NDLI: A study of supersonic surface sources: the ffowcs williams-hawkings equation and the kirchhoff formula

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A study of supersonic surface sources: the ffowcs williams-hawkings equation and the kirchhoff formula

Content Provider	NASA Technical Reports Server (NTRS)
Author	Farassat, F. Dunn, M. H. Brentner, Kenneth S.
Copyright Year	2004
Description	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 govern- ing 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.
File Size	955687
Page Count	14
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20040090462
Archival Resource Key	ark:/13960/t9d55kz44
Language	English
Publisher Date	2004-01-01
Access Restriction	Open
Subject Keyword	Aircraft Design, Testing And Performance Partial Differential Equations Supersonic Speed Rotor Blades Turbomachinery Kirchhoff Law Wave Equations Rotating Bodies Surface Properties Noise Prediction Aircraft Singularity Mathematics Mathematical Models Aeroacoustics Mach Number Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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