On the mechanics of magnetic fluids with field-induced phase transition: application to Couette flow

V. G. Bashtovoi¹ - P. P. Kuzhir² - A. Y. Zubarev³ - V. S. Moroz¹

¹ Laboratory of Thermomechanics of Magnetic Fluids, Belarusian National, Technical University, 65 Nezavisimosti Ave., Minsk 220013, Belarus
² CNRS UMR 7010, Institute of Physics of Nice, University Cote d'Azur, Parc Valrose, Nice 06108, France
³ Department of Theoretical and Mathematical Physics, Ural Federal University, 51 Lenin Ave., 620083 Ekaterinburg, Russian Federation

Abstract
The influence of Brownian diffusion and magnetophoresis, which are followed by phase transition, on the characteristics of a stationary plane Couette flow of magnetic fluid in a non-uniform magnetic field is discussed. The phase transition conditions in magnetic fluids are assumed as a natural restriction to the particle concentration increase in a non-uniform magnetic field. Profiles of the particles' concentration are calculated, and dependences of the volume magnetic force and of the viscous force are established. Tables 1, Figs 8, Refs 22.