Hysteresis of the shape of a magnetic fluid volume near a line conductor

V. A. Naletova^1,2 - V. V. Kiryushin² - A. G. Reks³ - E. Suvchuk³

¹ Department of Mechanics and Mathematics, Lomonosov Moscow State University, Leninskiye Gory, 119992, Moscow, Russia
² Institute of Mechanics, Lomonosov Moscow State University, 1 Michurinskiy Pr., 119192, Moscow, Russia
³ Belarussian National Technical University, 65 F. Skaryna Avenue, Minsk, 220013, Republic of Belarus

Abstract
Hysteresis behaviour and break-up of a magnetic fluid volume situated between two concentric cylinders in the presence of magnetic field are considered analytically. The situation investigated is the break-up and the formation of the magnetic fluid volume between the cylinders and the change of the thickness of drops on the inner and outer cylinders as the line current in the inner cylinder is increased or decreased. It is shown that an adequate qualitative and numerical description of such phenomena must take into account the dependence of the fluid magnetization on the magnetic field. Tables 1, Figs 7, Refs 4.