Trajectoires chaotiques dans un écoulement de Stokes stationnaire

Abstract : Chaos of trajectories of fluid particles for a stationary Stokes flow within a sphere is considered. The flow is a linear superposition of two flows, the first one being buoyancy-driven and the second one being a solid body rotation. Both flows, alone, would induce closed trajectories. Using Poincaré sections, we study chaos generated by the combination flow for different values of the ratio between the amplitudes of the superimposed flows. We show, although the two flows are topologically merely different, that global chaos is reached for a ratio of the amplitudes of order unity.
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Contributor : Florence Raynal <>
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Carriere_Raynal_CR1995.pdf
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Philippe Carrière, Florence Raynal. Trajectoires chaotiques dans un écoulement de Stokes stationnaire. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, physique, astronomie, Elsevier, 1995, 320 (8), pp.381-386. ⟨http://gallica.bnf.fr/ark:/12148/bpt6k62023114.item⟩. ⟨hal-01349120⟩

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