Inertial migration of oblate spheroids in a plane channel

Abstract

We study the inertial migration of neutrally buoyant oblate spheroids in a plane channel at moderate Reynolds numbers using lattice Boltzmann simulations. Spheroids reorient to perform a log-rolling motion with their minor axis in the vorticity direction. We demonstrate that, for moderate aspect ratios, the equilibrium positions relative to the channel walls for such a stable motion depend only on the equatorial radius a of the spheroid, and the inertial lift force on the spheroid is proportional to a 3 b, where b is the polar radius. Therefore, the lift force on the spheroid can be expressed in terms of that for the sphere of the same a.