Temperature fluctuations in a convection cell with rough upper and lower surfaces

Y.-B. Du and P. Tong
Phys. Rev. E 63, 046303 – Published 22 March 2001
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Abstract

A turbulent convection experiment is conducted in a cell with rough upper and lower surfaces. Temperature statistics, frequency power spectrum, and thermal dissipation are measured over varying Rayleigh numbers in the central region of the cell. The temperature histogram in the rough cell is found to have the same exponential shape as that in the smooth cell, but the width of the distribution is increased by ∼25%. The measured power spectrum shows that temperature fluctuations in the rough cell are increased uniformly across the whole frequency range. The cutoff frequency fc of the power spectrum and the time averaged square temperature time derivative (T/t)2 are used to characterize the thermal dissipation in turbulent convection. It is found that the normalized fc as well as (T/t)2 in the smooth and rough cells with different aspect ratios can all be superposed onto a single curve, indicating that the thermal dissipation in these cells is determined by the same mechanism. The experiment suggests that the enhanced heat transport observed in the rough cell is determined primarily by the local dynamics near the upper and lower boundaries.

    DOI:https://doi.org/10.1103/PhysRevE.63.046303

    ©2001 American Physical Society

    Authors & Affiliations

    Y.-B. Du and P. Tong*

    • Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078

    • *Email address: ptong@okstate.edu

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    Issue

    Vol. 63, Iss. 4 — April 2001

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