Equations of motion of interpenetrating electromagnetic fluids

V. M. Suyazov

Abstract
Green and Naghdi's thermodynamic theory is generalized to the motion of two interpenetrating, interacting electromagnetic media. Local forms of the fundamental laws of mechanics, thermodynamics, and electrodynamics of a mixture of two structured continuums are deduced from the representations of these laws in integral form. The methods of the thermodynamics of irreversible processes are used to study the determining equations for: a mixture of two fluids with internal rotation of the particles; a mixture of two fluids with constrained rotation of the particles; and a mixture of a fluid with internal rotation of the particles and one with constrained rotation. It is assumed that each of the fluids is charged and electrically conducting and relaxes dielectrically and paramagnetically. It is assumed that the systems of equations obtained can be used to describe the mechanical behavior of ferromagnetic ferroelectric suspensions whose single-domain particles are capable of separation and interaction with the fluid phase.