Homogenization of an incompressible non-Newtonian flow through a thin porous medium

DOI10.1007/s00033-017-0790-zzbMath1365.76006OpenAlexW2595247467WikidataQ58377509 ScholiaQ58377509MaRDI QIDQ2359020

María Anguiano, Francisco Javier Suárez-Grau

Publication date: 27 June 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0790-z

zbMATH Keywords

porous mediumStokes equationnon-Newtonian flowthin fluid filmsdarcy's law

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Thin fluid films (76A20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (14)

The transition between the Navier-Stokes equations to the Darcy equation in a thin porous medium ⋮ Homogenization of Bingham flow in thin porous media ⋮ Roughness‐induced effects on the thermomicropolar fluid flow through a thin domain ⋮ Quasilinear problems with nonlinear boundary conditions in higher-dimensional thin domains with corrugated boundaries ⋮ Theoretical derivation of Darcy's law for fluid flow in thin porous media ⋮ Homogenization of semi-linear optimal control problems on oscillating domains with matrix coefficients ⋮ Sharp pressure estimates for the Navier-Stokes system in thin porous media ⋮ The \(p\)-Laplacian equation in thin domains: the unfolding approach ⋮ On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain ⋮ Homogenization of the Darcy-Lapwood-Brinkman flow in a thin domain with highly oscillating boundaries ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium ⋮ Mathematical modeling of micropolar fluid flows through a thin porous medium ⋮ Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions ⋮ On pressure-driven Hele–Shaw flow of power-law fluids

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