The equation of motion of the 2D elliptic magnetic fluid droplet in rotating field

S. Lacis

Institute of Physics, Latvian Academy of Sciences, Salaspils-1, LV-2169, Latvia

Abstract
Equations of motion for 2D magnetic fluid droplet in low-frequency rotating field are derived under the assumption of its elliptic shape. Fluid flow outside the droplet is treated exactly, but inside is described in approximation of constant velocity gradients. Dynamic boundary conditions are satisfied integrally by virial moment technique. Numerical simulation of droplet motion is carried out applying Runge-Kutta 4th order algorithm. Juxtaposing with the numerical simulation results of the droplet motion in low-frequency rotating field by boundary integral equation technique good accordance is confirmed. Figs. 2, refs. 7.