Abstract
The transition to turbulence by a sequence of instabilities, although extensively studied both theoretically and experimentally,1 is not well understood at this time. In particular, it is not known whether there are some features of the process that are universal, in the sense of characterizing the onset of turbulence in all systems that show a sequence of instabilities. (We exclude from consideration those situations in which turbulence occurs catastrophically with no intermediate periodic states, such as boundary layers and pipe flow.) Unfortunately, the term “turbulence” implies different degrees of disorder to different workers, and this ambiguity interferes with the possibility of making clear distinctions between turbulent and non-turbulent regimes. Consequently, we concentrate on a well-defined problem, namely the onset of aperiodic motion, which can be detected by the absence of sharp peaks in the power spectrum of the velocity field, or by the decay of the autocorrelation function of the velocity field.
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Gollub, J.P., Hulbert, S.L., Dolny, G.M., Swinney, H.L. (1977). Laser Doppler Study of the Onset of Turbulent Convection at Low Prandtl Number. In: Cummins, H.Z., Pike, E.R. (eds) Photon Correlation Spectroscopy and Velocimetry. Nato Advanced Study Institutes Series, vol 23. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1668-9_12
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DOI: https://doi.org/10.1007/978-1-4757-1668-9_12
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