Mathematical models for fluids with pressure-dependent viscosity flowing in porous media

DOI10.1016/j.ijengsci.2014.11.007zbMath1423.76423OpenAlexW2055886193MaRDI QIDQ1627131

Angiolo Farina, Fabio Rosso, Lorenzo Fusi

Publication date: 22 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.11.007

zbMATH Keywords

filtrationDarcy's lawexact solutionspressure dependent viscosity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Lubrication theory (76D08) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

New analytical solutions for weakly compressible Newtonian Poiseuille flows with pressure-dependent viscosity ⋮ Flow of a class of fluids defined via implicit constitutive equation down an inclined plane: analysis of the quasi-steady regime ⋮ Buckley--Leverett Equation with Viscosities and Relative Permeabilities Depending on Pressure ⋮ Analytical solution of the flow of a Newtonian fluid with pressure-dependent viscosity in a rectangular duct ⋮ Non-isothermal flow of a Bingham fluid with pressure and temperature dependent viscosity ⋮ Investigation of the filtration coefficient of elastic-porous medium at plane deformation ⋮ Viscoelastic fluids with pressure-dependent viscosity; exact analytical solutions and their singularities in Poiseuille flows

Cites Work

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• Global analysis of the flows of fluids with pressure-dependent viscosities
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• Su un problema di frontiera libera connesso a questioni di idraulica
• Fluid Film Lubrication
• Flow of fluids with pressure- and shear-dependent viscosity down an inclined plane
• Homogenization of a generalization of Brinkman's equation for the flow of a fluid with pressure dependent viscosity through a rigid porous solid
• A numerical study of fluids with pressure-dependent viscosity flowing through a rigid porous medium
• Shear behaviour of elastohydrodynamic oil films

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