Skip to main content
Log in

Numerical prediction of supersonic jet screech frequency

  • Original Article
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

Screech frequency is predicted using three different approaches, which make use of different quantities measured from the same computed flow field. The three different approaches are based on shock cell spacing in the imperfectly expanded supersonic jet, the wavelength of standing wave formed at the edge of the shear layer due to interference between downstream propagating hydrodynamic instabilities and upstream propagating acoustic waves, and from a spectral analysis of near-field pressure fluctuations. The computed flowfield for underexpanded and overexpanded axisymmetric screeching jets are obtained by solving the unsteady Navier-Stokes equations using a higher order Weighted Essentially Non-Oscillatory (WENO) discretization along with a subgrid scale Large-Eddy Simulation (LES) model.

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. Powell A. (1953). On the mechanism of choked jet noise. Proc. Phys. Soc. Lond. 66: 1039–1056

    Article  ADS  Google Scholar 

  2. Powell A. (1953). On the noise emanating from a two-dimensional jet above the critical pressure. Aeronaut. Q. 4: 103–122

    Google Scholar 

  3. Raman G. (1999). Supersonic jet screech: Half-Century from Powell to present. J. Sound Vib. 225: 543–571

    Article  ADS  Google Scholar 

  4. Panda J. (1998). Shock oscillation in under expanded screeching jets. J. Fluid Mech. 363: 81–116

    Article  Google Scholar 

  5. Panda J. (1999). An experimental investigation of screech noise generation. J. Fluid Mech. 378: 71–96

    Article  ADS  Google Scholar 

  6. Panda J. and Seasholtz R.G. (1999). Measurement of shock structure and shock-vortex interaction in under-expanded jets using Rayleigh scattering. Phys. Fluids 11(12): 3761–3777

    Article  ADS  Google Scholar 

  7. Norum, T., Seiner J.: Measurements of mean static pressure and far-field acoustic of shock-containing supersonic jets. NASA TM 84521 (1982)

  8. Ponton, M.K., Seiner, J.M., Brown, M.C.: Near field pressure fluctuations in the exit plane of a choked axisymmetric nozzle. NASA TM 113137 (1997)

  9. Rona A. and Zhang X. (2004). Time accurate numerical study of turbulent supersonic jets. J. Sound Vib. 270: 297–321

    Article  ADS  Google Scholar 

  10. Li X.D. and Gao J.H. (2005). Numerical simulation of the generation mechanism of axisymmetric supersonic jet screech tones. Phys. Fluids 17: 085105–0851058

    Article  ADS  Google Scholar 

  11. Shen H. and Tam C.K.W. (2002). Three dimensional numerical simulation of the jet screech phenomenon. AIAA J. 40(1): 33–41

    Google Scholar 

  12. Smagorinsky J. (1963). General circulation experiments with the primitive equations, part I: the basic experiment. Mon. Weather Rev. 91: 99–152

    Article  ADS  Google Scholar 

  13. DeBonis J.R. and Scott J.N. (2002). Large-Eddy Simulation of a Turbulent Compressible Round jet. AIAA J. 40(7): 1346–1354

    Article  Google Scholar 

  14. Shu, C.W.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. NASA/CR-97-206253 (1997)

  15. Shu C.W. and Osher S. (1989). Efficient implementation of essentially non-oscillatory shock-capturing schemes, 2. J. Comp. Phys. 83: 32–78

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Loh, C.Y., Hultgren, L.S., Jorgenson P.C.E.: Near field screech noise computation for an under-expanded supersonic jet by the CE/SE method. AIAA paper 2001–2252 (2001)

  17. Ponton M.K. and Seiner J.M. (1992). The effects of nozzle exit lip thickness on plume resonance. J. Sound Vib. 154: 531–549

    Article  ADS  Google Scholar 

  18. Jorgenson, P.C.E., Loh, C.Y.: Computing axisymmetric jet screech tones using unstructured grids. AIAA paper 2002–3889 (2002)

  19. Pack D. (1950). A note on Prandtl’s formula for the wavelength of a supersonic gas jet. Q. J. Mech. Appl. Math. III: 173–181

    Article  MathSciNet  Google Scholar 

  20. Panda, J., Raman, G., Zaman, K.B.M.Q.: Under-expanded screeching jets from circular, rectangular and elliptic nozzles. AIAA Paper 97–1623 (1997)

  21. Seiner, J., Manning, J., Ponton, M.: The preferred mode of instability for a Mach 2 jet. AIAA Paper 86–1942 (1986)

  22. Seiner, J., Norum, T., Manning, J.: Aerodynamic aspects of shocks containing jet plumes. AIAA Paper 80–0965 (1980)

  23. Mitchell, B., Lele, S., Moin, P.: Direct computation of sound generated by subsonic and supersonic axisymmetric jets. Report TF-66, Thermoscience Division, Department of Mechanical Engineering, Stanford University, CA, USA (1995)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Chatterjee.

Additional information

Communicated by K.P.J. Reddy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, A., Chatterjee, A. Numerical prediction of supersonic jet screech frequency. Shock Waves 17, 263–272 (2007). https://doi.org/10.1007/s00193-007-0110-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-007-0110-1

Keywords

PACS

Navigation