On the behaviour of small disturbances in plane Couette flow. Part 3. The phenomenon of mode-pairing
- 12 August 1974
- journal article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 65 (1) , 29-32
- https://doi.org/10.1017/s0022112074001224
Abstract
In two earlier papers (Gallagher & Mercer 1962, 1964) the results for the first four eigenvalues of the problem of the stability of plane Couette flow were given. The first twelve eigenvalues have been calculated by the same method and the results show that the manner in which the eigenvalues join to form complex pairs depends on α, the wavenumber of the disturbance. They also would appear to indicate that mode-crossing always occurs.Keywords
This publication has 6 references indexed in Scilit:
- Uniform Asymptotic Approximations to the Solutions of the Orr‐Sommerfeld Equation. Part 1. Plane Couette FlowStudies in Applied Mathematics, 1974
- On the stability of plane Couette flow to infinitesimal disturbancesJournal of Fluid Mechanics, 1973
- On the behaviour of small disturbances in plane Couette flowJournal of Fluid Mechanics, 1964
- On the behaviour of small disturbances in plane Couette flowJournal of Fluid Mechanics, 1962
- Über das Spektrum bei Eigenschwingungen ebener LaminarströmungenZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1954
- On the problem of hydrodynamic stability. I. uniform shearing motion in a viscous fluidPhilosophical Transactions of the Royal Society A, 1930