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On determination of the characteristic equations for the stability of parallel flows

Published online by Cambridge University Press:  28 March 2006

W. P. Graebel
W. P. Graebel
Affiliation:
Department of Engineering Mechanics, The University of Michigan
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Abstract

The Orr-Sommerfeld equation is solved for large Reynolds number by use of inner and outer expansion theory. The method is shown to have distinct computational advantages over the method of solution due to Sommerfeld and Lin and to be applicable to a wider class of boundary conditions. The method can be simply extended to other characteristic problems in fluids involving viscous effects concentrated in narrow regions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 24 , Issue 3 , March 1966 , pp. 497 - 508
Copyright
© 1966 Cambridge University Press

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References

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