Response of magnetic particle to rotating magnetic field in viscoelastic fluid

The rotational dynamics of a freely suspended ferromagnetic particle in viscoelastic fluid subjected to a rotating magnetic field is studied by experiments and theory. Our result reveals that when the characteristic relaxation time of the fluid is much smaller than the inverse critical field frequency, the particle's rotation behavior aligns with that in Newtonian fluids. Increasing the relaxation time enhances the time-averaged rotation frequency of the particle that undergo asynchronous rotation. Moreover, the critical frequency is shown to scale linearly with the magnetic field intensity and inversely with the fluid's zero-shear viscosity. Our work is expected to guide precise manipulation of ferromagnetic particles in biomedical systems where viscoelastic environments dominate.