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Open AccessArticle
Analysis of the Limiting Values of Thermodynamic Parameters for Jouguet Detonation
1
Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine
2
Faculty of Computer Science and Engineering Science, TH Köln—University of Applied Sciences, 51643 Gummersbach, Germany
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2419; https://doi.org/10.3390/math13152419 (registering DOI)
Submission received: 7 July 2025
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Revised: 24 July 2025
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Accepted: 26 July 2025
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Published: 27 July 2025
Abstract
An analytical study of the interaction of an ideal gas flow with a detonation wave was performed with account for the activation energy of chemical processes. Based on the modified Rankine-Hugoniot conditions, the effect of heat release on the limiting characteristics of detonation was analyzed. A dependence of the limiting value of the exponent Arrhenius number on the Mach number before the shock wave has been obtained. As the Mach number increases, the limiting value of the Arrhenius number decreases. An equation has been derived for determining the limiting value of the compression ratio in the shock wave. The effect of heat release intensity on the limiting compression ratio in a shock wave was elucidated. Also studied were effects of the Mach number and the Arrhenius number on the limiting compression ratio in a detonation wave. A condition for determining the critical value of the Arrhenius number necessary for the onset of detonation was obtained. Effects of the Mach number and the exponent of the Arrhenius number on the critical value of the amplitude Arrhenius number were discussed. The symmetry analysis of the gas flow parameters when passing through a detonation wave was performed.
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MDPI and ACS Style
Avramenko, A.A.; Shevchuk, I.V.; Kovetskaya, M.M.; Kovetska, Y.Y.; Anastasiev, D.V.
Analysis of the Limiting Values of Thermodynamic Parameters for Jouguet Detonation. Mathematics 2025, 13, 2419.
https://doi.org/10.3390/math13152419
AMA Style
Avramenko AA, Shevchuk IV, Kovetskaya MM, Kovetska YY, Anastasiev DV.
Analysis of the Limiting Values of Thermodynamic Parameters for Jouguet Detonation. Mathematics. 2025; 13(15):2419.
https://doi.org/10.3390/math13152419
Chicago/Turabian Style
Avramenko, Andriy A., Igor V. Shevchuk, Margarita M. Kovetskaya, Yulia Y. Kovetska, and Dmytro V. Anastasiev.
2025. "Analysis of the Limiting Values of Thermodynamic Parameters for Jouguet Detonation" Mathematics 13, no. 15: 2419.
https://doi.org/10.3390/math13152419
APA Style
Avramenko, A. A., Shevchuk, I. V., Kovetskaya, M. M., Kovetska, Y. Y., & Anastasiev, D. V.
(2025). Analysis of the Limiting Values of Thermodynamic Parameters for Jouguet Detonation. Mathematics, 13(15), 2419.
https://doi.org/10.3390/math13152419
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