Chaotic behaviour in a non-linear system - Turbulence in Rayleigh Benard convection
Abstract
Theoretical models of chaotic behavior in nonlinear dynamic systems are described, and their applicability to the turbulent motion of a confined convective fluid (Rayleigh-Benard convection, RBC) is investigated analytically. Topics discussed include low-DOF dissipative dynamical systems, the simplest attractors and their Poincare section, periodic versus chaotic regimes, the geometry of a chaotic attractor, the onset of instability in RBC experiments, and techniques for measuring the dimension of an experimental attractor. It is concluded that the transition to turbulence in hydrodynamic systems (such as RBC) where spatial order is maintained can be described in terms of the appearance of a low-dimension strange attractor.
- Publication:
-
Advances in Turbulence
- Pub Date:
- 1987
- Bibcode:
- 1987adtu.proc...56B
- Keywords:
-
- Chaos;
- Convective Flow;
- Nonlinear Systems;
- Rayleigh-Benard Convection;
- Turbulent Flow;
- Differential Equations;
- Dynamical Systems;
- Nonlinear Equations;
- Strange Attractors;
- Fluid Mechanics and Heat Transfer