DOI QR코드

DOI QR Code

Acoustic Analysis of Axial Fan using Kirchhoff Surface

Kirchhoff 면을 이용한 홴소음 해석

  • 박용민 (인하대학교 대학원 기계공학과) ;
  • 송우석 (인하대학교 대학원 기계공학과) ;
  • 이승배 (인하대학교 기계공학과)
  • Published : 2003.06.01

Abstract

The BEM is a highly efficient method in the sense of economical computation. However, boundary integration is not easy for the complex geometry and moving surface, e.g. a rotating blade. Thus, Kirchhoff surface is designed in an effort to overcome the difficulty resulting from complex boundary conditions. A Kirchhoff surface is a fictitious surface which envelopes acoustic sources of main concern. Acoustic sources may be distributed on each Kirchhoff surface element according to their acoustic characteristics. In this study, an axial fan is assumed to have unsteady loading noise as a dominant source. Dipole sources can be modeled to solve the FW-H equation. Acoustic field is then computed by determining Kirchhoff surface on which near-field is implemented, to analyze the effect of Kirchhoff surface on it. The optimal shape and the location of Kirchhoff surface are discussed by comparing with experimental data acquired in an anechoic chamber.

Keywords

References

  1. Japikse, D., 1996, 'Agile Design System in the age of Concurrent Engineering,' presented to the 1996 JANNAF Propulsion Subcommittee Meetings, Albuquerque, New Mexico
  2. Sharland, I.J., 1964, 'Sources of Noise in Axial Flow Fans,' J. Sound and Vib., Vol. 1, pp. 302-322 https://doi.org/10.1016/0022-460X(64)90068-9
  3. Lee, C., Chung, M.K. and Kim, Y.H., 1993, 'A Prediction Model for the Vortex Shedding Noise from the Wake of an Airfoil or Axial Flow Fan Blades,' J. Sound and Vib., Vol. 164, pp. 327-336 https://doi.org/10.1006/jsvi.1993.1217
  4. Jeon, W.-H., Chung, K.-H., Lee. D.-J., 2000, 'An Analysis of the Flow and Sound Field of a Ducted Axial Fan,' Journal of Fluid Machinery, Vol. 3, No. 2, pp. 15-23
  5. Ffowcs Williams, J.E. and Hawkings, D.L., 1969, 'Theory Relating to the Noise of Rotating Machinery,' J. Sound and Vib., Vol. 10, p. 10 https://doi.org/10.1016/0022-460X(69)90125-4
  6. Goldstein, M.E., 1976, Aeroacoustics, McGraw-Hill Inc., New York
  7. Lighthill, M.J., 1952, 'On Sound Generated Aerodynamically; 1. General Theory,' Proc. Roy. Soc. London Ser. A., Vol. 211, pp. 564-587 https://doi.org/10.1098/rspa.1952.0060
  8. Wu, T.W. and Wan, G.C., 1992, 'Numerical Modeling of Acoustic Radiation and Scattering from Thin Bodies Using a Cauchy Principal Integral Equation,' J. Acous. Soc. Am., Vol. 92, pp. 2900-2906 https://doi.org/10.1121/1.404375
  9. Powell, A., 1964, 'Theory of Vortex Sound,' J. Acoust. Soc. Am., Vol. 36, pp. 177-195 https://doi.org/10.1121/1.1918931
  10. Curle, N., 1955, 'The Influence of Solid Boundaries upon Aerodynamic Sound,' Theory of Vortex Sound,' Proc. Roy. Soc. London Ser. A., Vol. 231, pp. 505-514 https://doi.org/10.1098/rspa.1955.0191
  11. Farassat, F., 1981, 'Linear Acoustic Formulas for Calculation of Rotating Blade Noise,' AIAA J., Vol. 19, No. 9, pp. 1122-1130 https://doi.org/10.2514/3.60051
  12. Farassat, F. and Myers, M.K., 1988, 'Extension of Kirchhoff's Formula to Radiation from Moving Surfaces,' J. Sound and Vib., Vol. 123, No. 3, pp. 451-461 https://doi.org/10.1016/S0022-460X(88)80162-7
  13. Kim, K.-H., 2002, Design Program of Low-noise Axial Fan and Analysis of Fan Performance and Noise, M.S. Thesis, Inha University
  14. Wagner, S., BareiB, R., and Guidati, G., 1996, Wind Turbine Noise, Springer
  15. Nakano, T., Kim, H.-J., Lee, S., Fujisawa, N. and Takagi, Y., 2002, 'A Study on Discrete Frequency Noise from a Symmetrical Airfoil in a Uniform Flow,' The Fifth JSME-KSME Conference, Nov. 17-21, pp. 1-7
  16. iDesignFan Version 3.0, 2002, User's Manual, AeroNet Inc.
  17. Jenkins, F.A. and White, H.E., 1937, Fundamental of Physical Optics, McGraw-Hill Inc., New York
  18. Blake, W.K., 1986, Mechanics of Flow-Induced Sound and Vibration, Volume II, Academic Press Inc.
  19. Brentner, K.S. and Farassat, F., 1998, 'An Analytical Comparison of the Acoustic Analogy and Kirchhoff Formulation for Moving Surfaces,' AIAA J., Vol. 36, No. 8, pp. 1379-1386 https://doi.org/10.2514/2.558