A numerical study of the flows arising in a conducting liquid under the action of a rotating magnetic field as well as under its interaction with gravitational and thermocapillary convection has been made. The boundaries of the transition to the oscillating regime of convective flows have been determined. Regions of mixed flows, in which the impurity macrosegregation in crystals grown by the Bridgman and floating‐zone methods decrease, have been revealed. It has been shown that regions of flows in which both a smooth increase in the impurity macrosegregation and a change in the form of a clearly defined extremum are observed also exist. The possibilities of mathematical modeling of geophysical problems with the use of a rotating magnetic field are discussed.