Strong magnetic field effects on solid-liquid and particle-particle interactions during the processing of a conducting liquid containing non-conducting particles

► We provide a detailed interpretation of the magneto-hydrodynamic interaction force. ► The magneto-hydrodynamic interaction force depends on the flow field. ► Strong magnetic field effects on drag forces are evaluated for the first time reported. ► Interaction of micrometer-sized particles can be controlled by using a magnetic field.