|
SR13 Mecānica dos Fluidos |
|
Titulo:
|
LAMINAR-TURBULENT TRANSITION: A THEORETICAL MODEL OF THE NONLINEAR EVOLUTION OF THREE DIMENSIONAL WAVETRAINS IN BOUNDARY LAYERS
|
|
Resumo :
|
SUMMARY. A WEAKLY NONLINEAR MODEL OF THE EVOLUTION OF THREE-DIMENSIONAL WAVETRAINS IN BOUNDARY LAYERS IS PRESENTED. THIS WAS MOTIVATED BY WIND-TUNNEL EXPERIMENTS WITH WAVETRAINS EMANATING FROM A POINT SOURCE. THE EXPERIMENTS SHOWED THAT THE FIRST SIGNATURE OF THE NONLINEARITY WAS THE APPEARANCE OF SECONDARY MEAN FLOW DISTORTIONS. THE DISTORTIONS WERE IN THE FORM OF LONGITUDINAL STREAKS WITH A SPANWISE STRUCTURE WHICH INCREASED IN COMPLEXITY WITH DOWNSTREAM EVOLUTION. THE MODEL LINKED THE STREAKS WITH A PAIRS OF COUNTER-ROTATING LONGITUDINAL VORTICES THAT DISTORT THE BASE MEAN FLOW BY A LIFT UP MECHANISM OF REDISTRIBUTION OF STREAMWISE MOMENTUM. THE MORE COMPLICATED STRUCTURES DEVELOPED FURTHER DOWNSTREAM ARE ALSO ADDRESSED. THEY ARE EXPLAINED BY A SECOND ORDER CORRECTION TO THE WEAKLY NONLINEAR MODEL. THE RESULTS SHOW QUALITATIVE AGREEMENT WITH THE EXPERIMENTAL OBSERVATIONS.
KEY-WORDS: HYDRODYNAMIC INSTABILITY, LAMINAR-TURBULENT TRANSITION, BOUNDARY LAYERS, WEAKLY NONLINEAR THEORY, PERTURBATION METHODS. |
|
Autores :
|
Faraco de Medeiros, Marcello Augusto
|
|
Trabalho Completo :
|
|