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A re‐investigation of the low Reynolds number uniform flow past a porous spherical shell
Author(s) -
Hsu H. J.,
Huang L. H.,
Hsieh P. C.
Publication year - 2004
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.393
Subject(s) - laminar flow , reynolds number , mechanics , porosity , poromechanics , stokes flow , flow (mathematics) , porous medium , spherical shell , hele shaw flow , shell (structure) , potential flow , shear stress , materials science , geometry , classical mechanics , geotechnical engineering , physics , mathematics , geology , turbulence , composite material
This work reinvestigates the flow field of a uniform flow past a porous spherical shell based on Song and Huang's (2000) theory of laminar poroelastic media flow with proper boundary conditions. The analytical solution of this study not only indicates viscous effects inside the porous spherical shell, but it also preserves the continuities of tangential velocity and shear stress at the interfaces. The result reveals that as the porosity approaches unity, the flow is entirely comprised of the incident stream; as the porosity approaches zero, the well‐known Stokes' solution of a uniform flow past a sphere with low Reynolds number is obtained. Copyright © 2004 John Wiley & Sons, Ltd.