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Generalized Theodorsen solution for singular integral equations of the airfoil classA class of singular integral equations is considered which arise in various two-dimensional mixed boundary-value problems with simple harmonic time variation. A problem typical of this class is that of determining the lifting pressure distribution on an oscillating airfoil in an unbounded incompressible potential flow. It is shown that Theodorsen's (1935) solution to this problem, with some modification, is valid for a general class of unsteady kernel functions. The technique employed is to consider an equivalent steady problem and then show that the unsteady resolvent and unsteady homogeneous solution can be written directly in terms of the steady solutions and a single frequency-dependent function which reduces to the Theodorsen function for the steady kernel.
Document ID
19770062094
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Williams, M. H.
(Princeton University Princeton, N.J., United States)
Date Acquired
August 9, 2013
Publication Date
July 1, 1977
Publication Information
Publication: Quarterly of Applied Mathematics
Volume: 35
Subject Category
Aerodynamics
Accession Number
77A44946
Funding Number(s)
CONTRACT_GRANT: NGR-31-001-197
Distribution Limits
Public
Copyright
Other

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