The Hadamard-Rybchinskii problem for crossed electric and magnetic fields

V. I. Popov - A. B. Tsinober

Abstract
Slow stationary motion of a particle in a viscous conducting medium under the influence of the force of gravity in uniform crossed electric and magnetic fields is investigated for Re_m << 1, Ha²/Re << 1. The velocity and pressure fields inside and outside the particle are determined, and also the dependence of the velocity on all parameters of the motion.