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Nonsteady Compressible Flow through Anisotropie Porous Mediums with Particular Reference to Snow
Author(s) -
Fan S. S. T.,
Yen YinChao
Publication year - 1968
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr004i003p00597
Subject(s) - compressibility , mechanics , porous medium , dimensionless quantity , ideal gas , porosity , compressible flow , materials science , anisotropy , thermodynamics , snow , flow (mathematics) , boundary layer , geology , geotechnical engineering , geometry , physics , mathematics , meteorology , optics
The equations describing the unsteady flow of air through an anisotropic layer of snow are solved numerically. It has been found that even at a moderate boundary pressure of 2 atmospheres, the penetration of the pressure front becomes appreciably more damped, and the rate of propagation reduces in the case of van der Waal's gas as compared with the case of ideal gas. These differences are more pronounced for pressures of 5 and 50 atmospheres. The results point out the need of caution in making the assumption of ideal gas behavior for dealing with problems of compressible fluid flow through porous mediums. Furthermore, for a medium of variable porosity, the use of a mean dimensionless porosity ϕ ¯ instead of Φ = Φ (ξ) (ξ is the dimensionless depth of the medium) introduces an unrealistically large damping effect on the pressure distribution in the medium.