Skip to main content
Log in

Characteristics of Oscillations in Supersonic Open Cavity Flows

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

Characteristics of oscillations in supersonic open cavity flows are investigated numerically using hybrid RANS/LES (Reynolds-Averaged Navier-Stokes/Large Eddy Simulation) method. The oscillation regimes and feedback mechanisms for the supersonic cavity flows are identified and analyzed. The calculation captures a mixed shear-layer/wake oscillation mode in the flow of Ma = 1.75, where these two modes occur alternately. The shear-layer mode and wake mode are driven by vortex convection-acoustic feedback and absolute instability, respectively. In particular, the results indicate that the feedback-acoustic-wave in the shear-layer mode is probably generated by the reflection of the downstream-traveling pressure wave, associated with the shed vortex in the shear layer, on the aft wall. The cavity flow of Ma = 2.52 is then simulated to see the influence of Mach number. It is found that the increase of Mach number may decrease the amplitude of the fluctuations in the shear layer, inhibiting the transition to wake mode. Furthermore, the influence of upstream injection is also studied, where the results show that the injection only weakens the oscillations and faintly shifts the resonant frequencies.

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. Stalling, R.L., Wilcox, F.J.: Experimental Cavity Pressure Distributions at Supersonic Speeds. NASA TP-2683 (1987)

  2. Tam, C.J.: Algebraic turbulence model simulations of supersonic open-cavity flow physics. AIAA J. 34(11), 2255–2260 (1996)

    Article  Google Scholar 

  3. Rockwell, D., Naudascher, E..: Review-self-sustaining oscillations of flow past cavities. J. Fluids Eng. 100(6), 152–165 (1978)

    Article  Google Scholar 

  4. Sahoo, D., Annaswamy, A., Zhuang, N., Alvi, F.: Control of Cavity Tones in Supersonic Flow. AIAA Paper 2005-793 (2005)

  5. Blake, W.K., Powell, A.: The development of contemporary views of flow-tone generation. In: Recent Advances in Aeroacoustics, pp. 247–345. Springer (1986)

  6. Rossiter, J.E.: Wind-tunnel Experiments on the Flow Over Rectanglar Cavities at Supersonic and Transonic Speeds. Reports and Memo-randa No. 3438 (1964)

  7. Tam, C.K.W., Block, P.J.W.: On the tones and pressure oscillations indeuced by flow over rectangular cavities. J. Fluid Mech. 89, 373–399 (1978)

    Article  MathSciNet  Google Scholar 

  8. Ünalmis, Ö.H., Clemens, N.T., Dolling, D.S.: Cavity oscillation mechanisms in high-speed flows. AIAA J. 42(10), 2035–2041 (2004)

    Article  Google Scholar 

  9. Heller, H.H., Bliss, D.B.: Aerodynamically Induced Pressure Oscillations in Cavities: Physical Mechanisms and Suppression Concepts. AFFDL-TR-74-133 (1975)

  10. Li, W., Nonomura, T., Oyama, A., Fujii, K.: LES Study of Feedback-loop Mechanism of Supersonic Open Cavity Flows. AIAA Paper 2010-5112 (2010)

  11. Li, W., Nonomura, T., Fujii, K.: Effects of shear-layer characteristic on the Feedback-loop Mechanism in supersonic open cavity flows. AIAA Paper 2011-1218 (2011)

  12. Gharib, M., Roshko, A.: The effect of flow oscillations on cavity drag. J. Fluid Mech. 177, 501–530 (1987)

    Article  Google Scholar 

  13. Colonius, T., Basu, A.J., Rowley, C.W.: Numerical Investigation of the Flow Past a Cavity. AIAA Paper 99-1912 (1999)

  14. Rowley, C.W., Colonius, T., Basu, A.J.: On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities. J. Fluid Mech. 455, 315–346 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  15. Spalart, P.R., Allmaras, S.R.: A one-equation turbulence model for aerodynamic flows. AIAA Paper 92-0439 (1992)

  16. Yoshizawa, A., Horiuti, K.: A statistically-derived subgrid scale kinetic energy model for large-eddy simualtion of turbulent flows. J. Phys. Soc. Jpn. 54(8), 2834–2839 (1985)

    Article  Google Scholar 

  17. Wang, H.B., Qin, N., Sun, M.B., Wang, Z.G.: A dynamic pressure-sink method for improving large eddy simulation and hybrid Reynolds-averaged Navier-Stokes/large eddy simulation of wall-bounded flows. Proc. Inst. Mech. Eng., Part G: J. Aerosp. Eng. 226(9), 1107–1120 (2012)

    Article  Google Scholar 

  18. Sánchez-Rocha, M., Menon, S.: The compressible hybrid RANS/LES formulation using an additive operator. J. Comput. Phys. 228, 2037–2062 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  19. Jiang, G., Shu, C.W.: Efficient implementation of weighted ENO schemes. J. Comput. Phys. 126, 917–923 (1996)

    Article  MathSciNet  Google Scholar 

  20. Sun, M.B., Geng, H., Liang, J.H., Wang, Z.G.: Mixing characteristics in a supersonic combustor with gaseous fuel injection upstream of a cavity flameholder. Flow Turbulence Combust. 82, 271–286 (2009)

    Article  MATH  Google Scholar 

  21. Sun, M.B., Wang, Z.G., Liang, J.H., Geng, H.: Flame characteristics in a supersonic combustor with hydrogen injection upstream of a cavity flameholder. J. Propuls. Power 24(4), 688–696 (2008)

    Article  Google Scholar 

  22. Settles, G.S., Williams, D.R.: Reattachment of a compressible turbulent free shear layer. AIAA J. 20(1), 60–67 (1982)

    Article  Google Scholar 

  23. Horstman, C.C., Settles, G.S., Williams, D.R., Bogdonoff, S.M.: A reattaching free shear layer in compressible turbulent flow. AIAA J. 20(1), 79–85 (1982)

    Article  Google Scholar 

  24. Heller, H.H., Bliss, D.B.: The physical mechanism of flow induced pressure fluctuations in cavities and concepts for their suppression. AIAA Paper 75-491 (1975)

  25. Kegerise, M.A., Spina, E.F., Cattafesta, L.N.: An Experimental Investigation of Flow-Induced Cavity Oscillations. AlAA Paper 99-3705 (1999)

  26. Cattafesta, L.N., Garg, S., Kegerise, M.S., Jones, G.S.: Experiments on compressible flow-induced cavity oscillations. AIAA Paper 98-2912 (1998)

  27. Huerre, P., Monkewitz, P.A.: Absolute and convective instabilities in free shear layers. J. Fluid Mech. 159, 151–168 (1985)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhenguo Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, H., Sun, M., Qin, N. et al. Characteristics of Oscillations in Supersonic Open Cavity Flows. Flow Turbulence Combust 90, 121–142 (2013). https://doi.org/10.1007/s10494-012-9434-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-012-9434-8

Keywords

Navigation