Analysis of matching conditions at the boundary surface of a fluid-saturated porous solid and a bulk fluid: the use of Lagrange multipliers

DOI10.1007/s00161-005-0001-6zbMath1113.76089OpenAlexW1972084426MaRDI QIDQ2501861

Mieczysław Cieszko, Józef Kubik

Publication date: 12 September 2006

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

Full work available at URL: https://doi.org/10.1007/s00161-005-0001-6

zbMATH Keywords

Lagrange multipliersboundary conditionsporous media

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Thermodynamics of continua (80A17)

Related Items (3)

Boundary conditions at fluid-permeable interfaces in porous media: a variational approach ⋮ Macroscopic description of capillary transport of liquid and gas in unsaturated porous materials ⋮ Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

Cites Work

• Unnamed Item
• Unnamed Item
• A macroscopic description of geometrical pore structure of porous solids
• On interfacial transition conditions in two-phase gravity flow
• Method of Lagrange multipliers for exploitation of the entropy principle
• On the Boundary Condition at the Surface of a Porous Medium
• A model for the boundary condition of a porous material. Part 1
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

This page was built for publication: Analysis of matching conditions at the boundary surface of a fluid-saturated porous solid and a bulk fluid: the use of Lagrange multipliers