%0 Journal Article
%T Weighted density Lattice Boltzmann approach to fluids under confinement
%A Umberto Marini Bettolo Marconi
%A Simone Melchionna
%J Physics
%D 2013
%I arXiv
%R 10.1080/00268976.2013.771801
%X The Enskog-like kinetic approach, recently introduced by us to study strongly inhomogeneous flu- ids, is reconsidered in order to improve the description of the transport coefficients. The approach is based on a separation of the interaction between hydrodynamic and non-hydrodynamic parts. The latter is treated within a simple relaxation approximation. We show that, by considering the non-hydrodynamic part via a weighted density approximation, we obtain a better prediction of the transport coefficients. By virtue of the simplicity of the kinetic equation we are able to solve numer- ically the phase space distribution in the presence of inhomogeneities, such as confining surfaces, via a Lattice Boltzmann method. Analytical estimates of the importance of these corrections to the transport coefficients in bulk conditions is provided. Poiseuille flow of the hard-sphere fluid confined between two parallel smooth walls is studied and their pore-averaged properties are determined.
%U http://arxiv.org/abs/1304.7880v1