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Pré-Publication, Document De Travail Année : 2024

Universal scaling laws in turbulent Rayleigh-Bénard convection with and without roughness

Résumé

Experimental heat-transfer measurements published in the literature seem to be contradictory, some showing a transition at $Ra \approx 10^{11}$, some showing a delayed transition at higher $Ra$, or no transition at all. New experimental and numerical heat-flux and velocity measurements, both reaching $Ra$ up to \num{e12}, are reported on a wide range of operating conditions. In the new measurements in the rough cell which reaches Rayleigh numbers, $Ra$, up to 2.5e12, the Nusselt number show a clear $Ra^{1/2}$ scaling, hinting a fully turbulent regime. In contrast to the $Nu$ vs $Ra$ relationship, we evidence that the dimensionless heat-flux, expressed as $RaNu$, recovers a universal scaling with Reynolds number, collapses all data and highlights a universal critical Reynolds number.
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Dates et versions

hal-04434081 , version 1 (02-02-2024)
hal-04434081 , version 2 (11-07-2024)

Identifiants

  • HAL Id : hal-04434081 , version 2

Citer

Lyse Brichet, Nathan Carbonneau, Elian Bernard, Romane Braun, Lucas Méthivier, et al.. Universal scaling laws in turbulent Rayleigh-Bénard convection with and without roughness. 2024. ⟨hal-04434081v2⟩
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