Abstract
We discuss briefly some aspects of ‘open flow systems’ in the context of deterministic chaos. This note is mostly a statement of the difficulties in characterizing such flows, especially at high Reynolds numbers, by dynamical systems. Brief comments will be made on the fractal geometry of turbulence.
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References
K.R. Sreenivasan, In ‘Frontiers in Fluid Mechanics’ (eds. S.H. Davis and J.L. Lumley, Springer-Verlag 1985), p.41.
D. Coles, J. Fluid Mech. 21, 385 (1965).
K.R. Sreenivasan & P.J. Strykowski, In ‘Tutbulence and Chaotic Phenomena in Fluids’ (ed. T. Tatsumi, North-Holland 1984), p.191.
F. Takens, In ‘Lecture Notes in Mathematics 898’ (eds. D.A. Rand and L.S. Young, Springer-Verlag 1981), p.366.
R.J. Deissler & K. Kaneko, Submitted to Phys. Rev. Lett. (Sept. 1985).
P. Grassberger & I. Procaccia, Phys. Rev. Lett. 50, 346 (1983).
A. Wolf, J.B. Swift, H.L. Swinney, & J.A. Vastano, Physica 16D, 285 (1985).
C. Constantin, C. Foias, O.P. Manley & R. Temam, J. Fluid Mech. 150, 427 (1985).
K.R. Sreenivasan, R.A. Antonia, & D. Britz, J. Fluid Mech. 94, 745 (1979).
K.R. Sreenivasan, The fractal facets of turbulence, in preparation, 1985.
B. Mandelbrot, The Fractal Geometry of Nature, Freeman and Co., New York, 1982.
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© 1986 Springer-Verlag Berlin Heidelberg
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Sreenivasan, K.R. (1986). Chaos in Open Flow Systems. In: Mayer-Kress, G. (eds) Dimensions and Entropies in Chaotic Systems. Springer Series in Synergetics, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71001-8_26
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DOI: https://doi.org/10.1007/978-3-642-71001-8_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-71003-2
Online ISBN: 978-3-642-71001-8
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