Skip to main content
Log in

Analytical study of supersonic isentropic flow in a channel of constant cross section and an adjacent laval nozzle. Comparison with numerical and experimental results

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

An analytic study of plane supersonic flow based on the use of Prandtl-Meyer invariants is presented. Flow in both a channel of constant cross section and an adjacent Laval nozzle with a corner point is considered. The analytical results are compared with numerical and experimental data.

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. A. S. Biryukov, R. I. Serikov, A. I. Starik, and L. A. Shelepin, “Effect of nonuniformities of the flow parameters on the characteristics of the active media of CO2 and N2O gas dynamic lasers,”Kvantovaya Elektron.,4, 787 (1977).

    Google Scholar 

  2. V. A. Sal'nikov, “Characteristics of vibrationally relaxing gas flow in nozzles with a throat of constant cross section,”Zh. Prikl. Mekh. Tekh. Fiz., No. 4, 61 (1984).

  3. R. K. Tagirov and V. M. Chefanov, “Theoretical and experimental investigation of the gas dynamics of plane symmetric nozzles having a section of constant height and two corner points in the throat,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 100 (1983).

  4. V. M. Chefanov, “Gas flow in the throat of a supersonic nozzle,” in:Aircraft Engine Gas Dynamics, No. 1 [in Russian], Kazan (1978), p. 18.

  5. O. A. Vasil'ev, S. N. Minin, and A. V. Shipovskikh, “Numerical and experimental investigation of subsonic and transonic flows in small-scale nozzles,” TsNIIatominform, Moscow (1988). (IAÉ 4629/12).

    Google Scholar 

  6. O. A. Vasil'ev, S. N. Minin, and A. V. Shipovskikh, “Transonic flow structure in nozzles with a section of constant height in the region of the throat,” TsNIIatominform, Moscow (1989). (IAÉ-4821/12).

    Google Scholar 

  7. O. A. Vasil'ev, S. N. Minin, and A. V. Shipovskii, “Investigation of the flow structure in nozzles with a throat section of constant height,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 160 (1990).

    Google Scholar 

  8. A. A. Nikol'skii, “A property of supersonic gas flows on a cylindrical pipe section,”Prikl. Mat. Mekh.,10, 667 (1946).

    Google Scholar 

  9. U. G. Pirumov and G. S. Roslyakov,Gas Flow in Nozzles [in Russian], Izd. MGU, Moscow (1978).

    Google Scholar 

  10. U. G. Pirumov, “Contribution to the theory of slightly disturbed three-dimensional nozzle flows,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 146 (1977).

  11. V. A. Supakova, “Implicit algorithm for the gas flow in an axisymmetric nozzle based on the equation for the potential,” in:Computational Methods of Aerodynamics [in Russian], Izd. MGU, Moscow (1988), p. 61.

    Google Scholar 

Download references

Authors

Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 158–169, July–August, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pirumov, U.G. Analytical study of supersonic isentropic flow in a channel of constant cross section and an adjacent laval nozzle. Comparison with numerical and experimental results. Fluid Dyn 29, 567–576 (1994). https://doi.org/10.1007/BF02319080

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02319080

Keywords

Navigation