Modeling of the Ions Streams by the Method of Particles
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Keywords:
method of particles, Maxwell’s equations, electrolytic refinement, square-law spline, mathematical model, migratory diffusionAbstract
The work is devoted to modeling of flows of the charged particles in an electrostatic field arising in the course of electrolysis between a surface of the cathode and the anode. The mixed method of particles adapted for modeling of the migratory diffusion of a stream of ions in the course of electrolytic refinement is given in the article. At the Eulerian stage potentials of an electrostatic field are modelled by means of Maxwell’s equations. At the Lagrangian stage the motion laws and trajectories of ions are developed in the form of the square-law splines . The results of computer modeling for the electrolytic refinement of copper are given.
References
1. Belotserkovsky, O.M., Davidov, Yu.M.: Metod krupnikh chastits v gazovoi dinamike (Methods of large particles in gas dynamics). Nauka, Moscow (1982)
2. Belotserkovsky, O.M.: Chislennoe modelirovaniye v mekhanike sploshnikh sred (Numerical modelling in a mechanics of continuous media). Nauka, Moskow (1984)
3. Berezin, Yu.A., Vshivkov, V.A.: Metod chastits v razrezhennoi plazme (Method of particles in dynamics of the rarefid plasma). Nauka, Novosibirsk (1980)
4. Vshivkov, V.A., Romanov, D.V., Snytnikov V.N.: Problema samopazogreva modelnoi plazmi v metode chastits (Problem of self-warming up of modelling plasma in the method of particles). Vichislitelniye tehnologii. 4, 62–72 (1999)
5. Grigoriev, Yu.N., Vshivkov, V.A., Fedoruk, M.P.: Chislennoye modelirovaniye metodami chastits-v-yacheykah (Numerical modelling by methods particles-in-meshes). Publishing house of the Siberian Branch of the Russian Academy of Science, Novosibirsk (2004)
6. Grigoriev, Yu.N.: Metod vikhrey-v-yacheykah dlya ploskikh szhimayemikh techenii (Method curls-in-meshes for flat contract currents). Vichislitelniye tehnologii. 9, 41–53 (2004)
7. Damaskin, B.B., Petry, O.A.: Vvedeniye v electrohimicheskuyu kinetiku (Introduction to electrochemical kinetics). Visshaya shkola, Moscow (1983)
8. Lyubanova, A.Sh., Mitin, K.V.: Modelirovaniye potoka zaryazhennikh chastits primenitelno k protsessam gazoochistki (Modelling’s of a stream of the charg particles with reference to processes of gas purification). Journal of the Siberian federal university. Series: Technics and technologies. 4, 642-652 (2011)
9. Mitin, K.V., Lyubanova, A.Sh.: Modelirovaniye potokov ionov v protsesse electroliticheskogo rafinirovaniya metodom chastits (Modeling of streams of ions in the course of electrolytic refinement by method of particles) Fundamentalniye issledovaniya. № 9-3, 662-666 (2012)
10. Mitin, K.V.: Modelirovaniye potokov ionov v protsesse electroliticheskogo rafinirovaniya (Modeling of streams of ions in the course of electrolytic refinement) Journal of the Siberian federal university. Series: Technics and technologies. 6, 527-533 (2013)
2. Belotserkovsky, O.M.: Chislennoe modelirovaniye v mekhanike sploshnikh sred (Numerical modelling in a mechanics of continuous media). Nauka, Moskow (1984)
3. Berezin, Yu.A., Vshivkov, V.A.: Metod chastits v razrezhennoi plazme (Method of particles in dynamics of the rarefid plasma). Nauka, Novosibirsk (1980)
4. Vshivkov, V.A., Romanov, D.V., Snytnikov V.N.: Problema samopazogreva modelnoi plazmi v metode chastits (Problem of self-warming up of modelling plasma in the method of particles). Vichislitelniye tehnologii. 4, 62–72 (1999)
5. Grigoriev, Yu.N., Vshivkov, V.A., Fedoruk, M.P.: Chislennoye modelirovaniye metodami chastits-v-yacheykah (Numerical modelling by methods particles-in-meshes). Publishing house of the Siberian Branch of the Russian Academy of Science, Novosibirsk (2004)
6. Grigoriev, Yu.N.: Metod vikhrey-v-yacheykah dlya ploskikh szhimayemikh techenii (Method curls-in-meshes for flat contract currents). Vichislitelniye tehnologii. 9, 41–53 (2004)
7. Damaskin, B.B., Petry, O.A.: Vvedeniye v electrohimicheskuyu kinetiku (Introduction to electrochemical kinetics). Visshaya shkola, Moscow (1983)
8. Lyubanova, A.Sh., Mitin, K.V.: Modelirovaniye potoka zaryazhennikh chastits primenitelno k protsessam gazoochistki (Modelling’s of a stream of the charg particles with reference to processes of gas purification). Journal of the Siberian federal university. Series: Technics and technologies. 4, 642-652 (2011)
9. Mitin, K.V., Lyubanova, A.Sh.: Modelirovaniye potokov ionov v protsesse electroliticheskogo rafinirovaniya metodom chastits (Modeling of streams of ions in the course of electrolytic refinement by method of particles) Fundamentalniye issledovaniya. № 9-3, 662-666 (2012)
10. Mitin, K.V.: Modelirovaniye potokov ionov v protsesse electroliticheskogo rafinirovaniya (Modeling of streams of ions in the course of electrolytic refinement) Journal of the Siberian federal university. Series: Technics and technologies. 6, 527-533 (2013)
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How to Cite
Lyubanova, A. S., & Mitin, K. V. (2015). Modeling of the Ions Streams by the Method of Particles. Journal of Mathematics, Mechanics and Computer Science, 86(3), 14–18. Retrieved from https://bm.kaznu.kz/index.php/kaznu/article/view/306
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Mathematical modeling of technological processes
