NONSTEADY ONE DIMENSIONAL COMPRESSIBLE FLUID FLOW THROUGH ANISOTROPIC POROUS MEDIA.

The flow of a compressible fluid through a deep layer of a porous medium with non-uniform permeability was analyzed. The volumetric behavior of the fluid was described first by the perfect gas law, then by the van der Waal's equation of state. Darcy's law was assumed to be valid. For illus...

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Bibliographic Details
Main Authors: Fan,S. S. T., Yen,Yin-Chao
Other Authors: COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER N H
Format: Text
Language:English
Published: 1968
Subjects:
Online Access:http://www.dtic.mil/docs/citations/AD0681211
http://oai.dtic.mil/oai/oai?&verb=getRecord&metadataPrefix=html&identifier=AD0681211
Description
Summary:The flow of a compressible fluid through a deep layer of a porous medium with non-uniform permeability was analyzed. The volumetric behavior of the fluid was described first by the perfect gas law, then by the van der Waal's equation of state. Darcy's law was assumed to be valid. For illustration, the model of air flowing through a deep bed of naturally compacted snow was used to carry out numerical computation. The permeability of snow was considered as a function of depth. The nonlinear partial differential equation obtained by combining the continuity equation with Darcy's law was solved by finite difference technique. A time dependent exponential decay boundary condition was used which included the step-rise constant boundary condition as a limiting case. Pressure distributions in the porous medium calculated from the assumption of ideal gas and van der Waal's gas were compared. The data were presented in dimensionless variables. (Author)