Numerical study of the ferrofluid flow and heat transfer through a rectangular duct in the presence of a non-uniform transverse magnetic field

► Two-phase mixture model and the control volume technique are used to study the flow. ► The non-uniform transverse magnetic field is generated by a wire of electric current. ► Applying magnetic field deforms the axial velocity profile and creates vortices. ► The local Nusselt number enhances by applying non-uniform magnetic field.