Section
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Mechanics
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Title
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Modeling of heat and mass transfer in the discontinuum approximation
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Author(-s)
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Martynenko S.I.abc
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Affiliations
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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
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Abstract
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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.
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Keywords
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continuum medium, Knudsen number, phenomenological approach, mathematical modeling, heat and mass transfer
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UDC
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532.5.013
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MSC
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76A02, 676D05, 76M12
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DOI
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10.35634/vm240109
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Received
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24 December 2023
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Language
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Russian
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Citation
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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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