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Eigenvalue bounds for the Orr-Sommerfeld equation

Published online by Cambridge University Press:  28 March 2006

Daniel D. Joseph
Daniel D. Joseph
Affiliation:
Department of Aeronautics and Engineering Mechanics, University of Minnesota
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Abstract

Estimates of the eigenvalues C belonging to the manifold of solutions of the Orr-Sommerfeld equation are constructed by application of elementary isoperimetric inequalities. The inequalities also lead to a considerable improvement on the estimate of (αR) regions of linear stability given by Synge.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 3 , 2 September 1968 , pp. 617 - 621
Copyright
© 1968 Cambridge University Press

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References

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