Slip-Jump Model for Carbon Combustion Synthesis of Complex Oxide Nanoparticles

  • A. A. Markov IPMech RAS, Moscow 119526, Russia
  • M. A. Hobosyan Department of Physics, University of Texas at Rio Grande Valley, Brownsville, TX 78520, USA
  • K. S. Martirosyan Department of Physics, University of Texas at Rio Grande Valley, Brownsville, TX 78520, USA


Carbon Combustion Synthesis of Oxides (CCSO) is a promising method to produce submicron- and nano- sized complex oxides. The CCSO was successfully utilized for producing several complex oxides, a complete theoretical model including the sample porosity, fl ow parameters and reaction energetics is needed to predict the combustion parameters for CCSO. In this work, we studied the ignition temperature and combustion wave axial temperature distribution, activation energy, combustion heat and thermal losses for a typical CCSO synthesis for cylindrical samples of Ni-Zn ferrites with high (>85%) porosity. We developed a two level combustion model of chemically active nano-dispersed mixture, using the experimentally measured ignition temperature and combustion parameter values utilizing the slipjump method for high Knudsen numbers. The theoretical predictions of highly porous samples when the fl ow resistivity is small and the gas can easily fl ow through the cylindrical sample are in good agreement with the experimental data. The calculation of combustion characteristics for the lower porosity values demonstrated that the surface combustion was dominated due to high gas fl ow resistivity of the sample. Finger combustion features were observed at this combustion mode.


[1]. M. Kurzyp, C.A. Mills, R. Rhodes, T.R. Pozegic, C.T.G. Smith, M.J. Beliatis, L.J. Rozanski, A. Werbowy, and S.R.P. Silva, J. Phys. D: Appl. Phys. 48 (11) (2015) 115305.

[2]. Jan Eijkel, Lab Chip 7 (2007) 299–301.

[3]. Gerhard Hummer, Jayendran C. Rasaiah, and Jerzy P. Noworyta. Nature 414 (6860) (2001) 188–190.

[4]. A. Kalra, Sh. Garde, and G. Hummer, Proceedings of the National Academy of Sciences 100 (18) (2003) 10175–10180.

[5]. Neto, Chiara, Drew R. Evans, Elmar Bonaccurso, Hans-Jürgen Butt, and Vincent SJ Craig. Rep. Prog. Phys. 68 (12) (2005) 2859–2897.

[6]. Ajdari, Armand, and Lydéric Bocquet. Phys. Rev. Lett. 96 (18) (2006) 186102.

[7]. Holt, Jason K., Hyung Gyu Park, Yinmin Wang, Michael Stadermann, Alexander B. Artyukhin, Costas P. Grigoropoulos, Aleksandr Noy, and Olgica Bakajin, Science 312 (5776) (2006) 1034–1037.

[8]. A.A. Markov, Computers & Fluids 99 (2014) 83–92.

[9]. Cheng, Hsien K. The blunt-body problem in hypersonic fl ow at low Reynolds number. No. AF1285A10. CORNELL AERONAUTICAL LAB INC BUFFALO NY, 1963.

[10]. I.G. Brykina, B.V. Rogov and G.A. Tirskiy, J. Appl. Math. Mech. 73 (5) (2009) 502–513.

[11]. Errol B. Arkilic, Martin A. Schmidt, and Kenneth S. Breuer, Journal of Microelectromechanical Systems 6 (2) (1997) 167–178.

[12]. Karen S. Martirosyan, and Dan Luss. “Carbon combustion synthesis of oxides.” U.S. Patent 7,897,135, issued March 1, 2011.

[13]. K. S. Martirosyan, and D. Luss, AlChE J. 51 (10) (2005) 2801–2810.

[14]. K.S. Martirosyan, and D. Luss, Ind. & Eng. Chem. Res. 46 (5) (2007) 1492–1499.

[15]. Andrey A. Markov, Computers & Fluids 38 (7) (2009) 1435–1444.

[16]. Andrey A. Markov, Igor A. Filimonov, and Karen S. Martirosyan, Journal of Computational Physics
231 (20) (2012) 6714–6724.

[17]. A.A. Markov, I.A. Filimonov, and K.S. Martirosyan, Int. J. Self-Propag. High-Temp Synth. 22 (1) (2013) 11–17.

[18]. A. Markov, Computational Fluid Dynamics Review 368 (2010) 583–600.

[19]. Andrey Markov, Igor Filimonov, and Karen Martirosyan. “Thermal reaction wave simulation using micro and macro scale interaction model.” In Computational Fluid Dynamics 2010, pp. 929–936. Springer Berlin Heidelberg, 2011.

[20]. M.J. Starink. Thermochim. Acta 404 (1) (2003) 163–176.

[21]. D.A. Frank-Kamenetskii, Diffusion and Heat Exchange in Chemical Kinetics, Princeton Legacy Library,
p. 384, 2015.
How to Cite
A. Markov, M. Hobosyan, and K. Martirosyan, “Slip-Jump Model for Carbon Combustion Synthesis of Complex Oxide Nanoparticles”, Eurasian Chem. Tech. J., vol. 18, no. 3, pp. 223-232, Sep. 2016.