On the role of linear mechanisms in transition to turbulence
- 1 March 1994
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (3) , 1396-1398
- https://doi.org/10.1063/1.868251
Abstract
Recent work has shown that linear mechanisms can lead to substantial transient growth in the energy of small disturbances in incompressible flows even when the Reynolds number is below the critical value predicted by linear stability (eigenvalue) analysis. In this note it is shown that linear growth mechanisms are necessary for transition in flows governed by the incompressible Navier–Stokes equations and that non-normality of the linearized Navier–Stokes operator is a necessary condition for subcritical transition.Keywords
This publication has 20 references indexed in Scilit:
- Initial Algebraic Growth of Small Angular Dependent Disturbances in Pipe Poiseuille FlowStudies in Applied Mathematics, 1992
- Experiments on transition in plane Couette flowJournal of Fluid Mechanics, 1992
- Direct simulation of turbulent spots in plane Couette flowJournal of Fluid Mechanics, 1991
- Secondary Instability of Boundary LayersAnnual Review of Fluid Mechanics, 1988
- On perturbation methods in nonlinear stability theoryJournal of Fluid Mechanics, 1983
- A flow-visualization study of transition in plane Poiseuille flowJournal of Fluid Mechanics, 1982
- A note on an algebraic instability of inviscid parallel shear flowsJournal of Fluid Mechanics, 1980
- Wave Breakdown and TurbulenceSIAM Journal on Applied Mathematics, 1975
- Stability of linear flowPhysics of Fluids, 1975
- Some observations on skin friction and velocity profiles in fully developed pipe and channel flowsJournal of Fluid Mechanics, 1969