Logarithmic temperature profiles in the ultimate regime of thermal convection

S. Grossmann; Detlef Lohse

doi:10.1063/1.4767540

Logarithmic temperature profiles in the ultimate regime of thermal convection

S. Grossmann, Detlef Lohse

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Abstract

We report on the theory of logarithmic temperature profiles in very strongly developed thermal convection in the geometry of a Rayleigh-Bénard cell with aspect ratio (defined by cell width divided by cell height) Γ = 1, and discuss the degree of agreement with the recently measured profiles in the ultimate state of very large Rayleigh number flow. The parameters of the log-profile are calculated and compared with the measured ones. Their physical interpretation as well as their dependence on the radial position are discussed.

Original language	English
Article number	125103
Pages (from-to)	125103-1-125103-8
Number of pages	8
Journal	Physics of fluids
Volume	24
Issue number	12
DOIs	https://doi.org/10.1063/1.4767540
Publication status	Published - 2012

Keywords

METIS-294859
IR-85134

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10.1063/1.4767540

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title = "Logarithmic temperature profiles in the ultimate regime of thermal convection",

abstract = "We report on the theory of logarithmic temperature profiles in very strongly developed thermal convection in the geometry of a Rayleigh-B{\'e}nard cell with aspect ratio (defined by cell width divided by cell height) Γ = 1, and discuss the degree of agreement with the recently measured profiles in the ultimate state of very large Rayleigh number flow. The parameters of the log-profile are calculated and compared with the measured ones. Their physical interpretation as well as their dependence on the radial position are discussed.",

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AU - Grossmann, S.

AU - Lohse, Detlef

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AB - We report on the theory of logarithmic temperature profiles in very strongly developed thermal convection in the geometry of a Rayleigh-Bénard cell with aspect ratio (defined by cell width divided by cell height) Γ = 1, and discuss the degree of agreement with the recently measured profiles in the ultimate state of very large Rayleigh number flow. The parameters of the log-profile are calculated and compared with the measured ones. Their physical interpretation as well as their dependence on the radial position are discussed.

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KW - IR-85134

U2 - 10.1063/1.4767540

DO - 10.1063/1.4767540

M3 - Article

SN - 1070-6631

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SP - 125103-1-125103-8

JO - Physics of fluids

JF - Physics of fluids

IS - 12

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Logarithmic temperature profiles in the ultimate regime of thermal convection

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Keywords

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