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Nature 398, 294-295 (25 March 1999) | doi:10.1038/18572

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Turbulence:  The elusive 'ultimate state' of thermal convection

Joël Sommeria1

A central dogma in turbulence is that its effects become independent of viscosity when the Reynolds number, which compares flow inertia to viscous damping, is sufficiently large. In thermal convection, this assumption implies that the heat flux becomes proportional to the temperature difference, with an exponent of 1/2, as opposed to the 2/7 usually seen in turbulent convection on the laboratory scale.

  1. Joël Sommeria is in the Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 46 alle dItalie, 69 364 Lyon, France.
    e-mail: Email: sommeria@physique.ens-lyon.fr