A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula

4th AIAA/CEAS Aeroacoustics Conference

Volumn , Issue , 1998, Pages

  Farassat, F ^a   Brentner, Kenneth S ^a   Dunn, M H ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; AEROACOUSTICS;

GOVERNING EQUATIONS; LINEAR WAVE EQUATION; MATHEMATICAL PROBLEMS; NEW EXACT SOLUTIONS; NOISE GENERATION; ROTATING BLADES; SUPERSONIC SPEED; SURFACE SOURCES;

PROBLEM SOLVING;

EID: 84894597126     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-2375     Document Type: Conference Paper

References (12)

1. J. E. Ffowcs Williams and D. L. Hawkings: Sound Generation by Turbulence and Surfaces in Arbitrary Motion, Phil. Trans. Roy. Soc. London, Vol. A264, 1969, 321-342
2. F. Farassat: The Kirchhoff Formulas for Moving Surfaces in Aeroacoustics-The Subsonic and Supersonic Cases, NASA Technical Memorandum 110285, September 1996
3. F. Farassat: Linear Acoustic Formulas for Calculation of Rotating Blade Noise, AIAA J., Vol. 19, 1981,1122-1130
4. F. Farassat and M. K. Myers: Extension of Kirchhoff's Formula to Radiation from Moving Surfaces, J. Sound and Vib., Vol. 123, 1988,451-460
5. F. Farassat and G. P. Succi: The Prediction of Helicopter Rotor Discrete Frequency Noise, Vertica, Vol. 9, 1983, 309-320
6. F. Farassat: Introduction to Generalized Functions with Applications in Aerodynamics and Aeroacoustics, NASA Technical Paper 3428, May 1994, Corrected Copy, April 1996
7. Ram P. Kanwal: Generalized Functions-Theory and Technique, Second Edition, 1998, Birkhauser, Boston
8. Erwin Kreyszig: Differential geometry, Dover Books, 1991
9. A.J. McConnell: Applications of Tensor Analysis, Dover Books, 1957
10. F. Farassat: Theory of Noise Generation from Moving Bodies With an Application to Helicopter Rotors, NASA Technical Report R-451, 1975
11. E. De Bernardis and F. Farassat: On the Possibility of Singularities in the Acoustic Field of Supersonic Sources when BEM is Applied to Wave Equation, in Boundary Element Methods in Engineering, B. S. Annigeri and K. Tseng (Eds.), Springer-Verlag, 1990, 522-528
12. F. Farassat and M. K. Myers: Line Source Singularity in Wave Equation and Its Removal by Quadrupole Sources- A Supersonic Propeller Noise Problem, in Structural Acoustics, Scattering and Propagation, International Conference on Theoretical and Computational Acoustics, Vol. 1, John E. Ffowcs Williams, Ding Lee and Allan Pierce (Eds.), World Scientific, 1994,29-43