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Theory of short waves in gas dynamics

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

An examination is made of the two-dimensional, almost stationary flow of an ideal gas with small but clear variations in its parameters. Such gas motion is described by a system of two quasilinear equations of mixed type for the radial and tangential velocity components [1, 2]. Partial solutions [3, 4], characterizing the variation in the gas parameters in the vicinity of the shock wave front (in the short-wave region), are known for this system of equations. The motion of the initial discontinuity of the short waves derived from the velocity components with respect to polar angle and their damping are studied in the report. A solution of the equations characterizing the arrangement of the initial discontinuity derived from the velocities is presented for one particular case of the class of exact solutions of the two parameter type [4]. Functions are obtained which express the nature of the variation in velocity of the front of the damped wave and its curvature.

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Literature cited

  1. O. S. Ryzhov and S. A. Khristianovich, “Nonlinear reflection of weak shock waves,” Prikl. Matem. i Mekhan.,22, No. 5 (1958).

  2. A. A. Grib, O. S. Ryzhov, and S. A. Khristianovich, “Theory of short waves,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 1 (1960).

  3. B. I. Zaslavskii, “Some particular solutions of “short-wave” equations,” Zh. Prikl. Mekhan. i Tekh. Fiz., No. 1 (1962).

  4. B. G. Kleiner and G. P. Shindyapin, “One class of exact particular solutions of short-wave equations,” Prikl. Matem. i Mekhan.,34, No. 6 (1970).

  5. A. Jeffrey and T. Taniuti, Nonlinear Wave Propagation, with Applications to Physics and Magnetohydrodynamics, Academic Press (1964).

  6. G. Bateman and A. Erdelyi, Higher Transcendental Functions. Bessel Functions, Functions of a Parabolic Cylinder, and Orthogonal Polynomials [Russian translation], Nauka, Moscow (1966).

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Authors and Affiliations

  1. Saratov

    G. P. Soldatov

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  1. G. P. Soldatov
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Translation from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 55–58, May–June, 1973.

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Soldatov, G.P. Theory of short waves in gas dynamics. J Appl Mech Tech Phys 14, 340–343 (1973). https://doi.org/10.1007/BF00850946

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  • DOI: https://doi.org/10.1007/BF00850946

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