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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2024, Number 88, Pages 138–148
DOI: https://doi.org/10.17223/19988621/88/11
(Mi vtgu1075)
 

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

On a mathematical model of the interaction of a high-temperature plasma flow with a wood surface

V. A. Cheremnykha, G. G. Volokitina, V. D. Goldinb, S. A. Basalaevb, A. A. Klopotova, N. A. Tsvetkova

a Tomsk State University of Architecture and Building, Tomsk, Russian Federation
b Tomsk State University, Tomsk, Russian Federation
References:
Abstract: In this study, the processes of thermal decomposition of wood during its treatment with a plasma flow are considered. To develop a mathematical model of these processes, a differential thermogravimetric analysis of the heating of larch samples in an argon atmosphere at a rate of 10-20 degrees/min is carried out. Based on the results obtained, a mathematical model of thermal decomposition is proposed, including four stages. The wood during heating is represented by a mixture of six components. At each stage, the kinetic parameters of the reactions are determined by processing measurements at a heating rate of 20 degrees/min. The equations of chemical kinetics describing changes in the mass of wood components are numerically solved using the finite-difference implicit Euler method and the obtained reaction parameters. The numerical solution to the equations of chemical kinetics with these parameters shows satisfactory agreement with the data from the corresponding experiment. The calculation performed at a heating rate of 10 degrees/min with the same kinetic parameters also shows satisfactory agreement with the measurements. Thus, the obtained reaction parameters do not depend on the heating rate in the considered range. The proposed model can be used in the mathematical description of changes in the structure and thermal state of wood samples exposed to high-temperature plasma flow treatment.
Keywords: physical and chemical mechanics, heat treatment of wood, pyrolysis, kinetics of thermal decomposition, mathematical modeling.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FEMN-2023-0003
This work was carried out within the framework of the state as signment of the Ministry of Science and Higher Education of the Russian Federation (No. FEMN-2023-0003).
Received: 17.11.2023
Accepted: April 10, 2024
Document Type: Article
UDC: 536.245, 536.42
Language: Russian
Citation: V. A. Cheremnykh, G. G. Volokitin, V. D. Goldin, S. A. Basalaev, A. A. Klopotov, N. A. Tsvetkov, “On a mathematical model of the interaction of a high-temperature plasma flow with a wood surface”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 88, 138–148
Citation in format AMSBIB
\Bibitem{CheVolGol24}
\by V.~A.~Cheremnykh, G.~G.~Volokitin, V.~D.~Goldin, S.~A.~Basalaev, A.~A.~Klopotov, N.~A.~Tsvetkov
\paper On a mathematical model of the interaction of a high-temperature plasma flow with a wood surface
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2024
\issue 88
\pages 138--148
\mathnet{http://mi.mathnet.ru/vtgu1075}
\crossref{https://doi.org/10.17223/19988621/88/11}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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