Log in

Asymptotic study of viscous compressible gas flow past a blunt body

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Supersonic viscous gas flow past a blunt body is examined. A method is proposed which permits constructing the asymptotic expansion of any order in the small parameter ε, which characterizes the viscosity and thermal conductivity coefficients. The asymptotic solution is constructed, including terras of zero, first, and second orders of ε. Acomparison is made with results of other authors who have studied various particular aspects of the subject problem using the method of inner and outer expansions [1–3].

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. P. Germain and J. Guiraud, “Conditions de choc dans un fluide doue de coefficients de viscosité et de conductibilité thermique faibles mais non nuls”, C. r. Acad. sci. vol. 250, no. 11, 1965–1967, 1960.

    Google Scholar 

  2. R. Chow and Lu Ting, “Higher order theory of curved shock”, J. Aeronaut. Sci., vol. 28, no. 5, p. 428–430, 1961.

    Google Scholar 

  3. B. M. Bulakh, “The conditions at the bow shock for viscous gas flow past a blunt body”, PMM, vol. 30, no. 2, 353, 1966.

    Google Scholar 

  4. M. Van Dyke, “Theory of the compressible boundary layer in the second approximation with application to hypersonic flow past blunt bodies”, collection: Hypersonic Flow Research [Russian translation], F. R. Riddell (ed.), Mir, Moscow, 1964.

    Google Scholar 

  5. L. I. Sedov, M. P. Mikhailova, and G. G. Chernyi, “The effect of viscosity and heat conduction on gas flow with strongly curved shock”, Vestn. Mosk. un-ta, no. 3, 95, 1953.

    Google Scholar 

  6. M. I. Vishik and L. A. Lyusternik, “Regular degeneration and the boundary layer for linear differential equations with a small parameter”, Uspekhi matem. nauk, 1957, vol. 12, no. 5, 3–122, 1957.

    Google Scholar 

  7. M. I. Vishik and L. A. Lyusternik, “The asymptotic behavior of the solutions of boundary value problems for quasilinear differential equations”, Dokl. AN SSSR, vol. 121, no. 5, 778–781, 1958.

    Google Scholar 

  8. I. Yu. Brailovskaya and L. A. Chudov, “Two methods for constructing higher approximations with respect to a small viscosity parameter”, collection: Computing Methods and Programming (in collection of papers of the Computer Center of Moscow State University) [in Russian], Izd. Mosk. un-ta, no. 7, pp. 173–185, 1967.

    Google Scholar 

  9. A. A. Markov and L. A. Chudov, “Asymptotic behavior of one-dimensional unsteady flow of a viscous heat-conducting gas with a shock compression zone”, collection: Numerical Methods in Gasdynamics (in collection of papers of the Computing Center of Moscow State University) [in Russian], Izd. Mosk. un-ta, no. 7, 83–104, 1967.

    Google Scholar 

  10. G. F. Telenin and G. P. Tinyakov, “Method of calculating three-dimensional flow about bodies with detached shock”, Dokl. AN SSSR, vol. 154, no. 5, pp. 1056–1058, 1964.

    Google Scholar 

  11. G. V. Sushko and L. A. Chudov, “Asymptotic behavior of some solutions of a quasilinear second-order parabolic equation with small parameter for the higher derivative”, collection: Numerical Methods in Gasdynamics (in collection of papers of the Computer Center of Moscow State University) [in Russian], Izd. Mosk. un-ta, no. 7, 131–161, 1967.

    Google Scholar 

  12. A. A. Markov, “The justification for the first approximation of the asymptotic solution for one-dimensional unsteady flow of a viscous heat-conducting gas with a shock compression zone”, collection: Numerical Methods in Gasdynamics (in collection of papers of the Computing Center of Moscow State University) [in Russian], Izd. Mosk. un-ta, no. 7, 1967.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Markov, A.A., Chudov, L.A. Asymptotic study of viscous compressible gas flow past a blunt body. Fluid Dyn 2, 18–24 (1967). https://doi.org/10.1007/BF01019530

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019530

Keywords

Navigation