Abstract
In a small box (aspect ratio = 2), a high Prandtl number fluid submitted to Rayleigh-Bénard convection undergoes a cascade of different spatial order, i.e. presents different stable structures when the Rayleigh number is increased. Inside each structure, we observe an evolution of the temporal order, from generally a stationary to a turbulent state, through a small number of bifurcations. Some experimental examples illustrate the properties of these temporal states, in particular Poincaré sections have been drawn in the phase space and have provided new dynamical information.
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Bibliography
P. Bergé, in “Chaos and Order in Nature” Schloss Elmau 1981 ed. by H. Haken (Springer-Verlag) p.14.
P. Bergé, M. Dubois “Scattering techniques applied to supramolecular and nonequilibrium systems” ed. by S.H. Chen, B. Chu-Plenum Press 1981.
P. Bergé, M. Dubois, J. Phys. Lettres 40, L.505, (1979).
E.L. Koschmieder, S.G. Pallas, Int. J. Heat Mass Transfer 17, 991 (1974).
F.H. Busse and J.A. Whitehead, J. Fluid Mech. 47, 305 (1971).
P. Bergé, M. Dubois, P. Manneville, Y. Pomeau, J. Phys. Lettres 41, L341, (1980).
M. Dubois in “Symmetries and Broken Symmetries in condensed matter Physics” edited by N. Boccara (IDSET Paris) 1981.
M. Dubois and P. Bergé, J. de Phys. 42, 167 (1981).
M. Dubois, P. Bergé, V. Croquette, Comptes Rendus Acad? Sci. to be published.
M.I. Rabinovich, Sov. Phys. Usp. 21 (5), 443 (1978).
B.A. Huberman and J.P. Crutchfield, Phys. Rev. Letters 43, 1743 (1979).
J. Maurer and A. Libchaber J. de Phys. Lettres 40, L419 (1979).
J.P. Gollub and S.V. Benson, J. Fluid Mech. 100, 4119 (1980).
M. Giglio, S. Musazzi and U. Perini, to be published.
J.B. Mc Laughin, J. of Stat. Physics 24, 375 (1981).
M.J. Feigenbaum, Phys. Letters 74A, 375 (1979).
J.C. Roux, A. Rossi, S. Bachelart and C. Vidal, Physics Letters 77A, 391 (1980).
B. Malraison, P. Atten, Comptes Rendus Acad. Sci. 292, 267 (1981).
V. Croquette, C. Poitou, Comptes Rendus Acad. Sci. 292, 1353 (1981).
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Dubois, M. (1982). Experimental aspects of the transition to turbulence in Rayleigh-Bénard convection. In: Casas-Vázquez, J., Lebon, G. (eds) Stability of Thermodynamics Systems. Lecture Notes in Physics, vol 164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11581-1_6
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DOI: https://doi.org/10.1007/3-540-11581-1_6
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