We investigate the flow and solute segregation in a vertical Bridgman crystal growth under a transversal magnetic field with slow ampoule rotation using three-dimensional numerical simulation. The analysis starts from simple ampoule translation and rotation at zero gravity showing the role of magnetic centrifugal pumping caused by the electrically conductive crystal. Then, the analysis is extended to a typical terrestrial growth, and it is found that the rotation improves significantly the axisymmetry of the solute transport at the interface, while the global solute transport is not much affected. The electrical conductivity of both the crystal and the ampoule are found important to the flow and dopant segregation. (C) 2004 Elsevier B.V. All rights reserved.