01-19U

Basic models for the investigation of dynamic properties of granular particles in a fluid by the method of computer experiment are described. The system of equation for translational and rotational motion of magnetic particles are obtained at the presence of fluid shear flows and external magnetic fields with taking into account dissipative, random and deterministic interpaticle forces of interactions. New efficient algorithms for solving these equations are constructed. On the basis of the proposed algorithms, actual computer simulations and numerical calculations are carried out for magnetic response of systems under considerations. It is discussed the possibility of using the obtained results for the optimization of processes of industrial separation of radioactive elements from lava--like fuel--containing masses.