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Published on: February 13, 2018
Breakdown of wind in turbulent thermal convection
Ronald du Puits1, Christian Resagk, André Thess
1Ilmenau University of Technology, Department of Mechanical Engineering, P.O. Box 100565, 98684 Ilmenau, Germany.
Abstract:
We report experiments on turbulent Rayleigh-Bénard convection of air in a cylindrical large-scale facility with a diameter of 7 meters and Rayleigh numbers up to Ra approximately 10(12). The facility is used to explore the structure of the large-scale circulation for continuously varying aspect ratios between Gamma approximately 1 and Gamma approximately 10. Using autocorrelation functions derived from high-resolution time series of temperature and velocity near the cooling plate we demonstrate that the well-known single-roll structure (often called "wind") breaks down when the aspect ratio increases beyond the critical value Gamma(1) = 1.68+/-0.22. We further show that at Gamma(2) = 3.66+/-0.46 a second transition from an oscillatory two-roll structure to an unstable multi-roll structure takes place. The value of Gamma(2) represents a lower bound for the aspect ratio that is necessary to reach homogeneous convection--a turbulent state that is free from the influence of lateral walls.
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