Digital twin of a large-aspect-ratio Rayleigh-Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties

Abstract

Albeit laboratory experiments and numerical simulations have proven themselves successful in enhancing our understanding of long-living large-scale flow structures in horizontally extended Rayleigh B nard convection, some discrepancies with respect to their size and induced heat transfer remain. This study traces these discrepancies back to their origins. We start by generating a digital twin of one standard experimental set-up. This twin is subsequently simplified in steps to understand the effect of non-ideal thermal boundary conditions, and the experimental measurement procedure is mimicked using numerical data. Although this allows for explaining the increased observed size of the flow structures in the experiment relative to past numerical simulations, our data suggests that the vertical velocity magnitude has been underestimated in the experiments. A subsequent reassessment of the latter s original data reveals an incorrect calibration model. The reprocessed data show a relative increase in uz of roughly 24 %, resolving the previously observed discrepancies. This digital twin of a laboratory experiment for thermal convection at Rayleigh numbers Ra = {2, 4, 7} × 105, a Prandtl number Pr = 7.1 and an aspect ratio λ = 25 highlights the role of different thermal boundary conditions as well as a reliable calibration and measurement procedure.