Eigenvalue bounds for the Orr—Sommerfeld equation. Part 2
- 19 May 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 36 (4) , 721-734
- https://doi.org/10.1017/s0022112069001959
Abstract
Rigorous estimates of amplification rates, wave speeds and sufficient conditions for linear stability are derived for the manifold of solutions of the Orr—Sommerfeld problem governing parallel motion in the boundary layer and in round pipes. The estimates for channel flow (part I) are improved and compared with numerical results for the neutral stability of Jeffery—Hamel flow.Keywords
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