Isha Mishra

Dynamics of spherical particles in the presence of shear and oscillating magnetic field

The dynamics of a spherical particle in the presence of shear and an oscillating magnetic field in the shear plane, is defined in terms of the dimensionless numbers 𝜔∗, which is the ratio of the magnetic field frequency and the shear rate, and Σ, which is the ratio of the magnetic and hydrodynamic torques. As the magnetic field strength is increased, Σ increases and the behavior of the particle evolves from close to Jeffery orbit like to synchronized rotations in the shear plane. When 𝜔∗<1/2, this phase locking displays Arnol’d tongue at 𝜔∗=1/(2 𝑛0), where 𝑛0 is an odd integer, and then discontinuous change in the rotation number. The hydrodynamic torque exerted by the particle on the fluid changes as the behavior of rotation of the particle changes.