Effective flow of incompressible micropolar fluid through a system of thin pipes

DOI10.1007/s10440-015-0026-1zbMath1381.76334OpenAlexW2257664550MaRDI QIDQ288368

Igor Pažanin, Michal Beneš

Publication date: 25 May 2016

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-015-0026-1

zbMATH Keywords

asymptotic analysisstrong couplingmicropolar fluidjunction of thin pipesmicropolar Leray problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (17)

Nonzero boundary condition for the unsteady micropolar pipe flow: well-posedness and asymptotics ⋮ Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel ⋮ Leray's problem for the nonstationary micropolar fluid flow ⋮ Three-dimensional flow of a compressible viscous micropolar fluid with cylindrical symmetry: a global existence theorem ⋮ On the filtration of micropolar fluid through a thin pipe ⋮ A thermal fluid-structure interaction problem: modeling, variational and numerical analysis ⋮ Rigorous derivation of the asymptotic model describing a nonsteady micropolar fluid flow through a thin pipe ⋮ Asymptotic analysis of the nonsteady micropolar fluid flow through a curved pipe ⋮ The \(p\)-Laplacian equation in thin domains: the unfolding approach ⋮ Asymptotic approximation of the nonsteady micropolar fluid flow through a circular pipe ⋮ Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties ⋮ Reconstruction of the Pressure in the Method of Asymptotic Partial Decomposition for the Flows in Tube Structures ⋮ Asymptotic analysis of the heat conduction problem in a dilated pipe ⋮ Junction of Models of Different Dimension for Flows in Tube Structures by Womersley-Type Interface Conditions ⋮ A classical approach for the \(p\)-Laplacian in oscillating thin domains ⋮ On the Bingham flow in a thin Y-like shaped structure ⋮ The p-Laplacian in thin channels with locally periodic roughness and different scales*

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