Oscillatory convection and chaos in a Lorenz-type model of a rotating fluid
- Univ. of Manchester (England)
A four-mode model of convection in a rotating fluid layer is studied. The model is an extension of the Lorenz model of Rayleigh-Benard convection, the extra mode accounting for the regeneration of vorticity by rotation. Perturbation theory is applied to show that the Hopf bifurcations from conductive and steady convective solutions can be either supercritical or subcritical. Perturbation theory is also used at large Rayleigh numbers r to predict novel behavior. Supercritical oscillatory convection of finite amplitude is found by numerical integration of the governing equations. The general picture is of a series of oscillatory solutions stable over large r intervals, interspersed by short bursts of chaos.
- OSTI ID:
- 6196356
- Journal Information:
- Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 56:5-6; ISSN 0022-4715; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
Similar Records
Asymmetric modes and the transition to vortex structures in rotating Rayleigh-Benard convection
Convection and chaos in fluids
Related Subjects
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COMPUTERIZED SIMULATION
CONVECTION
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
EQUATIONS OF MOTION
FLOW MODELS
FLUID FLOW
FLUID MECHANICS
FLUIDS
HEAT TRANSFER
INSTABILITY
ITERATIVE METHODS
LAMINAR FLOW
MASS TRANSFER
MATHEMATICAL MODELS
MECHANICS
MOTION
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
OSCILLATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PHYSICAL PROPERTIES
ROTATION
RUNGE-KUTTA METHOD
SIMULATION
STATISTICAL MECHANICS
THERMAL CONDUCTION
THERMAL DIFFUSIVITY
THERMODYNAMIC PROPERTIES
TRANSITION FLOW
TURBULENT FLOW
VISCOSITY
VORTEX FLOW