The mathematical modeling of the MHD pump

2D cylindrical symmetrical nonstationary mathematical model of the MHD pump is presented in the paper. To describe electromagnetic fields the MHD approximation of Maxwell's equations is used. To describe the movement of heat-transfer fluid in the pump passage the Navier-Stokes equations in terms of flow function and rotation function are used. The calculation region includes ferromagnetic core, pump passage, inductance coils and magnet frame of inductor.
The researches of pump operation dependence on the number of phases in electric circuit, magnitude and frequency of current, metal consumption are conducted. The calculation for the pump with the intended set of parameters is carried out and the comparison of calculation results with engineering analysis results is presented.