A kinetic approach to the plane poiseuille flow over a porous matrix

The Poiseuille-Couette gas flow in a channel and the gas flow through an adjacent porous medium are considered when the governing equations are obtained via a molecular kinetic approach based on the Boltzmann equation. The mass continuity, momentum balance and energy conservation are written for the...

Full description

Saved in:
Bibliographic Details
Published in:Transport in porous media 2005-12, Vol.61 (3), p.275-289
Main Authors: DE SOCIO, L. M, IANIRO, N
Format: Article
Language:English
Subjects:
Boltzmann transport equation
Boundary conditions
Domains
Earth sciences
Earth, ocean, space
Energy conservation
Engineering and environment geology. Geothermics
Exact sciences and technology
Gas flow
Hydrocarbons
Hydrogeology
Hydrology. Hydrogeology
Laminar flow
Mathematical analysis
Pollution, environment geology
Porous media
Sedimentary rocks
Steady flow
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Poiseuille-Couette gas flow in a channel and the gas flow through an adjacent porous medium are considered when the governing equations are obtained via a molecular kinetic approach based on the Boltzmann equation. The mass continuity, momentum balance and energy conservation are written for the gas in the contiguous regions, whereas the behavior of the solid matrix obeys to the heat diffusion equation. Two different space scalings lead to different forms of the equations for the steady flow through the fully saturated matrix. The boundary conditions at the interface between the two domains are investigated via a matching procedure.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-004-8304-9