Phase Locking in the Oscillations Leading to Turbulence
The transition to turbulence often occurs through one or more hydrodynamic instabilities, each characterized by the onset of a qualitatively distinct type of time dependence as a dimensionless parameter is varied. These phenomena have been studied in several different hydrodynamic systems, including circular Couette flow [1,2] and Rayleigh-Bénard convection[3–6]. The first appearance of time dependence often is a well-defined periodic oscillation. The mathematical techniques of nonlinear stability analysis have been used to predict the onset of oscillations, with some success . However, these methods do not appear to be useful for predicting the onset or nature of more complex time-dependent phenomena, including nonperiodic motion.
KeywordsPrandtl Number Rayleigh Number Broadband Noise Hydrodynamic System Steady State Amplitude
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