Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties
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–Bénard convection, some discrepancies with respect to their size and induced heat transfer remain. Thi...
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| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Flow |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2633425924000357/type/journal_article |
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| author | Philipp P. Vieweg Theo Käufer Christian Cierpka Jörg Schumacher |
| author_facet | Philipp P. Vieweg Theo Käufer Christian Cierpka Jörg Schumacher |
| author_sort | Philipp P. Vieweg |
| collection | DOAJ |
| description | 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–Bénard 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 $u_{z}$ of roughly $24\,\%$, resolving the previously observed discrepancies. This digital twin of a laboratory experiment for thermal convection at Rayleigh numbers $Ra = \{ 2, 4, 7 \} \times 10^{5}$, a Prandtl number $Pr = 7.1$ and an aspect ratio $\varGamma = 25$ highlights the role of different thermal boundary conditions as well as a reliable calibration and measurement procedure. |
| format | Article |
| id | doaj-art-5febd0fd80a44e5a988f6a5c2c79cc00 |
| institution | Kabale University |
| issn | 2633-4259 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Flow |
| spelling | doaj-art-5febd0fd80a44e5a988f6a5c2c79cc002025-02-10T12:02:23ZengCambridge University PressFlow2633-42592025-01-01510.1017/flo.2024.35Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertaintiesPhilipp P. Vieweg0https://orcid.org/0000-0001-7628-9902Theo Käufer1https://orcid.org/0000-0001-7121-8291Christian Cierpka2https://orcid.org/0000-0002-8464-5513Jörg Schumacher3https://orcid.org/0000-0002-1359-4536Department of Applied Mathematics and Theoretical Physics, Wilberforce Road, Cambridge CB3 0WA, UK Institute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, GermanyInstitute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, GermanyInstitute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, GermanyInstitute of Thermodynamics and Fluid Mechanics, Technische Universität Ilmenau, Postfach 100565, 98684 Ilmenau, Germany Tandon School of Engineering, New York University, New York, NY 11021, USAAlbeit laboratory experiments and numerical simulations have proven themselves successful in enhancing our understanding of long-living large-scale flow structures in horizontally extended Rayleigh–Bénard 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 $u_{z}$ of roughly $24\,\%$, resolving the previously observed discrepancies. This digital twin of a laboratory experiment for thermal convection at Rayleigh numbers $Ra = \{ 2, 4, 7 \} \times 10^{5}$, a Prandtl number $Pr = 7.1$ and an aspect ratio $\varGamma = 25$ highlights the role of different thermal boundary conditions as well as a reliable calibration and measurement procedure.https://www.cambridge.org/core/product/identifier/S2633425924000357/type/journal_articleRayleigh–Bénard convectionnumerical simulationlaboratory experimentthermal boundary conditions |
| spellingShingle | Philipp P. Vieweg Theo Käufer Christian Cierpka Jörg Schumacher Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties Flow Rayleigh–Bénard convection numerical simulation laboratory experiment thermal boundary conditions |
| title | