Skip to main content
Log in

Three-dimensional supersonic turbulent flows past conical bodies

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The results of the numerical simulation of supersonic three-dimensional flow past sharp-nosed cones with circular and elliptic cross-sections in the turbulent shock-layer flow regime are presented. The calculations are performed in the local conical approximation using the system of Reynolds equations and the differential one-equation turbulence model. The numerical solutions are obtained by means of an implicit constant-direction finite-difference scheme. The emphasis is placed on the investigation of the transverse flow separation and the flow features associated with the turbulent flow regime.

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. I. Shvets, “Study of flow past elliptic cones,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 130 (1966).

  2. V. S. Avduevskii and K. I. Medvedev, “Study of laminar boundary layer separation on a cone at an angle of attack,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 117 (1966).

  3. V. A. Bashkin, “Study of heat transfer on sharp elliptic cones at large angles of attack in supersonic flow,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 84 (1969).

  4. J. Marcillat and B. Roux, “Experimental and theoretical study of supersonic viscous flow over a yawed circular cone,”AIAA J.,10, 1625 (1972).

    Google Scholar 

  5. S. C. Lubard and W. S. Helliwell, “Calculation of the flow on a cone at high angle of attack,”AIAA J.,12, 965 (1974).

    MATH  Google Scholar 

  6. D. J. Peake, D. F. Fisher, and D. S. McRae, “Flight, wind tunnel and numerical experiments with a slender cone at incidence,”AIAA J.,20, 1338 (1982).

    Google Scholar 

  7. A. Lin and S. G. Rubin, “Three-dimensional supersonic viscous flow over a cone at incidence,”AIAA J.,20, 1500 (1982).

    MATH  Google Scholar 

  8. R. W. Newsome, “Euler and Navier-Stokes solutions for flow over a conical delta wing,”AIAA J.,24, 552 (1986).

    Article  MATH  Google Scholar 

  9. Yu. P. Golovachev and N. V. Leont’eva, “Numerical investigation of transverse separation in three-dimensional supersonic flows past circular cones,”Zh. Tekhn. Fiz.,68, No. 10, 20 (1998).

    Google Scholar 

  10. J. E. Harris and D. L. Morris, “Solution of the three-dimensional compressible, laminar and turbulent boundary layer equations with comparisons to experimental data,” in:Proc. 4th Intern. Conf. on Numerical Methods in Fluid Dynamics, 1974, Springer, Berlin (1975), p. 204.

    Chapter  Google Scholar 

  11. P. R. Spalart and S. R. Allmaras, “A one-equation turbulence model for aerodynamic flows,”Rech. Aérospat., No. 1, 5 (1994).

  12. M. Shur, M. Strelets, L. Zaikov,et al., “Comparative numerical testing of one- and two-equation turbulence models with separation and reattachment,”AIAA Paper, No. 0863 (1995).

  13. Yu. P. Golovachev,Numerical Simulation of Viscous Gas Flows in Shock Layers [in Russian], Nauka, Moscow (1996).

    Google Scholar 

  14. Yu. P. Golovachov, “Numerical investigation of three-dimensional supersonic flows past pointed conical bodies,” in:Proc. 6th Japan-Russia Joint Symp. on Comput. Fluid Dynamics, 1998, Nagoya, Japan (1998), p. 11.

  15. S. R. Chakravarthy, D. A. Anderson, and M. d. Salas, “The split coefficient matrix method for hyperbolic systems of gas dynamics equations,”AIAA Paper, No. 268 (1980).

Download references

Authors

Additional information

St.Petersburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 99–105, January–February, 2000.

The study was carried out with the support of the Russian Foundation for Basic Research (project No. 99-01-00735).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Golovachev, Y.P., Leont’eva, N.V. Three-dimensional supersonic turbulent flows past conical bodies. Fluid Dyn 35, 81–86 (2000). https://doi.org/10.1007/BF02698791

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698791

Keywords

Navigation