Mechanisms of heat-hydrodynamic instability with local heat supply to gas
DOI:
https://doi.org/10.15407/dopovidi2018.03.069Keywords:
instability, negative, thermal energy dissipation tensor, thermoacoustic self-oscillationsAbstract
A mathematical model of nonstationary gas motions with a local supply of heat to a gas along a certain surface is developed. In the equations of motion, the heat energy dissipation tensor associated with the heat supply surface and characterizing the presence of a negative thermal resistance is specified. An equation is obtained for the components of the given tensor, and some of its particular cases are considered.
Downloads
References
Khudyaev, S. I. & Ushakovskii, O. V. (2002). Space nonuniformity and auto-oscillations in the structured liquid flow. Matem. Modelirovanie, 14, No. 7, pp. 53-73 (in Russian).
Melkikh, A. V. & Seleznev, V. D. (2008). Self-oscillations of nonisothermal flow of viscous liquid in a channel. High Temperature, 46, Iss. 1, pp. 91-99 (in Russian). doi: https://doi.org/10.1134/s10740-008-1013-2
Belyaev, N. M., Belik, N. P. & Pol’shin, A. V. (1985). Thermoacoustic vibrations of gas-liquid flows in complex pipes of power plants. Kiev: Vysshaya shkola (in Russian).
Gotsulenko, V. V. (2004). Mathematical modelling of Riyke’s phenomenon picularities when changed the heat flow power. Matem. Modelirovanie, 16, No. 9, pp. 23-28 (in Russian).
Basok, B. I. & Gotsulenko, V. V. (2010). A theory of the Rijke phenomenon in a system with lumped parameters. Acoustic bulletin, 13, No. 3, pp. 3-8 (in Russian).
Abramovich, G. N. (1969). Applied gas dynamics. Moscow: Nauka (in Russian).
Rauschenbach, B. V. (1961). Vibrating burning. Moscow: Fizmatgiz (in Russian).
Landa, P. S. (2010). Nonlinear oscillations and waves. Moscow: LIBROKOM (in Russian).
Basok, B. I. & Gotsulenko, V. V. (2014). Negative thermal resistance in the one-dimensional steady flow of a perfect inviscid gas. Proceedings of MIPT. 6, No. 2, pp. 153-157 (in Russian).
Kurbatova, G. I. & Filippov, V. B. (2002). Elements of tensor calculus. Fundamentals of modeling moving continua. St.-Petersburg: Izd-vo SPbGU (in Russian).
Basok, B. I. & Gotsulenko, V. V. (2014). Self-oscillations in a Rijke tube with receiver positioning at its entrance. Thermophysics and Aeromechanics, 21, Iss. 4, pp. 469-478. doi: https://doi.org/10.1134/S0869864314040076
Basok, B. I. & Gotsulenko, V. V. (2017). Regularities of thermoacoustic oscillations in lehmann's plant with a coolant moving in reverse. Mathematical Models and Computer Simulations. 9, Iss. 6, pp. 669-678. doi: https://doi.org/10.1134/S2070048217060047
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
