Abstract
A study is made of the third (gasdynamic) approximation in the theory of waves of finite amplitude [1–3]. The evolution equation obtained for the velocity of the gas is integrated analytically. By way of example two well-known problems are considered, the propagation of a steady symmetric density discontinuity [2], and the quantitative description of acoustic wind [1, 3]. The solution to the second problem is given for the case of arbitrary acoustic Reynolds numbers.
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O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics [in Russian], Nauka, Moscow (1975).
O. V. Rudenko, S. I. Soluyan, and R. V. Khokhlov, “Theory of waves of finite amplitude in a dissipative medium,” Vestn. Mosk. Univ. Ser. Fiz.-Astron., No. 5, 33 (1969).
O. V. Rudenko, S. I. Soluyan, and R. V. Khokhlov, “Formation of reflected waves at discontinuities in a sound wave,” Akust. Zh.,15, 414 (1969).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 184–187, March–April, 1986.
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Makarov, S.N., Filippov, B.V. Calculation of waves of finite amplitude in the gas dynamic approximation. Fluid Dyn 21, 331–334 (1986). https://doi.org/10.1007/BF01050194
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DOI: https://doi.org/10.1007/BF01050194