Abstract
A brief review of Ffowcs Williams-Hawkings equation and the research on applying this equation to problems of aeroacoustics is presented.
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References
J. E. Ffowcs Williams and D. L. Hawkings, Phil. Trans. Roy. Soc. London, A264, 1969, 321–342.
M. J. Lighthill, Proc. Roy. Soc. London, A211, 564–587.
J. E. Ffowcs Williams, IMA J. Appl. Math., 32, 1984, 113–124.
F. Farassat, J. Sound and Vib., 32, 1974, 387–405.
D. L. Hawkings and M. V. Lowson, J. Sound and Vib., 36, 1974, 1–20.
B. Friedman, Principles and Techniques of Applied Mathematics, John Wiley and Sons, Ltd., 1956.
E. J. Richards and D. J. Mead, Noise and Acoustic Fatigue in Aeronautics, John Wiley and Sons, Ltd., 1968.
I. M. Gel’fand and G. E. Shilov, Generalized Functions, Academic Press, Vol. 1, 1964.
R. P. Kanwal, Generalized Functions-Theory and Technique, Academic Press, 1983.
F. Farassat, J. Sound and Vib., 55, 1977, 165–193
M. E. Goldstein, Aeroacoustics, McGraw-Hill International Book Co., 1976.
J. E. Ffowes Williams, J. Fluid Mech., 66, 1974, 791–816.
J. E. Ffowes Williams and D. J. Lovely, J. Sound and Vib., 50, 1977, 333–343.
J. E. Ffowes Williams, AIAA Paper 79–0576, AIAA 5th Aeroacoustics Conf., Seattle Washington, 1979.
J. E. Ffowes Williams, AIAA Jour., 20, 1983, 307–315.
H. W. Blackburn, Sound Sources on High Speed Surfaces, Ph.D. Dissertation, Clare College, University of Cambridge, 1983.
F. Farassat, The Sound from Rigid Bodies in Arbitrary Motion, Ph.D. Thesis, Cornell University, 1973.
F. Farassat, NASA TR R-451, 1975.
F. Farassat, AIAA J., 19, 1981, 1122–1130.
F. Farassat, Advanced Theoretical Treatment of Propeller Noise, von Karman Inst. Lec. Ser. 1982–08, 1982.
F. Farassat and J. P. Succi, Vertica, 7, 1983, 309–320.
F. Farassat, AIAA Paper 84–2303, AIAA/NASA 9th Aeroacoustics Conf., Williamsburg, Virginia, 1984.
J. E. Ffowcs Williams, Aeroacoustics, Ann. Rev. Fl. Mech., 9, 1977, 447–468.
D. B. Hanson and M. R. Fink, J. Sound and Vib., 62, 1979, 19–38.
F. H. Schmitz and Y. H. Yu, J. Am. Helicopter Soc., 24, 1979.
P. J. W. Block, AIAA Paper 84–2263, AIAA/NASA 9th Aeroacoustics Conf., Williamsburg, Virginia, 1984.
Lyle N. Long, NASA TP-2197, 1983.
F. Farassat, AIAA J., 22, 1984, 1337–1340.
M. V. Lowson, Proc. Roy. Soc. Lond., A286, 1965, 559–572.
I. E. Garrick and C. E. Watkins, NACA Rep. 1198, 1954.
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© 1986 Springer, Berlin Heidelberg
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Farassat, F. (1986). The Ffowcs Williams-Hawkings Equation — Fifteen Years of Research. In: Comte-Bellot, G., Williams, J.E.F. (eds) Aero- and Hydro-Acoustics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82758-7_16
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DOI: https://doi.org/10.1007/978-3-642-82758-7_16
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