Generalized Mathematical Model of Physical Fields of Technological Redistributions of Manufacturing Electrographite Products

Abstract

A generalized mathematical model of the physical fields of the main technological redistributions of electrographite products is developed, which is based on a continuous-discrete approach to the description of nonlinear behavior of solids, liquids and gases, and bulk media. It is shown that the continuous formulation of physical processes in the technology of carbongraphite production is based on the Euler frame of reference and may include the following equations: conservation of mass, momentum and energy, electrical conductivity in the vortex-free approximation of electric potential and transport of chemical components of combustion reactions. The discrete formulation of physical processes in bulk materials used in the technology of production of carbon graphite products is based on the Lagrangian frame of reference and may include the following equations: translational and rotational motion and energy. The application of the generalized mathematical model for construction or refinement of mathematical and numerical models of separate redistributions for performance of the numerical analysis of physical fields and parameters of processes and the equipment on examples of pressing of "green" electrode preparations and theoretical research of effective thermophysical properties of loose carbonaceous materials. On the basis of the developed generalized statement, the complex of separate mathematical models of such redistributions of production of electrographite production as: calcination of carbonaceous materials in electrocalciners, gasification of carbonaceous materials in the equipment of rotary calcination furnaces is also formulated and specified, burning and graphitization of electrographite blanks. Bibl. 40, Fig. 4.