Abstract: Mathematical model on two-dimensional liquid metal flow in a casting slab mold under a static magnetic field is presented, and the effect of the static magnetic field on the liquid metal flow is studied by means of numerical analysis. Computational results show that the velocity of the strand of liquid metal flow and the strength of the reverse flow to the meniscus are reduced by the static magnetic field, and that the braking effect of the magnetic field on the strand of liquid metal flow becomes stronger ...