Two-phase simulation of non-uniform magnetic field effects on biofluid (blood) with magnetic nanoparticles through a collapsible tube

► We modeled blood vessel as a tube with an elastic segment. ► Two different magnetic fields including axial and transverse gradient were applied on the tube. ► The governing equations of flow field solved with iterate method. ► Magnetic field of wire and negative gradient magnetic field make the tube opens up. ► More the slope of the magnetic field, more the tube's shape would be changed.