Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium

DOI10.1007/s00161-017-0603-9zbMath1392.76073OpenAlexW2767510199MaRDI QIDQ1655446

Michal Beneš, Igor Pažanin

Publication date: 9 August 2018

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-017-0603-9

zbMATH Keywords

error estimatesasymptotic approximationthin pipeDarcy-Brinkman-Boussinesq modelNewton cooling condition

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (5)

Rigorous derivation of the asymptotic model describing a steady thermomicropolar fluid flow through a curvilinear channel ⋮ Asymptotic analysis of the heat conduction problem in a dilated pipe ⋮ Asymptotic solution for the Darcy-Brinkman-Boussinesq flow in a pipe with helicoidal shape ⋮ On the Bingham flow in a thin Y-like shaped structure ⋮ Asymptotic analysis of the thermomicropolar fluid flow through a thin channel with cooling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogenization of degenerate coupled fluid flows and heat transport through porous media
• Solutions of the Navier-Stokes equations with various types of boundary conditions
• Comparison between Darcy and Brinkman laws in a fracture
• On the effects of curved geometry on heat conduction through a distorted pipe
• Boundary layer associated with the Darcy-Brinkman-Boussinesq model for convection in porous media
• Fluid flow through an array of fixed particles
• Fluid flow through a helical pipe
• Modelling of heat transfer in a laminar flow through a helical pipe
• Solutions fortes et comportement asymptotique pour un modèle de convection naturelle en milieu poreux. (Strong solutions and asymptotic behaviour for a natural convection problem in porous media)
• On the asymptotics of the fluid flow past an array of fixed obstacles
• A perturbation-based analysis to investigate forced convection in a porous saturated tube.
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Computations with finite element methods for the Brinkman problem
• Analytical approach to the Darcy-Lapwood-Brinkman equation
• A New Divergence-Free Interpolation Operator with Applications to the Darcy–Stokes–Brinkman Equations
• Couplage des équations de Navier-Stokes et de la chaleur : le modèle et son approximation par éléments finis
• Convection in Porous Media
• Non-isothermal fluid flow through a thin pipe with cooling
• Lp estimates of solutions tomixed boundary value problems for the Stokes system in polyhedral domains
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
• The effects of flexion and torsion on a fluid flow through a curved pipe

This page was built for publication: Rigorous derivation of the effective model describing a non-isothermal fluid flow in a vertical pipe filled with porous medium