Gravity-driven Poiseuille Flow in Dilute Gases. Elastic and Inelastic Collisions

Abstract

An overview of the hydrodynamic profiles derived by kinetic theory tools (Boltzmann equation and kinetic models) for the gravity-driven Poiseuille flow with particles colliding either elastically (planar and cylindrical geometries) or inelastically (planar geometry) is presented. The results obtained through second order in the gravity acceleration show that the Navier-Stokes predictions are qualitatively incorrect over distances of the order of the mean free path, especially in the case of the temperature profile

15 pages, 3 figures; to be published in "Modelling and Numerics of Kinetic Dissipative Systems," edited by L.Pareschi, G.Russo, and G.Toscani (Nova Science, New York, 2005)