Abstract
A one-dimensional problem of shock wave acceleration in a uniform gravitational field is exactly solved. In front of the shock wave, the medium state is initially in equilibrium and its density decreases according to a power law. The shock wave is generated using a piston moving freely in the gravitational field. The adiabatic index is assumed to be equal to 3. The obtained solution is represented in terms of elementary functions.
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References
L. I. Sedov, Similarity and Dimensional Methods in Mechanics (Nauka, Moscow, 1977; CRC Press, Boca Raton, 1993).
G. G. Chernyi, Gas Dynamics (Nauka, Moscow, 1988) [in Russian].
A. N. Golubyatnikov, “Spherically Symmetric Motion of a Gravitating gas in the Presence of a Strong Shock Wave,” Dokl. Akad. Nauk SSSR 227 (5), 1067–1070 (1976). [Sov. Phys. Dokl. 21 (4), 183–186 (1976)].
A. N. Golubyatnikov and S. D. Kovalevskaya, “Self-Similar Gas Motions in a Gravity Field,” Izv. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 123–132 (2014). [Fluid Dyn. 49 (3), 407–415 (2014)].
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Original Russian Text © S.D. Kovalevskaya, 2016, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2016, Vol. 71, No. 1, pp. 61–64.
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Kovalevskaya, S.D. Shock wave acceleration in a gravitational field. A special case. Moscow Univ. Mech. Bull. 71, 16–18 (2016). https://doi.org/10.3103/S0027133016010039
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DOI: https://doi.org/10.3103/S0027133016010039