Homogenization of a polymer flow through a porous medium

DOI10.1016/0362-546X(94)00285-PzbMath0863.76082OpenAlexW2016619384MaRDI QIDQ4886547

Andro Mikelić, Alain Bourgeat

Publication date: 10 June 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00285-p

zbMATH Keywords

uniquenesspower lawCarreau lawfiltration velocitymean pressure gradient

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (16)

Homogenization of incompressible generalized Stokes flows through a porous medium ⋮ Homogenization of an incompressible non-Newtonian flow through a thin porous medium ⋮ Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure ⋮ On the non‐stationary non‐Newtonian flow through a thin porous medium ⋮ Homogenizing the acoustics of cancellous bone with an interstitial non-Newtonian fluid ⋮ Sharp pressure estimates for the Navier-Stokes system in thin porous media ⋮ Homogenization of ferrofluid flow models in porous media with Langevin magnetization law ⋮ Unnamed Item ⋮ Filtration law for power-law fluids in anisotropic porous media ⋮ On an asymptotic expansion for Carreau fluids in porous media ⋮ Application of homogenization theory related to Stokes flow in porous media. ⋮ Homogenization of the Stokes equation with mixed boundary condition in a porous medium ⋮ Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure ⋮ Mathematical derivation of the power law describing polymer flow through a thin slab ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium ⋮ Homogenization of MHD flows in porous media

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