Modeling of gas transport in porous medium: Stochastic simulation of the Knudsen gas and a kinetic model with homogeneous scatterer
Mass transport of the Knudsen gas in a porous medium is investigated on the basis of the kinetic theory of gases. First, the mass flow conductance is computed numerically for various porosities and solid grain sizes by stochastic particle simulations (SPS). Then, a kinetic model with a homogeneous s...
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| Veröffentlicht in: | Physics of fluids (1994) 2020-10, Vol.32 (10) |
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| container_title | Physics of fluids (1994) |
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| creator | Takata, Shigeru Hatakenaka, Kisho Hattori, Masanari Kasahara, Fumiyoshi |
| description | Mass transport of the Knudsen gas in a porous medium is investigated on the basis of the kinetic theory of gases. First, the mass flow conductance is computed numerically for various porosities and solid grain sizes by stochastic particle simulations (SPS). Then, a kinetic model with a homogeneous scatterer is introduced, which contains the reference Knudsen number as the sole parameter that characterizes the collision frequency of gas molecules with the micro-structural solid surface. With the aid of the standard asymptotic analyses for small and large Knudsen numbers combined with the percolation theory, the effective reference Knudsen number is identified to reproduce the SPS results for a wide range of porosities. |
| doi_str_mv | 10.1063/5.0024636 |
| format | Article |
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| language | eng |
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| source | American Institute of Physics (AIP) Journals; Alma/SFX Local Collection |
| subjects | Computer simulation Fluid dynamics Gas transport Gases Grain size Kinetic theory Mass flow Percolation theory Physics Porous media Resistance Solid surfaces |
| title | Modeling of gas transport in porous medium: Stochastic simulation of the Knudsen gas and a kinetic model with homogeneous scatterer |
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