Abstract
The problem of peripheral explosion in a star initially at equilibrium is solved for an exponential density distribution. Qualitatively new flow modes, such as recurrent ejection of the star shell and partial scatter of its matter in interstellar space, are obtained. The critical energies corresponding to various flow modes are determined. Calculations conducted over a wide range of the determining parameters allow certain conclusions to be drawn concerning the possibility of explaining the phenomena occurring in the interior of pulsing and variable stars.
The problem of dynamic explosion of star equilibrium, followed by the formation of a detonation wave travelling through a gravitating gas at rest, is also considered. It is shown that various solutions involving detonation may be constructed by choosing the adiabatic exponent and the exponent of the power density distribution.
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References
L. I. Sedov, "On the motion of gas in the process of to star bursts,"Dokl. AN SSSR,111, No. 4, 780 (1956).
S. Chandrasekhar,Introduction to the Study of Stellar Structures, Claredon Press, Oxford (1945).
C. Jager,The Brightest Stars, Academic Press, New Jork (1980).
A. G. Masevich and A. V. Tutukov,Evolution of Stars: Theory and Observation [in Russian], Nauka, Moscow (1988).
D. K. Nadezhin and D. A. Frank-Kamanetskii, "Propagation of shock waves in the outer layers of a star,"Astron. Zhurn.,42, issue 2, 290 (1965).
I. A. Klimishin,Shock Waves in Star Shells [in Russian], Nauka, Moscow (1984).
V. I. Kopchenov and A. N. Kraiko, "A second-order monotone difference scheme for hyperbolic systems with two independent variables,"Zh. Vychisl. Mat. Matem. Fiz.,23, No. 4, 848 (1983).
L. I. Sedov, "On a possible mechanism for generating massless particles possessing energy,"Dokl. AN SSSR,285, No. 2, 350 (1985).
L. I. Sedov and A. G. Tsypkin,Fundamentals of the Macroscopic Theories of Gravitation and Electromagnetism [in Russian], Nauka, Moscow (1989).
L. I. Sedov, "On dynamic explosion of equilibrium,"Dokl. AN SSSR,112, No. 2, 211 (1957).
L. I. Sedov,Methods of Similitude Theory and Dimensional Analysis in Mechanics [in Russian], Nauka, Moscow (1987).
I. M. Yavorskaya, "Solution of certain detonation problems in a variable-density medium,Dokl. AN SSSR,111, No. 4, 783 (1956).
Additional information
Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 157–163, May–June, 1998.
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Laskovyi, M.V., Levin, V.A. & Sedov, L.I. Peripheral explosion in a self-gravitating gas ball and dynamic explosion of star equilibrium. Fluid Dyn 33, 427–432 (1998). https://doi.org/10.1007/BF02698195
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DOI: https://doi.org/10.1007/BF02698195