Skip to main content
SpringerLink
Log in

Numerical Investigation of Off-Design Regimes of Flow Past Power-Law Waveriders Based on the Flows Behind Plane Shocks

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The results of a numerical investigation of supersonic off-design flow past waveriders at the freestream Mach numbers M∞ = 4 and 8 are presented. Flow regimes with M∞ both greater and smaller than the design value M d are analyzed. Configurations based on the flows behind plane shocks and described by power-law functions are considered. The results are obtained by the finite-volume solution of the Euler equations using higher-order TVD Runge-Kutta schemes.

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. D. J. Tincher and D. W. Burnett, "Hypersonic waverider test vehicle: a logical next step," J. Spacecr. Rock., 31, 392 (1994).

    Google Scholar 

  2. D. R. Stevens, "Practical considerations in waverider applications," AIAA Paper, No. 4247 (1992).

  3. J. W. Haney, "A waverider derived hypersonic X-vehicle," AIAA Paper, No. 6162 (1995).

  4. L. Rudd and D. J. Pines, "Dynamic control of mission oriented hypersonic waveriders," AIAA Paper, No. 4951 (1999).

  5. A. L. Gonor and N. A. Ostapenko, "Hypersonic flow past an airfoil with a Mach system of shock waves," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 104 (1972).

  6. N. A. Ostapenko, "Aerodynamic characteristics of V-shaped wings with shock waves detached from leading edges at hypersonic speeds," Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 145 (1993).

  7. T. R. F. Nonweiler, "Aerodynamic problems of manned space vehicles," J. Aeronaut. Soc., 63, No. 585, 521 (1959).

    Google Scholar 

  8. V. I. Lapygin, "Calculation of supersonic flow around V-shaped wings by the fitting method," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 180 (1971).

  9. V. I. Lapygin, "Solution of the problem of the flow around a V-shaped wing with a strong shock at the leading edge," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 114 (1973).

  10. M. A. Zubin, V. I. Lapygin, and N. A. Ostapenko, "Theoretical and experimental investigation into the structure of supersonic flow past bodies of star-shaped form and their aerodynamic characteristics," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 34 (1982).

  11. M. A. Zubin and N.A. Ostapenko, "The flow structure near the windward side of V-shaped wings with an attached shock wave on the leading edges," Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 122 (1986).

  12. I. I. Mazhul', "Waveriders with a power-law transverse contour of the undersurface," Teplofiz. Aeromekh., No. 1, 87 (2002).

  13. A. N. Kudryavtsev and R. D. Rakhimov, "A marching procedure of numerical solution of two-dimensional and three-dimensional steady Euler equations using shock-capturing schemes," in: Proc. Intern. Conf. on theMethods of Aerophysical Research (ICMAR-98). Part 1, Novosibirsk (1998), p. 117.

  14. Yu. P. Goonko, A. M. Kharitonov, A. N. Kudryavtsev, I. I. Mazhul, and R. D. Rakhimov, "Euler simulations of the flow over a hypersonic convergent inlet integrated with a forebody compression surface," in: Europ. Congr. Computational Methods in Applied Science and Engineering, Barcelona, 2000. CD-ROM Proceedings.

  15. H. C. Yee, R. F. Warming, and A. Harten, "Implicit total variation diminishing (TVD) schemes for steady-state calculations," J. Comput. Phys., 57, No. 3, 327 (1985).

    Google Scholar 

  16. B. Einfeldt, C. D. Munz, P. L. Roe, and B. Sjogreen, "On Godunov-type methods near low densities," J. Comput. Phys., 92, No. 2, 273 (1991).

    Google Scholar 

  17. W. K. Anderson, J. L. Thomas, and B. van Leer, "Comparison of finite volume flux vector splittings for the Euler equations," AIAA J., 24, 1453 (1986).

    Google Scholar 

  18. A. A. Gubanov and S. A. Takovitskii, "Investigation of the choice of the form in plan of a lifting surface used as a preliminary deceleration stage of an air-intake with allowance for the boundary layer formed on the surface," in: Reports of the All-Russian Scientific and Technical Conference ‘Basic Research for Hypersonic Technologies’, Vol. 2 [in Russian], Central Aerohydrodynamics Institute, Moscow (1998), p. 88.

    Google Scholar 

Download references

Authors
  1. I. I. Mazhul'
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. D. Rakhimov
    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

Mazhul', I.I., Rakhimov, R.D. Numerical Investigation of Off-Design Regimes of Flow Past Power-Law Waveriders Based on the Flows Behind Plane Shocks. Fluid Dynamics 38, 806–814 (2003). https://doi.org/10.1023/B:FLUI.0000007842.09375.95

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:FLUI.0000007842.09375.95

Search

Navigation