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Transonic gas flow over a flat plate

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Abstract

The solution of the two-sided Tricomi problem in the hodograph plane is constructed with satisfaction of the entire set of boundary conditions, which ensures its correct asymptotic behavior with respect to vanishing angle of attack. As a result, it is found that the deviation from the Guderley solution begins with the singular terms.

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Literature cited

  1. F. G. Tricomi, Lectures on Partial Differential Equations [Russian translation], Izd. Inostr. Lit., Moscow (1957).

    Google Scholar 

  2. R. G. Varantsev, Lectures on Transonic Gas Dynamics [in Russian], LGU, Leningrad (1965).

    Google Scholar 

  3. F. I. Frankl', “Two gas dynamic applications of the Lavrent'ev—Bitsadze boundaryvalue problem,” Vestn. Mosk. Univ. Ser. Fiz.-Mat. Estest. Nauk, No. 11, 3 (1951).

    Google Scholar 

  4. G. Guderley, “The flow over a flat plate with a small angle of attack at Mach number 1,” J. Aeronaut. Sci.,21, 261 (1854).

    Google Scholar 

  5. K. G. Guderley, The Theory of Transonic Flow, Oxford (1962).

  6. M. D. Van Dyke, Perturbation Methods in Fluid Mechanics, New York (1964).

  7. S. K. Aslanov, “Profile with a plane underface moving at the speed of sound,” Tr. Kuibyshev. Aviats. Inst., No. 12, 259 (1961).

    Google Scholar 

  8. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1965).

    Google Scholar 

  9. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, Wiley, New York (1959).

    Google Scholar 

  10. A. Erdélyi, Asymptotic Expansions, New York (1956).

  11. Handbook of Special Functions [in Russian], Nauka, Moscow (1979).

  12. S. K. Aslanov, “Drag of a tapered profile in a sonic flow,” Prikl. Mat. Mekh.,20, 756 (1956).

    Google Scholar 

  13. W. G. Vincent, C. B. Wagoner, and N. H. Fisher (Jr), “The flow over a flat plate at an angle of attack at free-stream Mach number 1,” Actes 9, Congrés Intern. Mec. Appl., Vol. 2, Brusselles (1957), p. 5.

    Google Scholar 

  14. S. K. Aslanov, “Approximate solution of the problem of sonic flow over a flat profile,” Izv. Vyssih. Uchebn. Zaved. Aviats. Tekh., No. 2, 8 (1982).

    Google Scholar 

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 128–137, January–February, 1987.

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Aslanov, S.K. Transonic gas flow over a flat plate. Fluid Dyn 22, 109–117 (1987). https://doi.org/10.1007/BF01050860

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  • DOI: https://doi.org/10.1007/BF01050860

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