A model is developed to calculate the flow field produced by electromagnetic stirring generated by a rotating magnetic field. This study has considerable importance due to its applicability to continuous casting systems. Three cases are considered, the first, in which steady continuous stirring is studied, and the numerical results are found to agree well with the experimental observations by other workers. In the second case, alternating stirring is examined, and the critical role of switching frequencies is discussed. Finally, a preliminary allowance is made for free surface deformation for the continuous stirring situation. The effective viscosity is deduced from the transport equations for K, the turbulence kinetic energy, and for ∊, the rate of viscous dissipation. The transport equation for K is modified to account for turbulence enhancement due to electromagnetic effects.