Аннотация
Two problems about rotation of liquid in crossed electric and magnetic fields in connection with in- vestigation of regularities of interaction of external electric and magnetic fields with weakly conducting liq- uids like water (running water, sea water) and its solutions (σ ∼(10-2 -102) Ω-1m-1) are formulated and solved. The first problem deals with the liquid confined in the gap of a vertical cylindrical capacitor, while the second problem deals with the liquid in a rectangular cuvette, two lateral vertical walls of which are used as armatures of a plane-parallel capacitor. In both cases a constant vertical magnetic field is applied to the liquid while constant voltage is supplied at the armatures of the capacitor. Three types of boundary condi- tions are considered in the first case: capacitor of infinite length; capacitor is confined by a solid bottom from below and has a free boundary at the top; capacitor with closed ends and liquid occupies all of its volume. Obtained results can be used in many practical applications, for example in pumping of weakly conducting liquids.