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Degrees of anisotropy for fluid flow and diffusion (electrical conduction) through anisotropic porous media
Author(s) -
Neale Graham
Publication year - 1977
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690230110
Subject(s) - thermal conduction , anisotropy , porous medium , diffusion , fluid dynamics , thermal diffusivity , materials science , mechanics , permeability (electromagnetism) , electrical resistivity and conductivity , flow (mathematics) , anisotropic diffusion , porosity , thermodynamics , chemistry , physics , composite material , optics , membrane , biochemistry , quantum mechanics
This work involves a quantitative comparison between diffusion (or electrical conduction) and fluid flow occurring in the principal directions of certain simple anisotropic porous media, namely, clusters of parallel circular (or elliptic) cylindrical fibers. The degrees to which the observed macroscopic properties, permeability, and effective diffusivity (electrical conductivity) depend upon the direction of flow are determined analytically. Systems of parallel fibers are shown to be considerably more anisotropic with respect to fluid flow than with respect to diffusion (or electrical conduction), this effect being very pronounced with flattish fibers. It would not appear that any general analogy exists between diffusion (electrical conduction) and fluid flow occurring within anisotropic porous media.