On the properties of compressible gas flow in a porous media |
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Authors: | A De Ville |
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Institution: | (1) Department of Mathematics and Statistics, University of Paisley, High Street, PA1 2BE Paisley, Scotland |
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Abstract: | The flow of an adiabatic gas through a porous media is treated analytically for steady one- and two-dimensional flows. The effect on a compressible Darcy flow by inertia and Forchheimer terms is studied. Finally, wave solutions are found which exhibit a cut-off frequency and a phase shift between pressure and velocity of the gas, with the velocity lagging behind the pressure.Nomenclature
A
area of tube for one-dimensional flow
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B
drag coefficient associated with Forchheimer term
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c
speed of sound
- M
Mach number
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p
*
gas pressure
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p
dimensionless gas pressure
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s
coordinate along the axis of tube
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t
*
time variable
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t
dimensionless time variable
- V*
gas velocity in the porous media
- V
dimensionless gas velocity
Greek Letters
ratio of specific heat capacities
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phase angle between gas pressure and velocity for linear waves
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parameter indicating the importance of the inertia term
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viscosity
- p
natural frequency of the porous media
- *
gas density
-
dimensionless gas density
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parameter indicating the importance of the Forchheimer term
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porosity of porous media
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velocity potential
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stream function |
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Keywords: | porous material compressible gas flow waves Darcy flow Forchheimer flow |
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