Nonlinear Brinkman-type law as a critical case in the polymer fluid filtration

DOI10.1080/00036811.2015.1022155zbMath1333.76073OpenAlexW2019704700WikidataQ58170903 ScholiaQ58170903MaRDI QIDQ2795614

Eduard Marušić-Paloka, Tomislav Fratrović

Publication date: 21 March 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1022155

zbMATH Keywords

filtrationhomogenization\(\Gamma\)-convergencedrag force functionBrinkman's lawpolymer fluid

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (2)

Homogenization and singular perturbation in porous media ⋮ Lower-dimensional nonlinear Brinkman's law for non-Newtonian flows in a thin porous medium

Cites Work

• Unnamed Item
• Comparison between Darcy and Brinkman laws in a fracture
• Low-volume-fraction limit for polymer fluids
• Fluid flow through an array of fixed particles
• On the solvability of the Navier-Stokes equations for a compressible non-Newtonian fluid
• Asymptotic analysis of periodically-perforated nonlinear media.
• Homogenization of the equations of dynamics of nematic liquid crystals with inhomogeneous density
• Asymptotics of solutions to boundary layer equations for a generalized Newtonian medium under a close to symmetric external flow
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• 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
• On the Stokes Paradox for Power-Law Fluids
• Finite element formulations for large‐scale, coupled flows in adjacent porous and open fluid domains
• Filtration Law for Polymer Flow Through Porous Media
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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