Modelling of Copper Melted Movement in the Process Equipment of the South-Wire – 2000 Line

Some fundamental questions of dynamics of incompressible fluid described by Navier-Stokes equa-tions are considered in the article. Special attention is paid to the problems of computational charac-ter. Stationary as well as unsteady flow of incompressible fluid is considered. The finite element method is used in the algorithm. It is based on a modification of the Navier-Stokes equations. Mixed boundary value problems for non-evolutionary equations are also considered, and various boundary and initial conditions for the numerical solution of hydrodynamic equations are presented. A physi-cal and mathematical model of the hydrodynamics of melts is compiled. A computer modelling method is developed to investigate the structural and physical properties of molten systems. A com-puter program for the numerical solution of the equations of hydrodynamics of metallic melts taking into account transport coefficients, in particular volume and shear viscosities, has been compiled. The program has been tested for the solution of the Poisson equation. An algorithm for building a physi-cal and mathematical model of nonlinear equations of incompressible molten systems has been de-veloped. An algorithm for constructing the distribution of flow velocities of molten systems and inte-gration of hydrodynamic equations on the basis of numerical experiments has been developed, which makes it possible to predict the technological parameters of casting metallic melts.