A mathematical model that describes the coupled electromagnetic and hydrodynamic processes in an induction channel furnace is presented. The model is a system of equations of magnetic hydrodynamics, which includes integro-differential equations for the electromagnetic field at applied voltages at the furnace inductors and equations of hydrodynamics in the form of Navier-Stokes equations for stationary turbulent flow using the k-ε turbulence model. Using the example of a two-phase channel furnace, the influence of the phase angle between the voltages supplying the furnace inductors on the structure and intensity of the liquid metal flow in the channels is considered. The values of this angle which provide the maximum flow rate of transit melt flow in the channels are determined. References 3, figures 3.

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Ab s t r a c t. According to the Military doctrine of Ukraine, one of the central tasks is to reform the Armed Forces of Ukraine in order to achieve interoperability and technical compatibility with the armed forces of NATO member states, as well as adherence to the standards of work, division of functions and core tasks adopted in the EU and NATO member states. Today, there is a need to improve the system of communication between governing bodies in the military management system. However, the slow pace of implementation of NATO standards is significantly hampering this process. One reason for this is the lack of attention to the adaptation of the Ukrainian Armed Forces' operational planning system to similar systems used in NATO countries. The article analyzes the principal principles of the communications organization and discusses the key steps involved in developing an operational plan based on the capabilities of NATO member countries. Since communication planning is one of the major elements of NATO operations planning, the authors of that article analyzed the operational planning of the communications and information system planning, taking into account the need to align Ukraine's Armed Forces management systems with NATO standards. During the research, the authors examined the main steps involved in planning the communications system, identified the factors that influence its planning process. Therefore, a promising direction for further research by the authors should be considered the justification of ways to improve the planning process of the Armed Forces communications system and detailed research of NATO documentation and standards, in terms of organization and planning of communications, in order to explain the requirements for the military management system in Ukraine. This will allow the harmonization (integration) of Ukraine's national development plans with the NATO defense plan. K e ywor d s : standards; capability; NATO; Armed Forces of Ukraine; duration system; operational planning; process.

The results of numerical modeling of electromagnetic processes in the system of electroslag surfacing of metal with sectional mould for different positions of the terminals of the current supply, which is made on the basis of the devel-oped mathematical model. The results are presented in the form of current density distributions in the metal of section with a vertical slit and electromagnetic forces in the liquid slag. It is shown that the azimuth displacement of the upper terminal of the mould, which is connected to the current-carrying section relative to its vertical slit, significantly affects the electromagnetic forces in the slag bath but does not change the heat output in the system. At the same time, the position of the lower terminal connected to the workpiece has virtually no effect not only on heat dissipation but also on the forces in the liquid slag. Ref. 6, fig. 2, table.

A three-dimensional mathematical model for the study of electromagnetic processes occurring in a sectional current-supply crystallizer during electroslag surfacing of metal is presented. Numerical simulations of the electromagnetic field in such system were performed, the distributions of electric current density, volumetric heat emissions in the system elements, as well as the distribution of electromagnetic forces in liquid slag were obtained. The comparison of calculated and experimental values of the integral parameters of the specified system is carried out. References 8, tables 2, figures 5.