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Russia Chernogolovka; Moscow
Section Mechanics
Title Modeling of heat and mass transfer in the discontinuum approximation
Author(-s) Martynenko
Affiliations Bauman Moscow State Technical Universitya, Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry, Russian Academy of Sciencesb, Joint Institute for High Temperatures, Russian Academy of Sciencesc
Abstract The article presents a theoretical analysis of the governing equations expressing the fundamental conservation laws in the continuum and discontinuum approximations, and methods for solving problems of hydrodynamics as one of the most important subfields of continuum mechanics. This article is an attempt to more accurately describe physicochemical macro-processes. It is shown that the most suitable equations for computer modeling are the conservation laws under natural constraints on the minimum spatial and time scales, i.e., equations without partial derivatives and constraints on the solution smoothness. Using the continuity and thermal conductivity equations, a phenomenological method for constructing and numerically solving the governing equations is presented, and comparison with the traditional approach is given.
Keywords continuum medium, Knudsen number, phenomenological approach, mathematical modeling, heat and mass transfer
UDC 532.5.013
MSC 76A02, 676D05, 76M12
DOI 10.35634/vm240109
Received 24 December 2023
Language Russian
Citation Martynenko S.I. Modeling of heat and mass transfer in the discontinuum approximation, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2024, vol. 34, issue 1, pp. 137-164.
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