Small deformation theory for a magnetic droplet in a rotating field

A three-dimensional small deformation theory is developed to examine the motion of a magnetic droplet in uniform rotating field. The equations describing droplet's shape evolution are derived using two different approaches—a phenomenological equation for tensor anisotropy and hydrodynamic solution perturbation theory. We get system ordinary differential parameters shape, which we further analyze particular case when elongation plane qualitative behavior this governed by single dimensionless quantity [Formula: see text]—the product characteristic relaxation time perturbations angular frequency Values text] determine whether equilibrium will be closer an oblate or prolate as well its undergo oscillations it settles equilibrium. show that deformations, pseudo-rotates field—its long axis follows field, reminiscent rotation; nevertheless, torque exerted on surrounding fluid zero. compare analytic results with boundary element simulation their accuracy limits