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Dynamics and length scales in vertical convection of liquid metals

Zwirner, L.; S. Emran, M.; Schindler, F.; Singh, S.; Eckert, S.; Vogt, T.; Shishkina, O.

Using complementary experiments and direct numerical simulations, we study turbulent thermal convection of a liquid metal (Prandtl number Pr≈0.03) in a box-shaped container, where two opposite square sidewalls are heated/cooled. The global response characteristics like the Nusselt number Nu and the Reynolds number Re collapse if the side height 𝐿 is used as the length scale rather than the distance 𝐻 between heated and cooled vertical plates. These results are obtained for various Rayleigh numbers 5×103≤Ra𝐻≤108 (based on 𝐻) and the aspect ratios 𝐿/𝐻=1,2,3 and 5. Furthermore, we present a novel method to extract the wind-based Reynolds number, which works particularly well with the experimental Doppler-velocimetry measurements along vertical lines, regardless of their horizontal positions. The extraction method is based on the two-dimensional autocorrelation of the time–space data of the vertical velocity.

Keywords: Convection in cavities

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Permalink: https://www.hzdr.de/publications/Publ-34106
Publ.-Id: 34106