Journal
TRANSPORT IN POROUS MEDIA
Volume 70, Issue 3, Pages 427-450Publisher
SPRINGER
DOI: 10.1007/s11242-007-9107-6
Keywords
nonlinear pore-fluid flow; deformation-dependent permeability; anisotropic permeability; finite deformations; permeability experiments; polyurethane foam; 3-d finite element simulation
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The present paper proposes a thermodynamically consistent Forchheimer-type filter law for application in macroscopic porous media theories. The constitutive flow equation is thereby capable of describing the essential nonlinearities during 3-d fluid percolation through deformable porous solids. In particular, tortuosity effects, anisotropic properties, and the indispensable influence of finite distortions of the interconnected pore space are accounted for. However, the common shape of a Darcy-type relation is retained by assigning all nonlinearities to a general permeability tensor. Finally, to show the validity and applicability of the proposed formulation, the filter law is correlated with the data of permeability experiments on a high-porosity polyurethane foam and is used in a 3-d finite element analysis to simulate the pneumatic damping properties of the material.
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