Keywords
electric spark dispersion of metals
distribution of spark-erosion particles розрядні імпульси
електроіскрове диспергування металів
розподіл іскроерозійних частинок
How to Cite
Abstract
The conditions and technique for obtaining single-mode size distributions of spark-erosive aluminum particles are given. The statistical parameters of the size distributions of spark-erosive aluminum particles and caverns on the surface of its granules, obtained at a submilisecond duration of discharge pulses were calculated. A comparative analysis of the volumes of metal of erosion caverns and particles is carried out. The agreement of the diameter distributions of spark-erosive particles and caverns obtained in practice with the following theoretical distributions of a continuous random variable: Gauss, Weibull, the integral of the Rosin-Rammler function, and also log-normal distribution is verified. In this case, the parameters of theoretical distributions were calculated both by the statistical parameters of the distributions obtained in practice, and by the criterion of the smallest value of the average module of the relative deviation of the theoretical and practical distributions. It has been shown that for the values of the parameters of theoretical distributions that correspond to the statistical parameters of practical distributions, the distribution of erosive particles by diameters is in the best agreement with the Gauss distribution, and the caverns – with the distribution of integral of the Rosin-Rammler function. References 27, figures 2, tables 3.
References
Berkowitz A.E., Walter J.L. Spark Erosion: A Method for Producing Rapidly Quenched Fine Powders. Journal of Materials Research. 1987. No 2. Pp. 277–288. DOI: https://doi.org/10.1088/0957-4484/23/41/415604
Solomon V.C., McCartney M., Tang Y.J., Berkowitz A.E., O'Handley R.C., Smith D.J. Magnetic domain configurations in spark-eroded ferromagnetic shape memory Ni-Mn-Ga particles. Appl. Phys. Lett. 2005. Vol. 86. P. 192503-1 – 192503-3. DOI: https://doi.org/10.1063/1.1925319
Liu Y., Zhu K., Li X., Lin F., Li Y. Analysis of multi-scale Ni particles generated by ultrasonic aided electrical discharge erosion in pure water. Advanced Powder Technology. 2018. Vol. 29. Issue 4. Pp. 863–873. DOI: https://doi.org/10.1016/j.apt.2018.01.003
Berkowitz A.E., Harper H., Smith D.J., Hu H., Jiang Q., Solomon V.C., Radousky H.B. Hollow Metallic Microspheres Produced by Spark Erosion. Applied Physics Letters. 2004. Vol. 85. Pp. 940–942. DOI: https://doi.org/10.1063/1.1779962
Ochin P., Gilchuk A.V, Monastyrsky G.E., Koval Yu.N., Shcherba A.A, Zaharchenko S.N Martensitic Transformation in Spark Plasma Sintered Compacts of Ni-Mn-Ga Powders Prepared by Spark Erosion Method in Cryogenic Liquids. Materials Science Forum. 2013. Vol. 738. P. 451–455. DOI: https://doi.org/10.4028/www.scientific.net/msf.738-739.451
Monastyrskii G.E., Koval’ Yu.N., Shpak A.P., Musienko R.Ya., Kolomytsev V.I., Shcherba A.A., Zakharchenko S.N., Yakovenko P.G. Electrospark Powders of Shape Memory Alloys. Powder Metallurgy and Metal Ceramics. 2007. Vol. 46. No 5-6. Pp. 207–216. DOI: https://doi.org/10.1007/s11106-007-0034-4
Berkowitz A.E., Hansen M.F., Parker F.T., Vecchio K.S., Spada F.E., Lavernia E.J., Rodriguez R. Amorphous soft magnetic particles produced by spark erosion. Journal of Magnetism and Magnetic Materials. 2003. Vol. 254–255. Pp. 1–6. DOI: https://doi.org/10.1016/S0304-8853(02)00932-0
Hong J.I., Parker F.T., Solomon V.C., Madras P., Smith D.J., Berkowitz A.E. Fabrication of spherical particles with mixed amorphous/crystalline nanostructured cores and insulating oxide shells. Journal of Materials Research. 2008. Vol. 23. Issue 06. Pp. 1758–1763. DOI: https://doi.org/10.1557/JMR.2008.0199
Nguyen P.K., Lee K.H., Kim S.I., Ahn K.A., Chen L.H., Lee S.M., Chen R.K., Jin S., Berkowitz A.E. Spark erosion: a high production rate method for producing Bi0.5Sb1.5Te3 nanoparticles with enhanced thermoelectric performance. Nanotechnology. 2012. Vol. 23. Pp. 415604-1 – 415604-7.
