The three-dimensional instability of strained vortices in a viscous fluid
- 1 August 1987
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 30 (8) , 2339-2342
- https://doi.org/10.1063/1.866124
Abstract
The recent theory describing 3‐D exact solutions of the Navier–Stokes equations is applied to the problem of stability of 2‐D viscous flow with elliptical streamlines. An intrinsically inviscid instability mechanism persists in all such flows provided the length scale of the disturbance is sufficiently large. Evidence is presented that this mechanism may be responsible for 3‐D instabilities in high Reynolds number flows whose vortex structures can be locally described by elliptical streamlines.Keywords
This publication has 9 references indexed in Scilit:
- An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillatorsPhysica D: Nonlinear Phenomena, 1987
- Three-Dimensional Instability of Elliptical FlowPhysical Review Letters, 1986
- Universal Short-Wave Instability of Two-Dimensional Eddies in an Inviscid FluidPhysical Review Letters, 1986
- Evolution of wavelike disturbances in shear flows : a class of exact solutions of the Navier-Stokes equationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1986
- Three-dimensional stability of an elliptical vortex in a straining fieldJournal of Fluid Mechanics, 1984
- Secondary instability of wall-bounded shear flowsJournal of Fluid Mechanics, 1983
- Large scales in the developing mixing layerJournal of Fluid Mechanics, 1976
- A comparison of the wake structure of a stationary and oscillating bluff body, using a conditional averaging techniqueJournal of Fluid Mechanics, 1976
- XXI. Stability of fluid motion (continued from the May and June numbers).—Rectilineal motion of viscous fluid between two parallel planesJournal of Computers in Education, 1887