Model of SPS Two-Stadium Synthesis and Densification Reactor Applied for Ultrafine Zirconium Nitride Powder

Article Preview

Abstract:

The volumetric changes and variable porosity due to the concentration expansion of the solid phase in the synthesis of zirconium nitride (ZrN) are studied. The model of two-stage reactor based on spark plasma sintering (SPS) is proposed. At the first stage the synthesis for the given kinetics is simulated. At the second stage the densification of ZrN using the Olevsky’s sintering model [1-5] is applied. The synthesis and densification processes using the prescribed heat sources, at the given positions inside the reactor is simulated. The generalization of the two-temperature model [6] and the formula of the porosity in the densification using calculation of the solid concentration expansion and thermal dispersion is proposed. The concentration expansion coefficients in the process of zirconium nitrogenating at a given initial density values and coefficients of expansion of reagents .is studied The temperature at the stage of ZrN synthesis and porosity variation at the stage of densification are in satisfactory agreement with experimental results [2,7,8]

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volume 1085)

Pages:

113-118

Citation:

Online since:

April 2023

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2023 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] E.A. Olevsky, Theory of sintering: from discrete to continuum, Mat Sci Eng. R 23(2) (1998) 41-100.

Google Scholar

[2] G. Lee, E.A. Olevsky, C. Maniere, A. Maximenko, O. Izhvanov, C. Back, J. McKit- trick, Effect of electric current on densification behavior of conductive ceramic powders consolidated by spark plasma sintering. Acta Materialia, 2017.

DOI: 10.1016/j.actamat.2017.11.010

Google Scholar

[3] Bernard-Granger, C. Guizard, Spark plasma sintering of a commercially available granulated zirconia powder: I. Sintering path and hypotheses about the mechanism(s) controlling densification, Acta Mater. 55 (2007).

DOI: 10.1016/j.actamat.2007.01.048

Google Scholar

[4] E.A. Olevsky, L. Froyen, Impact of thermal diffusion on densification during, SPS, J. Am. Ceram. Soc. 92 (2009).

DOI: 10.1111/j.1551-2916.2008.02705.x

Google Scholar

[5] G. Lee, J. McKittrick, E. Ivanov, E.A. Olevsky, Densification mechanism and mechanical properties of tungsten powder consolidated by spark plasma sintering, Int. J. Refract. Met. Hard Mater. 61 (2016) 22-29.

DOI: 10.1016/j.ijrmhm.2016.07.023

Google Scholar

[6] A.A. Markov, I.A. Filimonov, and K.S. Martirosyan, Synthesis simulation of submicron particles of complex oxides, Theoretical Foundations of Chemical Engineering. 1 (2017) 1-12.

Google Scholar

[7] Shijiao Zhao, Jingtao Ma, Rui Xu, Xuping Lin, Xing Cheng, Shaochang Hao, Xingyu Zhao, Changsheng Deng, Bing Liu.Synthesis and Characterization of Zirconium Nitride Nanopowders by Internal Gelation and Carbothermic Nitridation, CIENTIFIC REPORTS. 9 (2019) 19199.

DOI: 10.1038/s41598-019-55450-x

Google Scholar

[8] A.A. Ditc, Oxynitride ceramic materials forestry products via combustion of industrial metals in the air, Thesis, Tomsk, 2006.

Google Scholar

[9] S. Whitaker, Transport equations for multi-phase systems Chemical Engineering Science. vol. 28 (1973) 139-147.

DOI: 10.1016/0009-2509(73)85094-8

Google Scholar

[10] C.T. Hsu, P. Cheng, Thermal dispersion in a porous medium, Int. J. Heat Mass Transf. 33 (1990) 1587–1597.

DOI: 10.1016/0017-9310(90)90015-m

Google Scholar

[11] M. Fatehi and M. Kaviany, Role of gas-phase reaction and gas-solid thermal nonequilibrium in reverse combustion, Int Heat Mass Transfer. 11 (1997) 2607-20.

DOI: 10.1016/s0017-9310(96)00282-7

Google Scholar

[12] F.M. Pereira, A.A.M. Oliveira and F.F. Fachini, Theoretical analysis of ultra-lean premixed flames in porous inert media, J. Fluid Mech. 657 (2010) 285–307.

DOI: 10.1017/s0022112010001461

Google Scholar

[13] M. Fatehi and M. Kaviany, Role of gas-phase reaction and gas-solid thermal nonequilibrium in reverse combustion, Int. Heat Mass Transfer. 11 (1997) 2607-2620.

DOI: 10.1016/s0017-9310(96)00282-7

Google Scholar

[14] Delgado JMPQ, Longitudinal and transverse dispersion in porous media, Chem Eng Res Des. 85 (2007) 1245–1252.

Google Scholar

[15] А.А. Markov, On Thermal and Mass Dispersion Effect on Barium Titanate Synthesis via CCSO, Physical-Chemical Kinetics in Gas Dynamics, Vol. 20(4) (2019) 1-14. http://chemphys.edu.ru/issues/2019-20-4/articles/870/, http://www.chemphys.edu.ru

DOI: 10.33257/PhChGD.20.4.870

Google Scholar

[16] S.N. Sorokova, A.G. Knyazeva, Associated model of sintering powders of the Ti-TiAI3 system, Bulletin of the Tomsk Polytech Univ. Vol. 314, 2 (2009) 96-101.

Google Scholar

[17] A.A. Markov, On fine particles synthesis using three-zone reactor August 2020, Journal of Physics Conference Series. 1611 (2020) 012047.

DOI: 10.1088/1742-6596/1611/1/012047

Google Scholar

[18] A.A. Markov, On the synthesis model of the titanate of barium in the three-zone reactor with the effects of thermal and concentration expansion. Physical-chemical kinetics in the gas dynamics. Vol. 22, 1 (2021), http://chemphys.edu.ru/issues/2021-22-1/articles/924/.

DOI: 10.33257/PhChGD.22.1.924

Google Scholar

[19] A.A. Markov, Jump-Slip simulation technique for combustion in submicron tubes and submicron pores, Computers and Fluids 99C, 2014, pp.83-92.

DOI: 10.1016/j.compfluid.2014.04.012

Google Scholar

[20] А.А. Markov, М.А. Hobosyan, and К.S. Martirosyan, Ferrite Synthesis Simulation via Carbon Combustion using Slip, Temperature, and Concentration Gas Species Jump at Pore Surface. Physical-Chemical Kinetics in Gas Dynamics. Vol. 16(1) (2015). http://chemphys.edu.ru/issues/2015-16-1/articles/506/.

Google Scholar

[21] A.A. Markov, I.A. Filimonov, Model of thermal radiation using heat absorption by CO2 in submicron pores with application to magnesium-zinc ferrite fine disperse particles synthesis via combustion, IOP Conf. Series: Journal of Physics: Conf. Series. 1009 (2018) 012040, pp.1-14.

DOI: 10.1088/1742-6596/1009/1/012040

Google Scholar