Simulation of diffusion processes during electrothermal treatment of reaction crucibles of the Fe-Sn system
https://doi.org/10.17586/2226-1494-2023-23-1-202-209
Abstract
The diffusion processes regularity in the reaction crucibles of the iron-tin system during their electrothermal treatment was studied by the numerical simulation methods. The effect of current density and temperature on the processes of heat and mass transfer in the reaction zone has been studied. Numerical simulation was performed by the finite element method. The developed model includes mechanical, thermal, electrical and chemical processes during the electrothermal treatment of the iron-tin system in the reaction crucible, taking into account the distribution of components under various processing conditions of the reaction crucible. A comparative analysis of the calculated data on the diffusion of tin into iron under conditions of long-term exposure to high temperatures without the application of an electric voltage and when the reaction zone is heated by passing a high-density electric current is performed. A picture of the distribution of mass fractions of components depending on the type of impact is obtained. The penetration depth of the interacting components was determined and the intensity of the mass transfer processes was assessed. The regularities of heat and mass transfer in the system of iron and tin with a change of the process initial parameters are established. The model was verified by comparing the simulation results with the data of full-scale experiments on control samples. The research results can be used to predict the conditions for obtaining new functional materials.
About the Authors
V. E. FominRussian Federation
Vladislav E. Fomin - PhD Student
Saint Petersburg, 197101
A. S. Tukmakova
Russian Federation
Anastasiia S. Tukmakova - PhD, Associate Professor
Saint Petersburg, 197101
G. A. Bolkunov
Russian Federation
Gennady A. Bolkunov - PhD Student
Saint Petersburg, 197101
A. V. Novotelnova
Russian Federation
Anna V. Novotelnova - PhD, Associate Professor
Saint Petersburg, 197101
F. Yu. Bochkanov
Russian Federation
Fedor Yu. Bochkanov - Junior Researcher
Moscow, 119049
D. Yu. Karpenkov
Russian Federation
Dmitry Yu. Karpenkov - PhD (Physics & Mathematics); Senior Researcher
Researcher
Moscow, 119049
Moscow, 119991
References
1. Li X., Xu L., Ding L., Wang J., Shen M., Lu X., Zhu Z., Behnia K. Anomalous Nernst and Righi-Leduc effects in Mn3Sn: Berry curvature and entropy flow. Physical Review Letters, 2017, vol. 119, no. 5, pp. 056601. https://doi.org/10.1103/PhysRevLett.119.056601
2. Bulat L.P., Nefedova I.A. Nonlinear thermoelectric phenomena. Journal of International Academy of Refrigeration, 2012, no. 4, pp. 54–56. (in Russian)
3. Sales B.C., Saparov B., McGuire M.A., Singh D.J., Parker D.S. Ferromagnetism of Fe3Sn and alloys. Scientific Reports, 2014, vol. 4, no. 1, pp. 7024. https://doi.org/10.1038/srep07024
4. Predel B. Fe-Sn (Iron-Tin). Dy-Er–Fr-Mo, 1995, pp. 1–5. https://doi.org/10.1007/10474837_1342
5. Levashov E.A., Mukasyan A.S., Rogachev A.S., Shtansky D.V. Selfpropagating high-temperature synthesis of advanced materials and coatings. International Materials Reviews, 2017, vol. 62, no. 4, pp. 203–239. https://doi.org/10.1080/09506608.2016.1243291
6. Orrù R., Licheri R., Locci A.M., Cincotti A., Cao G. Consolidation/synthesis of materials by electric current activated/assisted sintering. Materials Science and Engineering: R: Reports, 2009, vol. 63, no. 4-6, pp. 127–287. https://doi.org/10.1016/j.mser.2008.09.003
