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Higher eigenstates in boundary-layer stability theory

Published online by Cambridge University Press:  11 April 2006

D. Corner ,
D. J. R. Houston  and
M. A. S. Ross
D. Corner
Affiliation:
Physics Department, University of Edinburgh, Scotland
D. J. R. Houston
Affiliation:
Physics Department, University of Edinburgh, Scotland
M. A. S. Ross
Affiliation:
Physics Department, University of Edinburgh, Scotland
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Abstract

Using the Orr-Sommerfeld equation with the wavenumber as the eigenvalue, a search for higher eigenstates in the stability theory of the Blasius boundary layer has revealed the existence of a number of viscous states in addition to the long established fundamental state. The viscous states are discrete, belong to two series, and are all heavily damped in space. Within the limits of the investigation the number of viscous states existing in the layer increases as the Reynolds number and the angular frequency of the perturbation increase. It is suggested that the viscous eigenstates may be responsible for the excitation of some boundary-layer disturbances by disturbances in the free stream.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 77 , Issue 1 , 9 September 1976 , pp. 81 - 104
Copyright
© 1976 Cambridge University Press

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