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Time-dependent rayleigh-benard convection in low prandtl number fluids

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Macroscopic Modelling of Turbulent Flows

Part of the book series: Lecture Notes in Physics ((LNP,volume 230))

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Abstract

We present three-dimensional numerical simulations of time-dependent convection in low Prandtl number fluids confined between two infinite horizontal bounding surfaces maintained at constant temperatures. We consider the case of free slip boundary con ditions for a fluid of Prandtl number Pr = 0.2 and that of nonslip boundary conditions for a fluid with Px = 0.025. In the former situation, we observe stationary, periodic, bi-periodic and chaotic regimes as the Rayleigh number is increased. In the latter situation, the characteristic times have different orders of magnitude and the transients have a long persistence. The first bifurcations to oscillatory regimes are obtained in this case.

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Authors and Affiliations

  1. CEA, CNRS and Service d'Astrophysique, Saclay, France

    M. Meneguzzi

  2. Dept. of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel

    C. Sulem

  3. CNRS, University de Nice, France

    C. Sulem

  4. School of Mathematics, Tel Aviv University, Israel

    P.L. Sulem

  5. CNRS, Observatoire de Nice, France

    P.L. Sulem

  6. Centre National de Recherches Météorologiques, Toulouse-Mirail, France

    O. Thual

Authors
  1. M. Meneguzzi
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  2. C. Sulem
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  3. P.L. Sulem
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  4. O. Thual
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Editor information

Uriel Frisch Joseph B. Keller George C. Papanicolaou Olivier Pironneau

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© 1985 Springer-Verlag

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Meneguzzi, M., Sulem, C., Sulem, P., Thual, O. (1985). Time-dependent rayleigh-benard convection in low prandtl number fluids. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_12

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  • DOI: https://doi.org/10.1007/3-540-15644-5_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15644-4

  • Online ISBN: 978-3-540-39520-1

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