Abstract
We have shown a few examples of regimes of flow observed in a Taylor experiment subjected to an external magnetic induction. This type of experiment allows for showing the links existing between the dynamics of a particular non-linear system and its spatial features. It would be obviously important to be able to specify, more quantitatively, the characteristics of such links.
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This type of information has been widely used in previous experiments (see for instance Phys. Fluids, 24 (1981), 406). It is possible, by using this information, to define a kind of effective viscosity of the system, and study its variations with control parameter I. This study allows for exhibiting the first thresholdof the flow.
Figure 2 is also representative of the values of the thresholds obtained in a preceding experiment (Phys. Rev. Lett. A49, (1982), 460).
The threshold values of the Taylor number corresponding to the onset of stationary cells can be found in the Chandrasekhar's monograph (“Hydrodynamic and Hydromagnetic Stability”, Oxford University, University Press, Oxford, 1961) and also in J. Fluid. Mech., 112, (1981), 329.
RUELLE, D et TAKENS, F. Commun. Math. Phys., 20, (1971), 167.
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© 1984 Springer-Verlag
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Tabeling, P., Trakas, C. (1984). Temporal and spatial aspects of the onset of chaos in a Taylor instability subjected to a magnetic field. In: Wesfreid, J.E., Zaleski, S. (eds) Cellular Structures in Instabilities. Lecture Notes in Physics, vol 210. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13879-X_90
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DOI: https://doi.org/10.1007/3-540-13879-X_90
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