Skip to main content
Log in

Flow of a sonic free gas stream around a profile

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The stream function far from a profile in a two-dimensional sonic free gas jet is constructed. The stream function satisfies the Tricomi equation and is constructed on the θ, η plane by the method of singular integral equations. With unlimited increase of the jet width and by satisfying a certain condition, the stream function transforms to the self-similar solution of Frank [1, 2] and Guderley, which describes an unbounded sonic stream far from the profile. In conclusion, flow of a sonic jet issuing from a duct about a profile is considered.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. F. I. Frankl, “Studies on the theory of an infinite-span wing moving with sonic velocity,” AN SSSR, vol. 57, no. 7, 1947.

  2. F. I. Frankl, “A class of solutions of the Chaplygin gasdynamic equations,” Uch. zap. MGU, vol. 154, no. 4, 1951.

  3. R. G. Barantsev, Lectures on Transonic Gas Dynamics [in Russian], Izd. LGU, 1965.

  4. F. Tricomi, Lectures on Partial Differential Equations [Russian translation], Izd. inostr. lit., 1957.

  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products, 4th ed. [in Russian], Fizmatgiz, 1962.

  6. F. D. Gakhov, Boundary-Value Problems [in Russian], Fizmatgiz, 1963.

  7. H. Bateman, A. Erdelyi, W. Magnus, F. Oberhettinger, and F. G. Tricomi, Tables of Integral Transforms, vol. 2, New York, McGraw-Hill Company, Inc., 1954.

    Google Scholar 

  8. V. Q. Nguyen, G. Gontier, and A. Martinot-Lagarde, “Sur une vérification expérimentale d'une solution de l'équation d'Euler-Tricomi pour l'écoulement critique plan autour d'un profil d'aile,” Compt. rend. Acad. sci., vol. 256, no. 4, 1963.

  9. B. W. Marschner, “The flow over a body in a choked wind tunnel and in a sonic free jet,” J. Aero. Sci., vol. 23, no. 4, 1956.

    Google Scholar 

  10. G. D. Sevost'yanov, “Plane transonic gas flow far from a profile in a duct,” PMM, vol. 29, no. 5, 1965.

  11. K. G. Guderley, Theory of Transonic Flows [Russian translation], Izd. inostr. lit., 1963.

Download references

Author information

Authors and Affiliations

Authors

Additional information

The author wishes to thank S. V. Fal'kovich for valuable suggestions in discussing this article.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sevost'yanov, G.D. Flow of a sonic free gas stream around a profile. Fluid Dyn 1, 33–37 (1966). https://doi.org/10.1007/BF01013810

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01013810

Keywords

Navigation