Completely two-dimensional model for examining the characteristics of a linear cylindrical induction pump

A completely two-dimensional mathematical model for calculating the characteristics of induction magnetichydrodynamic (MHD) machines with a cylindrical channel is proposed. The flow pattern of a liquid metal in an electromagnetic pump under MHD instability is obtained by numeric analysis. This pattern is characterized by the formation of large-scale vortices traveling longitudinally and azimuthally. The calculated basic characteristics of the pump are in good qualitative and in satisfactory quantitative agreement with the experiment.