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on the instability of a three-dimensional attachment-line boundary layer - weakly nonlinear theory and a numerical approachThe instability of a three-dimensional attachment-line boundary layer is considered in the nonlinear regime. Using weakly nonlinear theory, it is found that, apart from a small interval near the (linear) critical Reynolds number, finite-amplitude solutions bifurcate subcritically from the upper branch of the neutral curve. The time-dependent Navier-Stokes equations for the attachment-line flow have been solved using a Fourier-Chebyshev spectral method and the subcritical instability is found at wavenumbers that correspond to the upper branch. Both the theory and the numerical calculations show the existence of supercritical finite-amplitude (equilibrium) states near the lower branch which explains why the observed flow exhibits a preference for the lower branch modes. The effect of blowing and suction on nonlinear stability of the attachment-line boundary layer is also investigated.
Document ID
19860045630
Document Type
Reprint (Version printed in journal)
Authors
Hall, P.
(Exeter, University United Kingdom)
Malik, M. R.
(High Technology Corp. Hampton, VA, United States)
Date Acquired
August 12, 2013
Publication Date
February 1, 1986
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 163
ISSN: 0022-1120
Subject Category
FLUID MECHANICS AND HEAT TRANSFER
Funding Number(s)
CONTRACT_GRANT: NAS1-17070
CONTRACT_GRANT: NAS1-16916
Distribution Limits
Public
Copyright
Other