Electromagnetic, flow and thermal coupling in a MHD pump taking account the saturation of the ferromagnetic material

The coupled finite element method - finite volume method are applied to solve magnetohydrodynamic (MHD) flow equations and the thermal equation in the linear induction MHD pump taking into account the saturation of the ferromagnetic materials. This study is done using the stream-vorticity formulation. The purpose of this paper is to represent the velocity and the temperature respectively in linear and non linear cases because it is required to have the knowledge of the flow and the temperature to design an MHD pump. Additionally, the effect of the electromagnetic thrust on the flow distribution in a linear induction MHD pump is studied.