Eigenvalue bounds for the Orr-Sommerfeld equation
- 12 July 1968
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 33 (3), 617-621
- https://doi.org/10.1017/s0022112068001552
Abstract
Estimates of the eigenvalues C belonging to the manifold of solutions of the Orr-Sommerfeld equation are constructed by application of elementary isoperimetric inequalities. The inequalities also lead to a considerable improvement on the estimate of (αR) regions of linear stability given by Synge.This publication has 3 references indexed in Scilit:
- Nonlinear stability of the Boussinesq equations by the method of energyArchive for Rational Mechanics and Analysis, 1966
- Hydrodynamic Stability of Parallel Flow of Inviscid FluidPublished by Elsevier ,1966
- The stability of a family of Jeffery–Hamel solutions for divergent channel flowJournal of Fluid Mechanics, 1966