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Steady Transonic Flow through Plane and Axisymmetric Nozzles

  • Conference paper
Symposium Transsonicum II

Summary

Steady two-dimensional transonic flows of ideal inviscid gases through Laval nozzles are computed by a method based on the numerical methods of Telenin [2], Pirumov [6], and Hopkins and Hill [3]. Both the direct and inverse problems are treated for plane and axisymmetric nozzles. Numerical results are compared to the experimental results of Cuffel et al. [8] and results obtained by other numerical methods, namely series and relaxation solutions.

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References

  1. Petrovsky, I. G.: Lectures on Partial Differential Equations, Interscience Publishers, Inc., New York (1954), p. 14.

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  2. Gilinskii, S. M., Telenin, G. F., and Tinyakov, G. P.: Izv. AN SSSR, Mekh. i Mash. 4, 9–28 (NASA TT F-297, 1956).

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  3. Hopkins, D. F., Hill, D. E., AIAA J. 4, 8, 1337–1343 (1966).

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  4. Powell, M. J. D.: Comp. J. 7., 4, 303–307 (1964).

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  5. Hadamard, J.: Lectures on Cauchy’s Problem (1923), Dover Publications, New York (1952).

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  6. Pirumov, U. G.: Izv. AN SSSR M. Zh. i G 2, 5, 10–22 (1967).

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  7. Emmons, H. W.: US NACA TN-1003 (1946).

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  8. Cuffel, R. F., Back, L. H., and Massier, P. F.: AIAA J. 7, 7, 1364–1366 (1969).

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  9. Kliegel, J. R., and Levin, J. N.: AIAA J. 7, 7, 75–78 (1966).

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Author information

Authors and Affiliations

  1. University of California, Berkeley, USA

    G. H. Klopfer & M. Holt

Authors
  1. G. H. Klopfer
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  2. M. Holt
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Editor information

Editors and Affiliations

  1. Instituts für Strömungslehre, Technischen Hochschule Wien, Austria

    Klaus Oswatitsch (o. Professor und Vorstand) (o. Professor und Vorstand)

  2. Deutsche Forschungs- und Versuchsanstalt für Luft Raumfahrt e.V., Aerodynamische Versuchsanstalt, Göttingen, Germany

    Dietrich Rues (Priv. Doz.) (Priv. Doz.)

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© 1976 Springer-Verlag, Berlin/Heidelberg

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Klopfer, G.H., Holt, M. (1976). Steady Transonic Flow through Plane and Axisymmetric Nozzles. In: Oswatitsch, K., Rues, D. (eds) Symposium Transsonicum II. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81005-3_42

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  • DOI: https://doi.org/10.1007/978-3-642-81005-3_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81007-7

  • Online ISBN: 978-3-642-81005-3

  • eBook Packages: Springer Book Archive

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