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

F. Farassat, Kenneth Steven Brentner, M. H. Dunn

Research output: Contribution to conferencePaper

9 Citations (Scopus)

Abstract

In this paper we address the mathematical problem of noise generation from high speed moving surfaces. The problem we are solving is the linear wave equation with sources on a moving surface. The Ffowcs Williams-Hawkings (FW-H) equation as well as the governing equation for deriving the Kirchhoff formula for moving surfaces are both this type of partial differential equation. We give a new exact solution of this problem here in closed form which is valid for subsonic and supersonic motion of the surface but it is particularly suitable for supersonically moving surfaces. This new solution is the simplest of all high speed formulations of Langley and is denoted formulation 4 following the tradition of numbering of our major results for the prediction of the noise of rotating blades. We show that for a smooth surface moving at supersonic speed, our solution has only removable singularities. Thus it can be used for numerical work.

Original languageEnglish (US)
DOIs
StatePublished - Jan 1 1998
Event4th AIAA/CEAS Aeroacoustics Conference, 1998 - Toulouse, France
Duration: Jun 2 1998Jun 4 1998

Other

Other4th AIAA/CEAS Aeroacoustics Conference, 1998
CountryFrance
CityToulouse
Period6/2/986/4/98

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Wave equations
Partial differential equations

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering
  • Aerospace Engineering

Cite this

Farassat, F., Brentner, K. S., & Dunn, M. H. (1998). A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula. Paper presented at 4th AIAA/CEAS Aeroacoustics Conference, 1998, Toulouse, France. https://doi.org/10.2514/6.1998-2375
Farassat, F. ; Brentner, Kenneth Steven ; Dunn, M. H. / A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula. Paper presented at 4th AIAA/CEAS Aeroacoustics Conference, 1998, Toulouse, France.
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Farassat, F, Brentner, KS & Dunn, MH 1998, 'A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula' Paper presented at 4th AIAA/CEAS Aeroacoustics Conference, 1998, Toulouse, France, 6/2/98 - 6/4/98, . https://doi.org/10.2514/6.1998-2375

A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula. / Farassat, F.; Brentner, Kenneth Steven; Dunn, M. H.

1998. Paper presented at 4th AIAA/CEAS Aeroacoustics Conference, 1998, Toulouse, France.

Research output: Contribution to conferencePaper

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Farassat F, Brentner KS, Dunn MH. A study of supersonic surface sources—The Ffowcs Williams-Hawrings equation and the Kirchhoff formula. 1998. Paper presented at 4th AIAA/CEAS Aeroacoustics Conference, 1998, Toulouse, France. https://doi.org/10.2514/6.1998-2375