The hydrodynamics of particles suspended in a melt with the self-consistent concentration field of an admixture (Part I)

Small particles in the suspended state form in the nonuniform concentration field of admixture components as a result of steel deoxidation in melts. The hydrodynamic regimes of motion of particles interacting with changing concentration gradients occur in these conditions. A hydrodynamic theory of such self-consistent motion is constructed in the present paper. A relation determining the dependence of the velocity of relative motion of the particle-melt continuum on the gradient of the admixture concentration is obtained.