Shear viscosity of inhomogeneous hard-sphere fluids

Hai Hoang (1) , Guillaume Galliero (1)

1 LFCR - Laboratoire des Fluides Complexes et leurs Réservoirs

Using molecular dynamics on Hard-Sphere-like fluids subject to an external sinusoidal field inducing density inhomogeneities and undergoing a bi-periodical shear flow, we have studied the local viscosity of the inhomogeneous fluid. It has been shown that for a slowly varying density profile the local average density model combined with the well-known models proposed in the density function theory yields a good description of the viscosity profile obtained by molecular simulation. However, for a rapidly varying density profile these models are unable to describe correctly the viscosity profile obtained by molecular simulations. So, to overcome the weakness of these models we have proposed a simple model that takes into account the effect of the angle formed by the colliding molecules and the direction of the flow.

Mots clés: Density functionnal theory; Hard-sphere fluid; Inhomogeneous fluids; Local shear viscosity; Non-equilibrium molecular dynamics simulation Density function theory; Density profile; Hard sphere fluids; Inhomogeneities; Local average density models; Molecular simulations; Non equilibrium molecular dynamic (NEMD) Engineering controlled terms: Automation; Control; Control theory; Fluids; Molecular dynamics; Molecular structure; Process control; Shear flow; Shear viscosity Engineering main heading: Density functional theory

Domaines: Chimie-Physique [physics.chem-ph]

Hai Hoang, Guillaume Galliero. Shear viscosity of inhomogeneous hard-sphere fluids. Applied Mechanics and Materials, 2013, 330, pp.27-31. ⟨10.4028/www.scientific.net/AMM.330.27⟩. ⟨hal-00853818⟩