The convective nature of instability in plane Poiseuille flow

By numerical solution of the Orr–Sommerfeld equation for complex frequency and complex wavenumber for a wide range of Reynolds numbers R and by asymptotic analysis for large R, it is shown that there is no absolute instability in a two‐dimensional plane Poiseuille flow for any R and that the flow is...

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Veröffentlicht in:The Physics of fluids (1958) 1987-08, Vol.30 (8), p.2303-2305
1. Verfasser: Deissler, Robert J.
Format: Artikel
Sprache:eng
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Zusammenfassung:By numerical solution of the Orr–Sommerfeld equation for complex frequency and complex wavenumber for a wide range of Reynolds numbers R and by asymptotic analysis for large R, it is shown that there is no absolute instability in a two‐dimensional plane Poiseuille flow for any R and that the flow is convectively unstable for R c
ISSN:0031-9171
2163-4998
DOI:10.1063/1.866118