Shcherba A.A., Zakharchenko S.N., Lopatko K.G., Aftandilyants E.G. Application of volume electric spark dispersion for production steady to sedimentation hydrosols of biological active metals. Pratsi Instytutu Elektrodynamiky Natsionalnoi Akademii Nauk Ukrainy. 2009. Issue 22. Pp. 74–79. (Rus)
Lopatko K.G., Melnichuk M.G., Aftandilyants Y.G., Gonchar E.N., Boretskij V.F., Veklich A.N., Zakharchenko S.N., Tugay T.I., Tugay A.V., Trach V.V. Obtaining of metallic nanoparticles by plasma-erosion electrical discharges in liquid mediums for biological application. Annals of Warsaw University of Life Sciences – SGGW Agriculture. 2013. Vol. 61. Pp. 105–115.
Lopatko K.G., Melnichuk M.D. Physics, synthesis and biological functionality of nanosize objects. Kyiv: Vidavnychii centr Natsionalnoho Universytetu Bioresursiv i Pryrodokorystuvannia Ukrainy, 2013. 297 p. (Ukr)
Goncharuk V.V., Shcherba A.A., Zakharchenko S.N., Savluk O.S., Potapchenko N.G., Kosinova V.N. Disinfectant action of the volume electrospark discharges in water. Khimiia i tehnologiia vody. 1999. No 3. Vol. 21. Pp. 328 – 336. (Rus)
Danilenko N.B., Savel’ev G.G., Yavorovskii N.A., Khaskel’berg M.B., Yurmazova T.A., Shamanskii V.V. Water purification to remove As(V) by electropulse treatment of an active metallic charge. Russian Journal of Applied Chemistry. 2005. Vol. 78. No 10. Pp. 1631–1635.
Kornev Ia., Saprykin F., Lobanova G., Ushakov V., Preis S. Spark erosion in a metal spheres bed: Experimental study of the discharge stability and energy efficiency. Journal of Electrostatics. 2018. Vol. 96. Pp. 111–118. DOI: https://doi.org/10.1016/j.elstat.2018.10.008 .
Shcherba A.A., Podoltsev A.D., Kucheryavaya I.N. The study of erosive destruction of materials during electrical spark treatment of conductive granular media. Tekhnichna Electrodynamika. 2006. No 1. Pp. 3–10. (Rus)
Shydlovska N.A., Zakharchenko S.M., Cherkaskyi O.P. Physical Prerequisites of Construction of Mathematical Models of Electric Resistance of Plasma-erosive Loads. Tekhnichna Electrodynamika. 2017. No 2. Pp. 5–12. (Ukr) DOI: https://doi.org/10.15407/techned2017.02.005
Zakharchenko S.N., Kondratenko I.P., Perekos A.E., Zalutsky V.P., Kozyrsky V.V., Lopatko K.G. Influence of discharge pulses duration in a layer of iron granules on the size and structurally-phase conditions of its electroerosion particles. Eastern-European Journal of Enterprise Technologies. 2012. Vol. 6. No 5 (60). Pp. 66–72. (Rus)
Kremer N.Sh. Probability Theory and Mathematical Statistics. Moskva: Unity–Dana, 2004. 573 p.
Yezepov D. Pearson's consent criterion (Chi-square).URL: https://statanaliz.info/statistica/proverka-gipotez/kriterij-soglasiya-pirsona-khi-kvadrat/ (accessed at 13.05.2020). (Rus)
Ventzel E.S. Theory of Probability. Moskva: Nauka, 1969. 576 p. (Rus)
Kireyev V.V., Popov D.M., Ratnikov S.A., Grachev A.V. Development of Estimation Technique for Disperse Medium with Complex Composition. Tekhnika i tekhnologiya pishchevykh proizvodstv. 2012. No 1(24). Pp. 107–112. (Rus)
Berezhnaya E.V., Berezhnoy V.I. Mathematical Methods of Modeling Economic Systems: Moskva: Finance and Statistics, 2006. 432 p.
Shydlovskaya N.A., Zakharchenko S.N., Cherkasskyi A.P. Nonlinear-parametrical Model of Electrical Resistance of Current-Carrying Granulated Mediums for a Wide Range of Applied Voltage. Tekhnichna Elektrodynamika. 2014. No 6. Pp. 3–17. (Rus)
Weibull distribution. URL: https://en.wikipedia.org/wiki/Weibull_distribution (accessed at 15.05.2020).
Rosin P., Rammler E. The Laws Governing the Fineness of Powdered Coal. Journal of the Institute of Fuel. 1933. Vol. 7. Pp. 39–36.
Kolmogorov A.N. About the logarithmically normal law of particle size distribution during the crushing. Reports of the Academy of Sciences of the USSR. 1941. Vol. 31. Pp. 99–101.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Copyright (c) 2021 Array