### Abstract

Turbulent convection occurs when the Rayleigh number (Ra) - which quantifies the relative magnitude of thermal driving to dissipative forces in the fluid motion - becomes sufficiently high. Although many theoretical and experimental studies of turbulent convection exist, the basic properties of heat transport remain unclear. One important question concerns the existence of an asymptotic regime that is supposed to occur at very high Ra. Theory predicts that in such a state the Nusselt number (Nu), representing the global heat transport, should scale as Nu ∞ Ra(β) with β = 1/2. Here we investigate thermal transport over eleven orders of magnitude of the Rayleigh number (10^{6} ≤ Ra ≤ 10^{7}), using cryogenic helium gas as the working fluid. Our data, over the entire range of Ra, can be described to the lowest order by a single power-law with scaling exponent β close to 0.31. In particular, we find no evidence for a transition to the Ra(1/2) regime. We also study the variation of internal temperature fluctuations with Ra, and probe velocity statistics indirectly.

Original language | English (US) |
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Pages (from-to) | 837-840 |

Number of pages | 4 |

Journal | Nature |

Volume | 404 |

Issue number | 6780 |

DOIs | |

State | Published - Apr 20 2000 |

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### ASJC Scopus subject areas

- General

### Cite this

*Nature*,

*404*(6780), 837-840. https://doi.org/10.1038/35009036

**Turbulent convection at very high Rayleigh numbers.** / Niemela, J. J.; Skrbek, L.; Sreenivasan, K. R.; Donnelly, R. J.

Research output: Contribution to journal › Article

*Nature*, vol. 404, no. 6780, pp. 837-840. https://doi.org/10.1038/35009036

}

TY - JOUR

T1 - Turbulent convection at very high Rayleigh numbers

AU - Niemela, J. J.

AU - Skrbek, L.

AU - Sreenivasan, K. R.

AU - Donnelly, R. J.

PY - 2000/4/20

Y1 - 2000/4/20

N2 - Turbulent convection occurs when the Rayleigh number (Ra) - which quantifies the relative magnitude of thermal driving to dissipative forces in the fluid motion - becomes sufficiently high. Although many theoretical and experimental studies of turbulent convection exist, the basic properties of heat transport remain unclear. One important question concerns the existence of an asymptotic regime that is supposed to occur at very high Ra. Theory predicts that in such a state the Nusselt number (Nu), representing the global heat transport, should scale as Nu ∞ Ra(β) with β = 1/2. Here we investigate thermal transport over eleven orders of magnitude of the Rayleigh number (106 ≤ Ra ≤ 107), using cryogenic helium gas as the working fluid. Our data, over the entire range of Ra, can be described to the lowest order by a single power-law with scaling exponent β close to 0.31. In particular, we find no evidence for a transition to the Ra(1/2) regime. We also study the variation of internal temperature fluctuations with Ra, and probe velocity statistics indirectly.

AB - Turbulent convection occurs when the Rayleigh number (Ra) - which quantifies the relative magnitude of thermal driving to dissipative forces in the fluid motion - becomes sufficiently high. Although many theoretical and experimental studies of turbulent convection exist, the basic properties of heat transport remain unclear. One important question concerns the existence of an asymptotic regime that is supposed to occur at very high Ra. Theory predicts that in such a state the Nusselt number (Nu), representing the global heat transport, should scale as Nu ∞ Ra(β) with β = 1/2. Here we investigate thermal transport over eleven orders of magnitude of the Rayleigh number (106 ≤ Ra ≤ 107), using cryogenic helium gas as the working fluid. Our data, over the entire range of Ra, can be described to the lowest order by a single power-law with scaling exponent β close to 0.31. In particular, we find no evidence for a transition to the Ra(1/2) regime. We also study the variation of internal temperature fluctuations with Ra, and probe velocity statistics indirectly.

UR - http://www.scopus.com/inward/record.url?scp=0034690061&partnerID=8YFLogxK

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U2 - 10.1038/35009036

DO - 10.1038/35009036

M3 - Article

VL - 404

SP - 837

EP - 840

JO - Nature

JF - Nature

SN - 0028-0836

IS - 6780

ER -