Rotor High-Speed Noise Prediction with a Combined CFD-Kirchhoff Method

CFD와 Kirchhoff 방법의 결합을 이용한 로터의 고속 충격소음 해석

  • 이수갑 (서울대학교, 항공우주공학과) ;
  • 윤태석 (서울대학교 대학원 항공우주공학과)
  • Published : 1996.10.01

Abstract

A combined computational fluid dynamics(CFD)-Kirchhoff method is presented for predicting high-speed impulsive noise generated by a hovering blade. Two types of Kirchhoff integral formula are used; one for the classical linear Kirchhoff formulation and the other for the nonlinear Kirchhoff formulation. An Euler finite difference solver is solved first to obtain the flow field close to the blade, and then this flow field is used as an input to a Kirchhoff formulation to predict the acoustic far-field. These formulas are used at Mach numbers of 0.90 and 0.95 to investigate the effectiveness of the linear and nonlinear Kirchhoff formulas for delocalized flow. During these calculiations, the retarded time equation is also carefully examined, in particular, for the cases of the control surface located outside of the sonic cylinder, where multiple roots are obtained. Predicted results of acoustic far-field pressure with the linear Kirchhoff formulation agree well with experimental data when the control surface is at the certain location(R=1.46), but the correlation is getting worse before or after this specific location of the control surface due to the delocalized nonlinear aerodynamic flow field. Calculations based on the nonlinear Kirchhoff equation using a linear sonic cylinder as a control surface show a reasonable agreement with experimental data in negative amplitudes for both tip Mach numbers of 0.90 and 0.95, except some computational integration problems over a shock. This concliudes that a nonlinear formulation is necessary if the control surface is close to the blade and the flow is delocalized.

Keywords

References

  1. Philosophical Transactions of the Royal Society v.a264 Sound Generated by Turbulence and Surfaces in Arbitrary Motion Ffowcs Williams, J.D.;Hawkings, D.L.
  2. Journal of Sound of Sound and Vibration v.109 no.3 Hklicopter Impulsive Noise : Theoretical and Experimental status Schmitz, F. H.;Yu, Y.H.
  3. Presented at the International tdchnical Specialist Meeting on Rotorcraft and rltor Fluid Dynamics Arrodynamic and Acoustic Calculation of Transonic Nonlifing Hovering Rotors Prieur, J.;Coster, M.;Baeder, J.D.
  4. Journal of The Amerian Helicopter Society The Use and Abuse of the Acoustic Analogy in Helicopter Rotor Noise Prediction Farassat, F.;Brentner, K.
  5. Presented at the 43rd American Helicopter Society Forum, Prediction of Helicopter Rotor Impulsive Noise using Measured Blade Pressures Schultz, K.J.;Splettstoesser, W.R.
  6. 46th American Helicopter Society Forum Can Shock waves on Helicopter Rotors Geaerate Noise? : A study of Quadrupole Source Farassat, F.;Tadghighi, H.
  7. Presented at the International Technical Specialist Meetong on Rotorcraft Acoustics and Rotor Fluid Dynamics Shock Waves and The Ffowcs Williams-Hawkings Dquation Isom, M.P.;Yu, .Y.H.
  8. Ph. D. Dissertation, Stanford University Computation and Analysis of Acoustic Waves in Transonic Airfoil-Vortex Interactions Baeder, J.D.
  9. Paper No.Ⅱ. 3.3, 16th European rotorcraft Forum Euler solutions to nonlinear Acoustecs of Mon-lifting Hovering Rotor Blades Baeder, J. D.
  10. AOAA Paper 93-4359, 15th AIAA Aeroacoustics Conference Unstructured Adaptive Mesh Computations of Rotorcraft High-Speed Impulsive Moise Strawn, R.;Garceau M.;Biswas, R.
  11. AIAA Aeroacoustics Conference A Computational of the Aeroacoustics of Rotors in Hover Baeder, J.D.;Gallman, J.M.;Yu, Y.H.
  12. AIAA Journal v.31 no.5 TURNS: A Free-Wake Euler/Navier-Stokes Mumerical Method for Holicopter Rotors Srinivasan, G.R.;Baeder, J.D.
  13. AIAA-97-2748k 11th AIAA Aeroacoustics Conference Geometrucal Acoustics and Transonic Helicopter Sound Isom, M.;Purcell, W.;Strawn, R.
  14. The Mathematical Theory of Huygens' Priciple Baker, B.B.;Copson, E.T.
  15. Journal of Sound and Vibration v.123 no.3 Extension of Kirchhoff,s Formula to Fadiation from Moving Surfaces Farassat, F.;Myers, M.K
  16. AIAA Journal v.27 no.10 The Use of Korchhoff Method in Acoustics Lyrintzis, A.S.;George, A.R.
  17. Presened at the 49th Annual Forum of the American Helicppter Society The Use of a Rotating Kirchhoff Formulation for 3-D Tramsonic MVI Far-Field Moise Xue, Y.;Lyrintzis, A. S.
  18. AIAA 80-1009, AIAA 6th Transonic Aerodynamics Conrerence High-Speed Rotor Noise and Transonic Aerodynamics Yu, Y.H.;Schmitz F. H.
  19. AHS Specialists Meeting on Airodynamic and Aeroacoustics Prediction of High-Speed rotor Noese with a Korchhoff Formula Purcell, T. W.;Strwn, R. C.;Yu, Y.H.
  20. Fourteenth European Rotorcraft Forum CFD and Trantonic Helicopter Sound Purcell, T.W.