Abstract
This article reviews the important aspects of creation of an adequate mathematical model of the propagation of the flame front at the SH-synthesis in the “mesocells” of heterogeneous powder mixture. The model takes into account the phase formation processes in accordance with the phase diagram of the system components and in assumption of staging of interphase chemical transformations (formation and decay) according to the scheme of metal-chemical reactions. The chemical reaction rate is determined by taking into account the function of the source of the exothermic heat generation in chemical reaction and the solutions of problems of the diffusion kinetics and balance ratios on the moving interfacial borders in reactionary “mesocell”.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Itin, V.I., Nayborodenko, Y.S.: High-temperature synthesis of intermetallic compounds, pp. 84–125. Publisher of Tomsk. University, Tomsk (1989) (in Russian)
Lapshin, O.V., Ovcharenko, V.E.: A mathematical model of high-temperature synthesis of nickel aluminide Ni 3 Al by thermal shock of a powder mixture of pure elements. J. Combustion, Explosion, and Shock Waves 32(3), 299–305 (1996)
Markov, A.A., Filimonov, I., Martirosyan, K.S.: Simulation of front motion in a reacting condensed two phase mixture. J. Comput. Phys. 231, 6714–6724 (2012)
Kovalev, O.B., Neronov, V.A.: Metallochemical Analysis of the Reaction in a Mixture of Nickel and Aluminum Powders. J. Combustion, Explosion and Shock Waves 40(2), 172–179 (2004)
Shults, D.S., Krainov, A.Y.: Numerical simulation of gasless combustion taking into account the heterogeneity of the structure and the temperature dependence of diffusion. J. Combustion, Explosion, and Shock Waves 48(5), 620–624 (2012)
Kovalev, O.B., Belyaev, V.V.: Mathematical modeling of metallochemical reactions in a two-species reacting disperse mixture. J. Combustion, Explosion, and Shock Waves 49(5), 563–574 (2013)
Lyubov, B.Y.: A diffusion processes in a non-uniform solid mediums, pp. 15–55. Nauka, Moscow (1981) (in Russian)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Jordan, V., Kotenev, S. (2014). Theoretical Aspects of Mathematical Modeling of SHS-Process with Consideration of the Diffusion Kinetics and Interphase Transformations in “Mesocells” of Heterogeneous Powder Mixture. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds) Information Technologies and Mathematical Modelling. ITMM 2014. Communications in Computer and Information Science, vol 487. Springer, Cham. https://doi.org/10.1007/978-3-319-13671-4_19
Download citation
DOI: https://doi.org/10.1007/978-3-319-13671-4_19
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13670-7
Online ISBN: 978-3-319-13671-4
eBook Packages: Computer ScienceComputer Science (R0)