Transition to turbulence
Abstract
A few known types of transition to turbulence, as the cascade of period doubling and the intermittent transition, are reviewed. This happens in dynamical systems with a few degrees of freedom, as modelled by the iteration of nonlinear maps. Then specific transitions for systems with many degrees of freedom are presented. The occurence of a low frequency broadband noise in large cells at the onset of Rayleigh-Benard convection and the transition by intermittent bursts in parallel flows are considered. In this last case, one is concerned with localized and finite amplitude perturbations. Simple geometric arguments show that these fluctuations, when they are isolated and with a well definite relative speed, exist for a single value of the Reynolds number only.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- June 1981
- Bibcode:
- 1981STIN...8314452P
- Keywords:
-
- Convection;
- Hydrodynamics;
- Turbulence;
- Differential Equations;
- Galerkin Method;
- Mathematical Models;
- Period Doubling;
- Reynolds Number;
- Fluid Mechanics and Heat Transfer