Abstract
An analytical method for determining the amplitude and velocity of an autowave pulse emerging in isentropically unstable heat-releasing media is presented. The method is suitable for any values of acoustic dispersion and growth rate and requires the knowledge of heat-loss function only without the need for a numerical solution of a complete system of gas-dynamic equations.
Similar content being viewed by others
REFERENCES
E. N. Parker, Astrophys. J. 117, 431 (1953).
G. B. Field, Astrophys. J. 142, 531 (1965).
M. Oppenheimer, Astrophys. J. 211, 400 (1977).
K. I. Artamonov, Thermohydroacoustic Stability (Mashinostroenie, Moscow, 1982) [in Russian].
K. V. Krasnobaev and V. Yu. Tarev, Sov. Astron. 31, 635 (1987).
N. E. Molevich and A. N. Oraevskii, Sov. Phys. JETP 67, 504 (1988).
D. Y. Kolotkov, V. M. Nakariakov, and D. I. Zavershinskii, Astron. Astrophys. 628, A133 (2019). https://doi.org/10.1051/0004-6361/201936072
D. I. Zavershinskii, D. Y. Kolotkov, V. M. Nakariakov, N. E. Molevich, and D. S. Ryashchikov, Phys. Plasmas 26, 082113 (2019). https://doi.org/10.1063/1.5115224
K. V. Krasnobaev, N. E. Sysoev, and V. Yu. Tarev, in Nuclear Physics, Cosmic Radiation Physics, Astronomy (Mosk. Gos. Univ., Moscow, 1994), p. 222 [in Russian].
V. M. Nakariakov, C. A. Mendoza-Briceño, and M. H. S. Ibañez, Astrophys. J. 528, 767 (2000). https://doi.org/10.1086/308195
N. E. Molevich, D. I. Zavershinsky, R. N. Galimov, and V. G. Makaryan, Astrophys. Space Sci. 334, 35 (2011). https://doi.org/10.1007/s10509-011-0683-0
K. V. Krasnobaev, R. R. Tagirova, S. I. Arafailov, and G. Yu. Kotova, Astron. Lett. 42, 460 (2016). https://doi.org/10.1134/S1063773716070057
K. V. Krasnobaev and R. R. Tagirova, Mon. Not. R. Astron. Soc. 469, 1403 (2017). https://doi.org/10.1093/mnras/stx884
D. S. Ryashchikov, N. E. Molevich, and D. I. Zavershinskii, Tech. Phys. Lett. 44, 1163 (2018).
R. N. Galimov and N. E. Molevich, Fluid Dyn. 44, 158 (2009).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).
Funding
This work was supported by the Ministry of Science and Education of the Russian Federation (projects nos. 0023-2019-0003 and FSSS-2020-0014), and Russian Foundation for Basic Research (project no. 18-32-00344).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflict of interest.
Additional information
Translated by G. Dedkov
Rights and permissions
About this article
Cite this article
Molevich, N.E., Ryashchikov, D.S. Autowave Pulse in a Medium with the Heating/Cooling Misbalance and an Arbitrary Thermal Dispersion. Tech. Phys. Lett. 46, 637–640 (2020). https://doi.org/10.1134/S1063785020070123
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785020070123