Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
- 1 January 1988
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (1) , 56-64
- https://doi.org/10.1063/1.867002
Abstract
In this paper the classical Rayleigh centrifugal instability theory is extended to general inviscid two‐dimensional flows. Sufficient conditions for centrifugal instability are that the streamlines be convex closed curves in some region of the flow, with the magnitude of the circulation decreasing outward. If these conditions are satisfied, a class of three‐dimensional short‐wave instabilities can be constructed, which are localized near the streamline on which the exponent of a certain matrix Floquet problem is maximized.Keywords
This publication has 16 references indexed in Scilit:
- The three-dimensional instability of strained vortices in a viscous fluidPhysics of Fluids, 1987
- On the existence of localized rotational disturbances which propagate without change of structure in an inviscid fluidJournal of Fluid Mechanics, 1986
- Universal Short-Wave Instability of Two-Dimensional Eddies in an Inviscid FluidPhysical Review Letters, 1986
- Nonlinear stability analysis of stratified fluid equilibriaPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1986
- Secondary instability of plane channel flow to subharmonic three-dimensional disturbancesPhysics of Fluids, 1983
- Secondary instability of wall-bounded shear flowsJournal of Fluid Mechanics, 1983
- The two- and three-dimensional instabilities of a spatially periodic shear layerJournal of Fluid Mechanics, 1982
- Görtler instabilityPhysics of Fluids, 1981
- Dreidimensionale Störungen in der Grenzschicht an einer konkaven WandActa Mechanica, 1972
- On the dynamics of revolving fluidsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1917