Skip to main content
SpringerLink
Log in

Calculation of perfect gas flows around elliptic cones at large angles of attack

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

In [1] it was suggested that for large angles of attack there is formed near the lower surface of a conical body with a smooth transversesection contour a closed (quite limited) region of ellipticity of the conical flow equations. To calculate the mixed transonic gas flow in this region use was made of the method of straight lines, previously used extensively for the solution of other gasdynamic problems [2], Using this method, on some line located entirely in the region of hyperbolicity of the equations, we determined all the gasdynamic quantities which may then be used as the initial data for continuing the calculation in the transonic region. The calculation in the hyperbolic equation region was continued by the method of characteristics. About forty versions were calculated for the flow about elliptic cones, including circular, in a supersonic perfect gas stream at angles of attack from 30 to 50°.

The article then discusses the method of characteristics in the form used for the calculations. (All the equations of the method of lines are given in [1].) Also presented are newly obtained formulas for the inclinations of the surfaces of the constant-velocity modulus and constant transverse-flow Mach number on the conical shock wave. Calculation results are presented and these demonstrate basically the qualitative characteristics of the flow about sharp elliptic cones at large angles of attack.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. P. Bazzhin and I. F. Chelysheva, “Application of the method of lines to the calculation of flow about conical bodies at large angles of attack”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 3, 1967.

  2. S. M. Gilinskii, G. F. Telenin, and G. P. Tinyakov, “Method for calculating supersonic flow about blunt bodies with detached shock wave”, Izv, AN SSSR, Mekhanika i mashinostroenie, no. 4, 1964.

  3. O. M. Belotserkovskii, “Flow past a symmetric profile with detached shock wave”, PMM, vol. 22, 206–219, 1958.

    Google Scholar 

  4. O. M. Belotserkovskii, “On the calculation of flow around axisymmetric bodies with detached shock wave on an electronic computer”, PMM, vol. 24, no. 3, 511–517, 1960.

    Google Scholar 

  5. W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory, Second Edition, Inviscid Flows, vol. 1, 1966.

  6. K. I. Babenko et al., Three-Dimensional Ideal Gas Flow About Smooth Bodies [in Russian], Nauka, Moscow, 1964.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow

    A. P. Bazzhin, O. N. Trusova & I. F. Chelysheva

Authors
  1. A. P. Bazzhin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. N. Trusova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. F. Chelysheva
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bazzhin, A.P., Trusova, O.N. & Chelysheva, I.F. Calculation of perfect gas flows around elliptic cones at large angles of attack. Fluid Dyn 3, 28–33 (1968). https://doi.org/10.1007/BF01019188

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019188

Keywords

Search

Navigation