Instability of equilibrium and appearance of ordered spatial structures on the free surface of ferrofluid

I. D. Borysov¹ - S. I. Potseluiev¹ - T. Yu. Yatsenko²

¹ V.N. Karazin Kharkov National University, Ukraine
² O.Ya. Usikov Institute for Radiophysics and Electronics, NAS of Ukraine, Ukraine

Abstract
The process of ordered spatial structures' formation on the free surface of a magnetizable fluid in a steady magnetic field is considered. The stability boundary for the equilibrium state of the ferrofluid layer in a cylindrical solenoid with circular and rectangular cross-sections is defined in a range of physical parameters. The initial stage of the flat free surface evolution is investigated when stability is lost. Figs 3, Refs 15.