Initial framework and motivations of the investigation were based on the research projects developed by the Consortium for Magnetofluid
Dynamics (University of Trieste, Italy) and the MIUR (Italian Ministry for Universities and Research) PRIN Research Program "Problemi Matematici delle Teorie Cinetiche e Applicazioni" (Mathematical Problems of Kinetic Theories and Applications), University of Trieste, Italy.
 have developed a finite element and network electrical simulation of rotating magnetofluid
flow in nonlinear porous media with inclined magnetic field and Hall currents.
or magnetic liquid is a kind of magnetorheological fluids (MRF), only its yield stress is lower than conventional magneto rheological fluid .
Dynamics for Engineers and Applied Physicists, McGraw-Hill, New York, NY, USA, 1973.
T., (1973) Magnetofluid
dynamics for engineering and applied physicists.
This paper generalizes previous analytic treatments and shows that the governing magnetofluid
equations are equivalent to a nonlinear second-order partial differential equation for a single scalar function of position.