Apparent Viscosity of a Mixture of a Newtonian Fluid and Interacting Particles

Aline Lefebvre (1) , Bertrand Maury (1) , Aline Lefebvre-Lepot (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We investigate the behaviour of fluid-particle mixtures subject to shear stress, by mean of direct simulation. This approach is meant to give some hints to explain the influence of interacting red cells on the global behaviour of the blood. We concentrate on the apparent viscosity, which we define as a macroscopic quantity which characterizes the resistance of a mixture against externally imposed shear motion. Our main purpose is to explain the non-monotonous variations of this apparent viscosity when a mixture of fluid and interacting particles is submitted to shear stress during a certain time interval. Our analysis of these variations is based on preliminary theoretical remarks, and some computations for some well-chosen static configurations.

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Aline Lefebvre, Bertrand Maury, Aline Lefebvre-Lepot. Apparent Viscosity of a Mixture of a Newtonian Fluid and Interacting Particles. Comptes Rendus Mécanique, 2005, 333 (12), pp.923-933. ⟨hal-00728382⟩