Abstract:
An adjoint distributed mathematical model is proposed to describe the ignition and combustion of a magnesium particle with allowance for the gas area surrounding the particle. The combustion process is modeled within the framework of the single-phase Stefan problem. Verification of the model on the basis of available experimental values of ignition and combustion times under various conditions is performed.
Keywords:
ignition, combustion, heterogeneous chemical reaction, mathematical modeling, free boundary.
Citation:
A. V. Fedorov, A. V. Shulgin, “Modeling of combustion of a magnesium particle (Stefan problem)”, Fizika Goreniya i Vzryva, 45:6 (2009), 20–25; Combustion, Explosion and Shock Waves, 45:6 (2009), 651–656
\Bibitem{FedShu09}
\by A.~V.~Fedorov, A.~V.~Shulgin
\paper Modeling of combustion of a magnesium particle (Stefan problem)
\jour Fizika Goreniya i Vzryva
\yr 2009
\vol 45
\issue 6
\pages 20--25
\mathnet{http://mi.mathnet.ru/fgv1346}
\elib{https://elibrary.ru/item.asp?id=14348731}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2009
\vol 45
\issue 6
\pages 651--656
\crossref{https://doi.org/10.1007/s10573-009-0080-y}
Linking options:
https://www.mathnet.ru/eng/fgv1346
https://www.mathnet.ru/eng/fgv/v45/i6/p20
This publication is cited in the following 5 articles:
Peyman Maghsoudi, Mehdi Bidabadi, “Modeling of combustion of moving porous magnesium particle considering variable particle size”, HFF, 30:6 (2020), 3211
Dong Han, Jin Zhang, Jinfeng Huang, Yong Lian, Guangyu He, “A review on ignition mechanisms and characteristics of magnesium alloys”, Journal of Magnesium and Alloys, 8:2 (2020), 329
Jan Bendtsen, John Leth, 2016 European Control Conference (ECC), 2016, 2185
Li-Ya Huang, Zhi-Xun Xia, Wei-Hua Zhang, Xu Huang, Jian-Xin Hu, “Combustion of a single magnesium particle in water vapor”, Chinese Phys. B, 24:9 (2015), 094702
A. V. Fedorov, A. V. Shulgin, “Mathematical modeling of melting of nano-sized metal particles”, Combustion, Explosion and Shock Waves, 47:2 (2011), 147–152