Skip to main content
SpringerLink
Log in

Transonic flow instability in the entrance region of a channel with breaks of walls

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

We study numerically turbulent flow of the air in a channel with breaks of walls. The flow is supersonic downstream of the break section and in the free stream. Instability of shock waves formed in the channel and in front of the entrance is examined. Solutions of the Reynolds-averaged Navier–Stokes equations are obtained with a finite-volume solver of second-order accuracy. The solutions demonstrate an expulsion/swallowing of the shock waves with variation of the free-stream Mach number. Effects of the upper wall slopes on the shock wave positions and flow bifurcation are examined.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Dailey, C.L.: Supersonic diffuser instability. J. Aeronaut. Sci. 22(11), 733–749 (1955)

    Article  Google Scholar 

  2. Daneshyar, H.: One-Dimensional Compressible Flow: Thermodynamics and Fluid Mechanics Series. Pergamon, Oxford (1976)

    Google Scholar 

  3. Das, S., Prasad, J.K.: Starting characteristics of a rectangular supersonic air-intake with cowl deflection. Aeronaut. J. 114(1153), 177–189 (2010)

    Article  Google Scholar 

  4. Hong, W., Kim, C.: Computational study on hysteretic inlet buzz characteristics under varying mass flow conditions. AIAA J. 52, 1357–1373 (2014)

    Article  Google Scholar 

  5. Hu, R., Jameson, A., Wang, Q.: Adjoint based aerodynamic optimization of supersonic biplane airfoils. In: AIAA Paper, no. 2011-1248 (2011)

  6. Kusunose, K., Matsushima, K., Maruyama, D.: Supersonic biplane—a review. Prog. Aerosp. Sci. 47, 53–87 (2011)

    Article  MATH  Google Scholar 

  7. Kuzmin, A.G., Ivanova, A.V.: The structural instability of transonic flow associated with amalgamation/splitting of supersonic regions. J. Theor. Comput. Fluid Dyn. 18(5), 335–344 (2004)

    Article  MATH  Google Scholar 

  8. Kuzmin, A.: On the lambda-shock formation on ONERA M6 wing. Int. J. Appl. Eng. Res. 9(20), 7029–7038 (2014)

    Google Scholar 

  9. Kuzmin, A.: Shock wave instability in a channel with an expansion corner. Int. J. Appl. Mech. 7(2), 1550019-1–1550019-9 (2015)

    Article  Google Scholar 

  10. Kuzmin, A.: Shock wave bifurcation in channels with a bend. Archive of Applied Mechanics. http://link.springer.com/article/10.1007/s00419-015-1062-z (2015)

  11. Menter, F.R.: Review of the shear-stress transport turbulence model experience from an industrial perspective. Int. J. Comput. Fluid Dyn. 23, 305–316 (2009)

    Article  MATH  Google Scholar 

  12. Sforza, P.M.: Theory of Aerospace Propulsion. Academic Press, Waltham (2012)

    Google Scholar 

  13. Trapier, S., Deck, S., Duveau, P.: Delayed detached-eddy simulation of supersonic inlet buzz. In: 2nd Symposium on Hybrid RANS/LES Methods, Greece, TP 2007-108, pp. 1–16 (2007)

  14. Vivek, P., Mittal, S.: Buzz instability in a mixed-compression air intake. J. Propuls. Power 25, 819–822 (2012)

    Article  Google Scholar 

  15. Yamashita, H., Kuratani, N., Yonezawa, M., Ogawa, T., Nagai, H., Asai, K., Obayashi, S.: Wind tunnel testing on start/unstart characteristics of finite supersonic biplane wing. Int. J. Aerosp. Eng. 2013, Article ID 231434 (2013)

  16. Zha, G.-C., Knight, D., Smith, D., Haas, M.: Numerical simulation of HSCT inlet operability with angle of attack. In: AIAA Paper, no. 97-2761 (1997)

  17. Zha, G.-C., Knight, D., Smith, D.: Numerical investigations of HSCT inlet unstart transient at angle of attack. In: AIAA Paper, no. 98-3583 (1998)

Download references

Acknowledgements

This research was performed using computational resources provided by the Computational Center of St. Petersburg State University (http://cc.spbu.ru).

Author information

Authors and Affiliations

  1. Department of Fluid Dynamics, St. Petersburg State University, St. Petersburg, Russia

    Alexander Kuzmin

Authors
  1. Alexander Kuzmin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alexander Kuzmin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kuzmin, A. Transonic flow instability in the entrance region of a channel with breaks of walls. Arch Appl Mech 87, 1269–1279 (2017). https://doi.org/10.1007/s00419-017-1248-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-017-1248-7

Keywords

Search

Navigation