Rigorous derivation of the Darcy boundary condition on the porous wall
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Publication:6143598
DOI10.1002/mma.9166zbMath1530.35017OpenAlexW4322762373MaRDI QIDQ6143598
Publication date: 5 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9166
PDEs in connection with fluid mechanics (35Q35) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50) Flows in porous media; filtration; seepage (76S99)
Cites Work
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- Étude d'un fluide traversant une paroi perforée. I: Comportement limite près de la paroi. (Study of a fluid crossing a perforated sieve. I: Limit behavior near the sieve)
- Non-homogeneous media and vibration theory
- Effective interface conditions for the forced infiltration of a viscous fluid into a porous medium using homogenization
- Effective pressure boundary condition for the filtration through porous medium via homogenization
- Effects of boundary roughness and inertia on the fluid flow through a corrugated pipe and the formula for the Darcy-Weisbach friction coefficient
- Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
- Mathematical Modelling and Numerical Simulation of a Non-Newtonian Viscous Flow through a Thin Filter
- LOW CONCENTRATION LIMIT FOR A FLUID FLOW THROUGH A FILTER
- Boundary conditions for stokes flows near a porous membrane
- Écoulement non newtonien à travers un filtre mince
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Effective Fluid Behavior in Domain with Rough Boundary and the Darcy--Weisbach Law
- High-order approximations for an incompressible viscous flow on a rough boundary
- Stokes flow singularity at the junction between impermeable and porous walls
- Dirichlet vs Neumann
- On the roughness-induced effective boundary conditions for an incompressible viscous flow
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