Mathematical and Physical Model of the Formation of an MHD Funnel in a Rotating Magnetic Field
Keywords:
MHD-rotator electromagnetic calculation, analytical method, numerical modeling, magnetohydrodynamics
Abstract
The article presents approaches to modeling physical processes in an MHD device using the research and development of an MHD-rotating device, namely, an analytic mathematical model of an arc induction machine and a numerical model of MHD processes based on the coupling of electromagnetic and hydrodynamic problems taking into account a two-phase fluent domain. The results of calculations and analysis of the MHD-rotator are presented. Research and development of industrial plants for the smelting of small metal chips in a gas melting furnace was carried out.
References
1. Timofeev V., Khatsayuk M. Theoretical design baselines for MHD-stirrers of molten metals. - Magnetohydrodynamics, 2016, No. 4. pp. 495-506.
2. Timofeev V., Khatsayuk M., Timofeev S. Analysis of Transverse Edge Effect in a Molten Metal MHD Stirrer. - Magnetohydrodynamics, 2017, No. 3. pp. 329-344.
3. Тимофеев В.Н., Хацаюк М.Ю. Анализ электромагнитных процессов магнитогидродинамического перемешивания жидких металлов. - Электричество, 2017, № 1, c. 35-44.
4. Khatsayuk M., Demidovich V., Timofeev V., Maksimov A., Rastvorova I. Numerical simulation of titanium alloy non-crucible melting in the alternating electromagnetic field. Intern. Conf. on Heating by Electromagnetic Sources HES-16, Padua, May 24-27, 2016, pp. 305-312.
5. Пат. РФ № 2677549. Способ переплавки металлических отходов и печь для его осуществления/М.Ю. Хацаюк, В.Н. Тимофеев, П.А. Хоменков, Е.С. Елизаров, В.В. Тараканов. Опубл. 17.01.2019.
6. Вольдек, А.И. Индукционные МГД-машины с жидкометаллическим рабочим телом. Л.: Энергия, 1970, 272 с.
7. Minakov A.V., Pervukhin M.V., Platonov D.V., Khatsayuk M.Yu. Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics. Computational Mathematics and Mathematical Physics, 2015, vol. 55, pp. 2066-2079.
#
1. Timofeev V., Khatsayuk M. Theoretical design baselines for MHD-stirrers of molten metals. — Magnetohydrodynamics, 2016, No. 4. pp. 495-506.
2. Timofeev V., Khatsayuk M., Timofeev S. Analysis of Transverse Edge Effect in a Molten Metal MHD Stirrer. — Magnetohydrodynamics, 2017, No. 3. pp. 329—344.
3. Timofeyev V.N., Khatsayuk M.Yu. (Elektrichestvo — in Russ. (Electricity), 2017, No. 1, pp. 35—44.
4. Khatsayuk M., Demidovich V., Timofeev V., Maksimov A., Rastvorova I. Numerical simulation of titanium alloy non-crucible melting in the alternating electromagnetic field. Intern. Conf. on Heating by Electromagnetic Sources HES-16, Padua, May 24—27, 2016, pp. 305—312.
5. Pаt. RF No. 2677549. Sposob pereplavki metallicheskikh otkhodov i pech’ dlya ego osushchestvleniya (The method of remelting metal waste and a furnace for its implementation)/M.Yu. Khatsayuk, V.N. Timofeyev, P.A. Khomenkov, Ye.S. Yelizarov, V.V. Tarakanov. Promulgated 17.01.2019.
6. Vol’dek A.I. Induktsionnye MGD-mashiny s zhidkometallicheskim rabochim telom (Induction MHD machines with a liquid metal working fluid). Leningrad, Energiya, 1970, 272 p.
7. Minakov A.V., Pervukhin M.V., Platonov D.V., Khatsayuk M.Yu. Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics. Computational Mathematics and Mathematical Physics, 2015, vol. 55, pp. 2066—2079.
2. Timofeev V., Khatsayuk M., Timofeev S. Analysis of Transverse Edge Effect in a Molten Metal MHD Stirrer. - Magnetohydrodynamics, 2017, No. 3. pp. 329-344.
3. Тимофеев В.Н., Хацаюк М.Ю. Анализ электромагнитных процессов магнитогидродинамического перемешивания жидких металлов. - Электричество, 2017, № 1, c. 35-44.
4. Khatsayuk M., Demidovich V., Timofeev V., Maksimov A., Rastvorova I. Numerical simulation of titanium alloy non-crucible melting in the alternating electromagnetic field. Intern. Conf. on Heating by Electromagnetic Sources HES-16, Padua, May 24-27, 2016, pp. 305-312.
5. Пат. РФ № 2677549. Способ переплавки металлических отходов и печь для его осуществления/М.Ю. Хацаюк, В.Н. Тимофеев, П.А. Хоменков, Е.С. Елизаров, В.В. Тараканов. Опубл. 17.01.2019.
6. Вольдек, А.И. Индукционные МГД-машины с жидкометаллическим рабочим телом. Л.: Энергия, 1970, 272 с.
7. Minakov A.V., Pervukhin M.V., Platonov D.V., Khatsayuk M.Yu. Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics. Computational Mathematics and Mathematical Physics, 2015, vol. 55, pp. 2066-2079.
#
1. Timofeev V., Khatsayuk M. Theoretical design baselines for MHD-stirrers of molten metals. — Magnetohydrodynamics, 2016, No. 4. pp. 495-506.
2. Timofeev V., Khatsayuk M., Timofeev S. Analysis of Transverse Edge Effect in a Molten Metal MHD Stirrer. — Magnetohydrodynamics, 2017, No. 3. pp. 329—344.
3. Timofeyev V.N., Khatsayuk M.Yu. (Elektrichestvo — in Russ. (Electricity), 2017, No. 1, pp. 35—44.
4. Khatsayuk M., Demidovich V., Timofeev V., Maksimov A., Rastvorova I. Numerical simulation of titanium alloy non-crucible melting in the alternating electromagnetic field. Intern. Conf. on Heating by Electromagnetic Sources HES-16, Padua, May 24—27, 2016, pp. 305—312.
5. Pаt. RF No. 2677549. Sposob pereplavki metallicheskikh otkhodov i pech’ dlya ego osushchestvleniya (The method of remelting metal waste and a furnace for its implementation)/M.Yu. Khatsayuk, V.N. Timofeyev, P.A. Khomenkov, Ye.S. Yelizarov, V.V. Tarakanov. Promulgated 17.01.2019.
6. Vol’dek A.I. Induktsionnye MGD-mashiny s zhidkometallicheskim rabochim telom (Induction MHD machines with a liquid metal working fluid). Leningrad, Energiya, 1970, 272 p.
7. Minakov A.V., Pervukhin M.V., Platonov D.V., Khatsayuk M.Yu. Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics. Computational Mathematics and Mathematical Physics, 2015, vol. 55, pp. 2066—2079.
