Continuum mechanics of a magnetically saturated fluid

The physical properties of a magnetically saturated fluid are well accepted. This work is concerned with its continuous description. Using global balance law approach we first derive the differential equations and boundary conditions for continua with internal rotations of hydrodynamic as well as of magnetic origin. The constitutive relationships are then introduced which together with the foregoing equations lead to a complete set of equations for the study of magnetomechanical fluid problems.