Kraichnan's random sweeping hypothesis in homogeneous turbulent convection

Xiaozhou He; Penger Tong

doi:10.1103/PhysRevE.83.037302

Kraichnan's random sweeping hypothesis in homogeneous turbulent convection

Xiaozhou He^*
, Penger Tong

^*Corresponding author for this work

Hong Kong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

We report an experimental study of the temperature space-time cross-correlation function, C_T(r,τ), in the central region of turbulent Rayleigh-Bénard convection. The measured C_T(r,τ) is found to have the scaling form C_T(r_E,0), where r _E=[r2+(Vτ)2]1^/2 with V being the rms velocity at the center of the convection cell. The experiment confirms the theory by He and demonstrates its applications to homogenous turbulent flows, where the mean flow velocity is zero and Kraichnan's random sweeping hypothesis holds approximately.

Original language	English
Article number	037302
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	83
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.83.037302
State	Published - 24 Mar 2011
Externally published	Yes

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title = "Kraichnan's random sweeping hypothesis in homogeneous turbulent convection",

abstract = "We report an experimental study of the temperature space-time cross-correlation function, CT(r,τ), in the central region of turbulent Rayleigh-B{\'e}nard convection. The measured CT(r,τ) is found to have the scaling form CT(rE,0), where r E=[r2+(Vτ)2]1/2 with V being the rms velocity at the center of the convection cell. The experiment confirms the theory by He and demonstrates its applications to homogenous turbulent flows, where the mean flow velocity is zero and Kraichnan's random sweeping hypothesis holds approximately.",

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doi = "10.1103/PhysRevE.83.037302",

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AU - He, Xiaozhou

AU - Tong, Penger

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Y1 - 2011/3/24

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AB - We report an experimental study of the temperature space-time cross-correlation function, CT(r,τ), in the central region of turbulent Rayleigh-Bénard convection. The measured CT(r,τ) is found to have the scaling form CT(rE,0), where r E=[r2+(Vτ)2]1/2 with V being the rms velocity at the center of the convection cell. The experiment confirms the theory by He and demonstrates its applications to homogenous turbulent flows, where the mean flow velocity is zero and Kraichnan's random sweeping hypothesis holds approximately.

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DO - 10.1103/PhysRevE.83.037302

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 3

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ER -

Kraichnan's random sweeping hypothesis in homogeneous turbulent convection

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