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.
A kinetic approach to the plane Poiseuille flow over a porous matrix / DE SOCIO, Luciano; Ianiro, Nicoletta. - In: TRANSPORT IN POROUS MEDIA. - ISSN 0169-3913. - STAMPA. - 61:3(2005), pp. 275-289. [10.1007/s11242-004-8304-9]
A kinetic approach to the plane Poiseuille flow over a porous matrix
DE SOCIO, Luciano;IANIRO, Nicoletta
2005
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
