman's lawepi-convergence methods

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (17)

Homogenization of the Stokes Problem With Non-homogeneous Slip Boundary Conditions ⋮ Interfacial boundary conditions between a free domain and thin porous layers for non-Newtonian fluid flows ⋮ Homogenization of the Navier-Stokes equations with a slip boundary condition ⋮ A brief introduction to homogenization and miscellaneous applications ⋮ Asymptotics for dilute emulsions with surface tension ⋮ Asymptotic behaviour of a viscoplastic bingham fluid in porous media with periodic structure ⋮ Homogenization of the Stokes equations with high-contrast viscosity. ⋮ Unnamed Item ⋮ Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions ⋮ Derivation of a contact law between a free fluid and thin porous layers via asymptotic analysis methods ⋮ Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes ⋮ Dilute emulsions with surface tension ⋮ Rate of convergence for a multi-scale model of dilute emulsions with non-uniform surface tension ⋮ Derivation of Darcy's law in randomly perforated domains ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium ⋮ Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes ⋮ Convergence of the pressure in the homogenization of the Stokes equations in randomly perforated domains

Cites Work

• Fluid flow through an array of fixed particles
• Non-homogeneous media and vibration theory
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
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