BSU bulletin
Mathematics, Informatics

BSU bulletin. Mathematics, Informatics

Bibliographic description:
Tsydypov B. D.
Avetyan M. A.
Darmaev T. G.
Chimytov T. A.
A statement and methods of solving generalized boundary problems of electro-, heat and mass transfer in cathode assembly of high-current plasma systems // BSU bulletin. Mathematics, Informatics. - 2016. №1. . - С. 102-112.
A statement and methods of solving generalized boundary problems of electro-, heat and mass transfer in cathode assembly of high-current plasma systems
DOI: 10.18101/2304-5728-2016-1-102-112UDK: 537.523
The article presents a statement and methods of solving stationary electro- physical and unsteady heat conduction and diffusion problems for axisymmetric cathode assemblies of high-current plasma devices. The problems are based on solution of two-dimensional current continuity, heat conduction and activators diffusion equations with nonlinear boundary conditions for the "insertframework" system and analysis of all major types of energy exchange with the environment. Herewith local Joule heat in the electrode assembly volume, convection and radiation heat components of complex heat transfer on its surface, nonlinear dependences of heat and electrophysical characteristics of construction materials from the temperature have been taken into consideration.
катодный узел, сильноточная плазменная система, энергообмен, краевая задача, математическое моделирование.
List of references:
1. Entsiklopediya nizkotemperaturnoi plazmy [Encyclopedia of Low- Temperature Plasma]. Moscow: Nauka Publ., 2000. V. 4. Pp. 153–459.

2. Dautov G. Yu., Timoshevskii A. N., Uryukov B. A. et al. Generatsiya nizkotemperaturnoi plazmy i plazmennye tekhnologii: problemy i perspektivy [Generation of Low-Temperature Plasma and Plasma Technologies: Problems and Prospects]. Novosibirsk: Nauka Publ., 2004. 464 p.

3. Zhukov M. F., Zasypkin I. M., Timoshevskii A. N. et al. Elektrodugovye generatory termicheskoi plazmy [Electric Arc Thermal Plasma Generators]. Novosibirsk: Nauka Publ., 1999. 712 p.

4. Fauchais P., Vardelle A. Thermal plasmas. IEEE Trans. on Plasma Sci. 1997. V. 25. No. 6. Pp. 1258–1280.

5. Tsydypov B. D. Katodnye i prikatodnye protsessy sil'notochnykh plazmennykh sistem [Cathode and Near-Cathode Processes of High-Current Plasma Systems]. Saarbrucken: Lambert Academics Publishing, 2012. 272 p.

6. Tsydypov B. D., Avetyan M. A. Nelineinaya elektrofizicheskaya zadacha dlya sil’notochnykh katodnykh uzlov generatorov nizkotemperaturnoi plasmy [Nonlinear Electrophysical Problem for High-Current Cathode Assemblies in Generators of Low-Temperature Plasma]. Vestnik Buryatskogo gosudarstven- nogo universiteta – Bulletin of Buryat State University. 2015. V. 9. Pp. 83–88.

7. Tsydypov B. D., Simakov I. G. Teplovoe sostoyanie katodnykh uzlov sil'notochnykh plazmennykh sistem [Thermal State of Cathode Assemblies in High-Current Plasma Systems]. Teplofizika vysokikh temperatur – Thermal Physics of High Temperatures. 2011. V. 49. No. 4. Pp. 663–670.

8. Samarskii A. A. Teoriya raznostnykh skhem [The Theory of Differential Schemes]. Moscow: Nauka Publ., 1977. 656 p.