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Wavenumber analyses of panel vibrations induced by transonic wall-bounded jet flow from an upstream high aspect ratio rectangular nozzle

  • Hambric, Stephen A. (Applied Research Lab, Penn State University) ;
  • Shaw, Matthew D. (Applied Research Lab, Penn State University) ;
  • Campbell, Robert L. (Applied Research Lab, Penn State University)
  • Received : 2018.08.20
  • Accepted : 2019.01.28
  • Published : 2019.11.25

Abstract

The structural vibrations of a flat plate induced by fluctuating wall pressures within wall-bounded transonic jet flow downstream of a high-aspect ratio rectangular nozzle are simulated. The wall pressures are calculated using Hybrid RANS/LES CFD, where LES models the large-scale turbulence in the shear layers downstream of the nozzle. The structural vibrations are computed using modes from a finite element model and a time-domain forced response calculation methodology. At low flow speeds, the convecting turbulence in the shear layers loads the plate in a manner similar to that of turbulent boundary layer flow. However, at high nozzle pressure ratio discharge conditions the flow over the panel becomes transonic, and the shear layer turbulence scatters from shock cells just downstream of the nozzle, generating backward traveling low frequency surface pressure loads that also drive the plate. The structural mode shapes and subsonic and transonic surface pressure fields are transformed to wavenumber space to better understand the nature of the loading distributions and individual modal responses. Modes with wavenumber distributions which align well with those of the pressure field respond strongly. Negative wavenumber loading components are clearly visible in the transforms of the supersonic flow wall pressures near the nozzle, indicating backward propagating pressure fields. In those cases the modal joint acceptances include significant contributions from negative wavenumber terms.

Keywords

Acknowledgement

We are grateful to Rick Labelle at Pratt and Whitney for sponsoring this work. We also acknowledge the data provided by Kenji Homma and Robert Schlinker at UTRC, and the helpful comments and CFD simulations provided by Kerwin Low, Brandon Rapp, and John Liu at Pratt and Whitney. This document is publicly released courtesy of Pratt and Whitney.

References

  1. Behrouzi, P. and McGuirk, J. (2015), "Underexpanded jet development from a rectangular nozzle with Aftdeck", AIAA J., 53(5), 1287-1298. https://doi.org/10.2514/1.J053376.
  2. Beresh, S.J., Henfling, J.F., Spillers, R.W. and Pruett, B.O.M., (2011), "Fluctuating wall pressures measured beneath a supersonic turbulent boundary layer", Phys. Fluids, 23, 07511. https://doi.org/10.1063/1.3609271.
  3. Bernardini, M. and Pirozzoli, S. (2011), "Wall pressure fluctuations beneath supersonic turbulent boundary layers", Phys. Fluids, 23, 085102. https://doi.org/10.1063/1.3622773.
  4. Camussi, R. and DiMarco, A. (2015), Wall Pressure Fluctuations Induced by Supersonic Turbulent Boundary Layer, in Flinovia - Flow Induced Noise and Vibration Issues and Aspects, Springer.
  5. Coe, C.F. and Chyu, W.J. (1972), "Pressure fluctuation inputs and response of panels underlying attached and separated supersonic turbulent boundary layers", NASA TM X-62, 189.
  6. Corcos, G.M. (1967), "The resolution of turbulent pressures at the wall of a boundary layer", J. Sound Vib., 6(1), 59-70. https://doi.org/10.1016/0022-460X(67)90158-7.
  7. Hambric, S.A. and Barnard, A.R., (2018), "Tutorial on wavenumber transforms of structural vibration fields", Proceedings of the Internoise 2018, Chicago, Illinois, U.S.A., August.
  8. Hambric, S.A., Hwang, Y.F. and Bonness, W.K. (2004), "Vibrations of plates with clamped and free edges excited by low-speed turbulent boundary layer flow", J. Fluids Struct., 19(1), 93-110. https://doi.org/10.1016/j.jfluidstructs.2003.09.002.
  9. Hambric, S.A., Shaw, M.D. and Campbell, R.L. (2018), "Panel vibrations induced by supersonic wallbounded jet flow from an upstream high aspect ratio rectangular nozzle", Proceedings of the International Conference on Flow Induced Noise and Vibration Issues and Aspects, State College, Pennsylvania, U.S.A., April.
  10. Homma, K., Branwart, P.R., Schlinker, R.H. and Rapp, B.M. (2016), "Unsteady loading and dynamic response of a structure excited by a high-speed wall-bounded jet, Part II: Structural Response", Proceedings of the 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France, May-June.
  11. Low, K.R., Bush, R.H. and Winkler, J. (2016), "Simulating sources of unsteadiness in a high-speed wallbounded jet", Proceedings of the 46th AIAA Fluid Dynamics Conference, AIAA Aviation, Washington, D.C., U.S.A., June.
  12. Maestrello, L. (1969), "Radiation from and panel response to a supersonic turbulent boundary layer", J. Sound Vib., 10(2), 261-295. https://doi.org/10.1016/0022-460X(69)90200-4.
  13. Paterson, R., Vogt, P. and Foley, W. (1973), "Design and development of the United Aircraft Research Laboratories acoustic research tunnel", J. Aircraft, 10(7), 427-433. https://doi.org/10.2514/3.60243.
  14. Powell, A. (1958), "On the fatigue failure of structures due to vibrations excited by random pressure fields", J. Acoust. Soc. Am., 30(12), 1130-1135. https://doi.org/10.1121/1.1909481.
  15. Shaw, M.D. (2015), "Predicting vibratory stresses from aero-acoustic loads", Ph.D. Dissertation, Penn State University, State College, Pennsylvania, U.S.A.
  16. Winkler, J., Schlinker, R.H., Simonich, J.C. and Low, K.R. (2016), "Unsteady loading and dynamic response of a structure excited by a high-speed wall-bounded jet, Part I: Aerodynamic Excitation", Proceedings of the 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France, May-June.
  17. Yang, M.Y., Palodichuk, M.T., Murray, N.E. and Janson, B.J. (2017), "Prediction of structural response in transonic flow using wavenumber decomposition of fluctuating pressures", Proceedings of the 23rd AIAA/CEAS Aeroacoustics Conference, Denver, Colorado, U.S.A., June.