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Kraichnan’s random sweeping hypothesis in homogeneous turbulent convection

Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Phys. Rev. E 83, 037302 – Published 24 March, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.037302

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 $r_{E} = [r^{2} + (V τ)^{2}]^{1 / 2}$ with $V$ being the rms velocity at the center of the convection cell. The experiment confirms the theory by He et al. [Phys. Rev. E 73, 055303(R) (2006)] 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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References (19)

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Kraichnan’s random sweeping hypothesis in homogeneous turbulent convection

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