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Purpose: Identification of the heuristic significance of radicalism and solidarity as elements of the Russian civilization concept, not only within the framework of a unified, strictly fixed theory, but as universal intellectual tools of a modern socio-humanitarian vision of historical reality. Methodology: The basis of the work is a civilizational approach, which allowed to most effectively evaluate the interesting aspects of the social development of Russian civilization. Main Findings: The authors revealed the specific content of national manifestations of radicalism and solidarity in a philosophical and historical context. The most important manifestations of the social aspirations of key mega-objects of Russian history: the ethnic group, the state and the church are analyzed. When considering the historical specifics of the designated vectors of civilizational dynamics, attention is drawn to the role of individuals in the process of activating or deactivating the indicated directions of Russia development. Novelty/Originality: The authors revealed the specific content of national manifestations of radicalism and solidarity in a philosophical and historical context. The tendency towards radical and solidary forms of interaction among the participants in the civilization process, especially at the tragic moments of historical changes, was a special form of manifestation of social dynamics. Its total completeness, expressed, among other things, through the acceleration or deceleration of the adaptation to historical reality processes, became a state of self-disclosure of specific subjects of social action, acting as vehicles of unknown metahistorical forces.

The article examines the technological complex of wastewater treatment (WWS) of machine-building production. The wastewater treatment complex (WWS) of machine-building production has a complex multi-level structure; therefore, modern methods of system analysis, computer modeling, and the theory of Petri nets are used to study, model, and analyze such systems. The apparatus of the theory of Petri nets (SP) is selected from the main methods for modeling discrete-continuous chemical-technological systems (CTS) for modeling the process of SAL of engineering production. Petri nets are used, focused on modeling and analysis of discrete-continuous CTS, by including priority transitions, delay time of labels in positions and transitions. A model of a typical apparatus that implements the OSV technological process was synthesized in the form of a modified Petri net (SME). The software package for the OSV technological process control system was created using the TRACE MODE SCADA technology.

To increase the thermal and hydrodynamic efficiency of tubular apparatuses, it is necessary to develop new designs of heat-exchange elements, which are distinguished by high thermal efficiency, manufacturability and low cost of production. In the work, it is proposed to use screw pipes as heat-exchange elements of tubular heat exchangers, since they have a higher degree of surface development compared to smooth-tube elements. The manufacturing technology of such pipes can be carried out in the cold state by the method of rotational forging (rotational compression), which is one of the varieties of the forging process and implemented on special rotary forging machines. To determine the heat transfer coefficients in the screw heat exchange elements mounted a special experimental setup. The main part of the installation is a pipe-in-pipe type heat exchanger, the heat exchange element of which is made in the form of a screw pipe. A experimental research technique has been developed, and the results of physical experiments on heat transfer, as is known, are generalized by criterion equations in which an equivalent diameter is used as a characteristic size. In this regard, the authors proposed a method for calculating the basic geometric characteristics of a screw heat-exchange element, and also obtained formulas for calculating the equivalent diameter of the pipe and annular space in a tube-in-pipe apparatus with a screw heat-exchange element. The results of this work can be used in the calculations and design of new promising heat exchange equipment.

One of the ways to intensify heat exchange processes is the creation of compact heat exchangers with a developed heat exchange surface. It is known that coil-type channels provide a developed heat exchange surface and belong to one of the most efficient and technological designs of heat exchange elements. In this regard, the authors proposed a small-size heat exchanger of the “pipe in pipe” type with an internal coil spring-twisted channel, and the authors of the proposed article developed mathematical models describing the heat-exchange surfaces of pipes of complex configurations, including coil spring-coiled channels. The equations of heat transfer surfaces are written in vector-parametric form based on the fundamental principles of analytical and differential geometry. In order to verify the adequacy and visualization of the written equations, surfaces were constructed using the Matlab application software package. The proposed mathematical models can be used in computer simulation of hydrodynamic processes during the flow of liquid media in curved channels, which will allow to explore and further optimize their internal geometry by changing the parameters of the equations. This work is a continuation of research on the creation of efficient heat exchangers.