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Eigenvalues in trailing edge flows

Published online by Cambridge University Press:  09 April 2009

K. Capell
Affiliation:
Department of MathematicsUniversity of Queensland, Australia
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Abstract A wake similarity solution for symmetric uniform shear flows merging at the trailing edge of a flat plate has associated with it an eigenfunction problem which was overlooked by Hakkinen and O'Neil (1967). An asymptotic formula for large eigenvalues is obtained and compared with another such formula related to both the Goldstein (1930) inner wake solution and Tillett's (1968) similarity solution for a jet emerging from a two-dimensional channel.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1975

References

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