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- W30010324 abstract "A 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." @default.
- W30010324 created "2016-06-24" @default.
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- W30010324 date "1977-07-01" @default.
- W30010324 modified "2023-10-14" @default.
- W30010324 title "Generalized Theodorsen solution for singular integral equations of the airfoil class" @default.
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- W30010324 doi "https://doi.org/10.1090/qam/464901" @default.
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