A numerical study of two‐dimensional instability‐wave control based on the Orr–Sommerfeld equation

A numerical method based on solution of the Orr–Sommerfeld equation is formulated to demonstrate the suppression of a two‐dimensional, Tollmien–Schlichting‐type, time‐harmonic instability wave in a developing channel flow by a downstream secondary wave created through alternating suction and blowing...

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Bibliographic Details
Published in:The Physics of fluids (1958) 1987-04, Vol.30 (4), p.998-1004
Main Authors: Bower, W. W., Kegelman, J. T., Pal, A., Meyer, G. H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Physics
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Summary:A numerical method based on solution of the Orr–Sommerfeld equation is formulated to demonstrate the suppression of a two‐dimensional, Tollmien–Schlichting‐type, time‐harmonic instability wave in a developing channel flow by a downstream secondary wave created through alternating suction and blowing at the surface. An analytical expression is derived providing the amplitude and a second parameter (the width or the phase) of the downstream surface‐velocity distribution required to create a wave that will suppress the downstream continuation of the original disturbance.
ISSN:0031-9171
2163-4998
DOI:10.1063/1.866287