7. Nikbakht R., Assadi H. Phase-field modelling of self-propagating high-temperature synthesis of NiAl. Acta Materialia, 2012, vol. 60, no. 10, pp. 4041–4053. https://doi.org/10.1016/j.actamat.2012.04.017
8. Lin S., Yeh C., Xie W., Liu Y., Yoshimura M. Ab initio-aided CALPHAD thermodynamic modeling of the Sn-Pb binary system under current stressing. Scientific Reports, 2013, vol. 3, no. 1, pp. 2731. https://doi.org/10.1038/srep02731
9. Fayyazi B., Skokov K.P., Faske T., Karpenkov D.Y., Donner W., Gutfleisch O. Bulk combinatorial analysis for searching new rareearth free permanent magnets: Reactive crucible melting applied to the Fe-Sn binary system. Acta Materialia, 2017, vol. 141, pp. 434–443. https://doi.org/10.1016/j.actamat.2017.09.036
10. Chen C.-M., Chen S.-W. Electromigration effect upon the Zn/Ni and Bi/Ni interfacial reactions. Journal of Electronic Materials, 2000, vol. 29, no. 10, pp. 1222–1228. https://doi.org/10.1007/s11664-000-0016-5
11. Pierce D.G., Brusius P.G. Electromigration: A review. Microelectronics Reliability, 1997, vol. 37, no. 7, pp. 1053–1072. https://doi.org/10.1016/s0026-2714(96)00268-5
12. Goll D., Loeffler R., Hohs D., Schneider G. Reaction sintering as a high-throughput approach for magnetic materials development. Scripta Materialia, 2018, vol. 146, pp. 355–361. https://doi.org/10.1016/j.scriptamat.2017.05.004
13. Buch A. Pure Metals Properties: A Scientific and Technical Handbook. ASM International, 1999, 306 p.
14. Iwashita N., Imagawa H., Nishiumi W. Variation of temperature dependence of electrical resistivity with crystal structure of artificial graphite products. Carbon, 2013, vol. 61, pp. 602–608. https://doi.org/10.1016/j.carbon.2013.05.042
15. Patel A.B., Bhatt N.K., Thakore B.Y., Vyas P.R., Jani A.R. The temperature-dependent electrical transport properties of liquid Sn using pseudopotential theory. Molecular Physics, 2014, vol. 112, no. 15, pp. 2000–2004. https://doi.org/10.1080/00268976.2013.877169
16. Klemens P.G., Pedraza D.F. Thermal conductivity of graphite in the basal plane. Carbon, 1994, vol. 32, no. 4, pp. 735–741. https://doi.org/10.1016/0008-6223(94)90096-5
17. Eiling A., Schilling J.S. Pressure and temperature dependence of electrical resistivity of Pb and Sn from 1-300K and 0-10 GPa-use as continuous resistive pressure monitor accurate over wide temperature range; superconductivity under pressure in Pb, Sn and In. Journal of Physics F: Metal Physics, 1981, vol. 11, no. 3, pp. 623–639. https:// doi.org/10.1088/0305-4608/11/3/010
18. Chapman T.W. The heat capacity of liquid metals. Materials Science and Engineering, 1966, vol. 1, no. 1, pp. 65–69. https://doi.org/10.1016/0025-5416(66)90012-7
19. Taylor G.R., Isin A., Coleman R.V. Resistivity of iron as a function of temperature and magnetization. Physical Review, 1968, vol. 165, no. 2, pp. 621–631. https://doi.org/10.1103/physrev.165.621
20. Torres D.N., Perez R.A., Dyment F. Diffusion of tin in α-iron. Acta Materialia, 2000, vol. 48, no. 11, pp. 2925–2931. https://doi.org/10.1016/s1359-6454(00)00074-4
21. Neumann G., Tuijn C. Self-Diffusion and Impurity Diffusion in Pure Metals: Handbook of Experimental Data. Elsevier, 2011, 360 p.
22. Ishida T. The reaction of solid iron with molten tin. Transactions of the Japan Institute of Metals, 1973, vol. 14, no. 1, pp. 37–44. https:// doi.org/10.2320/matertrans1960.14.37
Review
For citations:
Fomin V.E., Tukmakova A.S., Bolkunov G.A., Novotelnova A.V., Bochkanov F.Yu., Karpenkov D.Yu. Simulation of diffusion processes during electrothermal treatment of reaction crucibles of the Fe-Sn system. Scientific and Technical Journal of Information Technologies, Mechanics and Optics. 2023;23(1):202-209. (In Russ.) https://doi.org/10.17586/2226-1494-2023-23-1-202-209