On the low-Reynolds-number motion of a non-conducting particle in uniform electric and magnetic fields

Antoine Sellier (1)

1 LadHyX - Laboratoire d'hydrodynamique

We present the formulation and the numerical implementation of a new boundary approach that permits us to compute the rigid-body motion of an arbitrarily-shaped, freely-suspended and non-conducting particle immersed in a liquid metal under the action of prescribed and uniform ambient electric and magnetic fields E and B. The paper describes the advocated numerical strategy and discusses preliminary benchmarks against the analytical solution obtained elsewhere for an ellipsoidal particle. The case of an insulating pear-shaped particle, which may experience both translation and rotation, is also briefly addressed. Tables 3, Figs 1, Refs 9.

Domains: Physics [physics]; Mechanics [physics]; Fluid mechanics [physics.class-ph]; Engineering Sciences [physics]; Mechanics [physics.med-ph]; Fluids mechanics [physics.class-ph]

Antoine Sellier. On the low-Reynolds-number motion of a non-conducting particle in uniform electric and magnetic fields. Magnetohydrodynamics c/c of Magnitnaia Gidrodinamika, 2003, 39 (3), pp.259-266. ⟨hal-01025869⟩