Unified Energy Approach for Mathematical Description of Mechanical and Physical-Chemical Processes

Modern engineering and technology deal with systems where various physical and chemical processes occur simultaneously, such as mechanical, thermal, and chemical. Examples of such systems include heat engines, like reciprocating engines and gas turbine propulsion systems, and metallurgical production processes. To design and operate these systems, mathematical models are typically created. These systems are not only characterized by physical and chemical interactions, but also by complex cross-links that can be difficult or impossible to account for in practice. To solve this challenge, the authors suggest using the method of mathematical prototyping of energy processes (MMEP). This method is an energy dynamic development of Hamiltonian mechanics and the formalisms of nonequilibrium thermodynamics and electrodynamics. This article presents a unified approach to modeling systems that involve simultaneous mechanical motion, chemical reactions, and heat transfer, based on the MMEP.

analytical mechanics, modern nonequilibrium thermodynamics, method of energy processes mathematical prototyping