Numerical method for inertial migration of particles in 3D channels

Laurent Chupin (1, 2) , Nicolae Cindea (1, 2)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal
2 UCA [2017-2020] - Université Clermont Auvergne [2017-2020]

The aim of this paper is to propose a method to model and numerically simulate the inertial migration of particles in three-dimensional channels. The initial problem, coupling Navier-Stokes equations to the equations modeling the displacement of a spherical particle immersed in the fluid, is replaced by a first order expansion with respect to a small Reynolds number. We reduce the computation of the velocity of a spherical particle situated at a given position in a channel to the numerical solutions of several Stokes elementary problems. The proposed method is employed to numerically approach the steady solutions for different domain configurations.

Mots clés: fluid/particle; inertial migration; Segré-Silberberg effect; numerical method; steady solutions

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]

Laurent Chupin, Nicolae Cindea. Numerical method for inertial migration of particles in 3D channels. Computers and Fluids, 2019, 192. ⟨hal-01971999⟩