Note on Howard's semicircle theorem
- 11 April 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 91 (3) , 489-491
- https://doi.org/10.1017/s0022112079000276
Abstract
For a steady plane parallel flow of an inviscid incompressible fluid of variable density under gravity, it is shown that the complex wave velocity for any unstable mode lies in a semi-ellipse whose major axis coincides with the diameter of Howard's semicircle, while its minor axis depends on the stratification.Keywords
This publication has 2 references indexed in Scilit:
- Hydrodynamic Stability of Parallel Flow of Inviscid FluidPublished by Elsevier ,1966
- Note on a paper of John W. MilesJournal of Fluid Mechanics, 1961