A mathematical model of the thermal state of the slab continuous casting billet. Feature of our model is the explicit consideration of arrangements of nozzles and rollers secondary cooling zone of continuous casting machine as boundary conditions for the heat equation. The resulting model allows us to conduct numerical experiments in order to identify ways to improve the system and cooling modes blank. 

The article discusses the increase in efficiency of the modern EAF working on technology to non-continuous load metallized pellets. The method of calculation of rational energy regimes of modern EAF working on energy-technology with continuous loading of pellets using different electrode- tion design. The algorithm for calculating and created computer program that calculates the rational mode of arc steel-smelting furnace, as well as rational download speed metallized pellets in the bath furnace. On the basis of calculations that the use of hollow (tubular) electrodes can reduce the total melting time of 5.9 min in comparison with the standard (solid) electrodes. In this case, the average download speed of metallizovannyh pellet stoves can be increased to 183 kg/min, which in turn will reduce the specific energy consumption of 63 kW·h/t. The results of computer simulations are in qualitative agreement with the data on physical models, thus promising applications of hollow (tubular) electrodes in a production environ- ment.

The article discusses the increase in efficiency of the water-cooled heat elements of modern electric arc furnaces using mathematical modeling using electrodes of different design, namely conventional (solid) and hollow (tubular). In the mathematical modeling showed that the use of hollow (tubular) electrodes can significantly improve the thermal performance of water-cooled elements arc steel furnaces, reduce the amount of heat loss of 120 kW/m2. The results of computer simulations are in qualitative agreement with the data on physical models, thus promising applications of hollow (tubular) electrodes in a production environment.

For a choice of optimum preform at rolling of profiles with rhombic section it is offered criterion expenditure of metal and effort of rolling to add with degree of use of a store of toughness of a material and a profile stability margin at rolling. Calculations of four variants of calibration are executed. The assaying of the received results has allowed to define an optimum variant of calibration “rectangle–rhombus”. Heightening of stability of operation properties of a received article is marked also.

On the basis of information, got during conducting of repair of skip winch and technical diagnostics of its drive the analysis of effi ciency of technical and organizational decisions, accepted during preparation and actually repair is executed.

The well known methods for view factor calculation are compared numerically for various geometric arrangements. Simple criterion is introduced that allows one to estimate the error in the computed view factor a priori. The algorithm for choosing the integration method and number of nodes before calculation of a view factor is proposed. The algorithm allows one to save much computation time by always using minimum number of nodes for each pair of surface zones and insures a desired accuracy.

Performed calculations rate of the axial stress in the caliber of bands, the total voltage wire drawing and the relative increase in the total voltage of the force of contact friction with different parameters of the workpiece deformation wire.

Considered mechanism of changing of mass and composition of phases at equilibrium solidification of binary eutectic alloys in three-component system. It is shown by way of A–B–C model system that equilibrium solidification of binary eutectics in three-component systems is defined by “decomposition” and “interaction” that is similar to crystallization of one solid solution. It was found out that eutectic transformation has more turn for equilibrium solidification because “decomposition” prevails over “interaction” process. Revealed regularities were approved at considering of Al–Si–Cu crystallization in reality.

Investigated in a production environment durability of parts, hard faced with different types of abrasion

The article describes a new phenomenological equation of energy intensity of metals with the four basic factors of polycrystals: power, time, defective and external mechanical-to describe her behavior patterns depending on relative hardness, velocity relaxation ratio, density and performance load stress and strain at different degrees of deformities. The value of energy intensity can produce alculations of new integrated energy criteria: birth of synergetics, devastation spread of cracks, ragility, scale, and give a more objective analysis of polycrystalline, which cannot be obtained by mechanical properties.

The possibility was identifi ed to quantify the degree of V C arrhythmia and converter emissions probability based on the dispersion of variable component of the velocity of carbon oxidation fl uctuations (hereinafter ΔV ) during the period of its intensive oxidation. During the period of carbon intensive oxidation, ΔV C C can be viewed as weakly ergodic random sub-process. This approach allowed for studying of the ΔV  oscillations frequency range.  This range represents practically continuous sequence of frequencies (from kHz/sec to kHz/min), which sequence is determined by structural components of oxygen furnace process.

The article describes the strategy formulation of the problem of optimizing charge materials for electric arc furnace. Invited to present the problem as a composite of the two subtasks. In the first problem is optimized ratio of scrap and pig iron. In the second problem is optimized composition of scrap metal on the chemical composition of chromium, nickel, and copper. An example of the formulation of the problem for the conditions of “MMK” on the requirements of each steel grade. See generalizing scheme to implement the proposed strategy.