Transport Phenomena and Structuring in Shear Flow of Suspensions near Solid Walls

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We find that a particle free region arises near walls, which has a width depending on the shear rate and the particle concentration. The wall causes the formation of parallel particle layers at low concentrations, where the number of particles per layer decreases with increasing distance to the wall.Comment: 14 pages, 14 figure

Lubrication in a flat cone: The transition from a cone to a plane wall

International audienc

Lubricating motion of a sphere in a conical vessel : a general solution

International audienc

Lubricating motion of a sphere in a conical vessel : a general solution

International audienc

Lubricating motion of a sphere in a conical vessel : a general solution

International audienc

Lubrication in a flat cone: The transition from a cone to a plane wall

International audienc

Effective hydrodynamic flow of suspensions in presence of apparent slip at boundaries

International audienceCreeping flows may be submitted to an apparent slip at boundaries, which modifies their general behavior. Two cases are considered here: (i) a very dilute suspension of independent solid spheres; a nearby rough wall is equivalent to a smooth wall on which a slip boundary condition applies; (ii) a suspension of solid spheres moving along a smooth wall, for which an apparent slip on the wall arises from the non zero volume fraction and depends much on the distribution of the suspension. Case (i) is linear since the slip may be obtained from the solution of Stokes equations. In case (ii) Stokes equations are solved but the problem is in general non‐linear since the slip boundary condition is obtained in terms of the particle distribution which may depend on the flow field

Effective hydrodynamic flow of suspensions in presence of apparent slip at boundaries

International audienceCreeping flows may be submitted to an apparent slip at boundaries, which modifies their general behavior. Two cases are considered here: (i) a very dilute suspension of independent solid spheres; a nearby rough wall is equivalent to a smooth wall on which a slip boundary condition applies; (ii) a suspension of solid spheres moving along a smooth wall, for which an apparent slip on the wall arises from the non zero volume fraction and depends much on the distribution of the suspension. Case (i) is linear since the slip may be obtained from the solution of Stokes equations. In case (ii) Stokes equations are solved but the problem is in general non‐linear since the slip boundary condition is obtained in terms of the particle distribution which may depend on the flow field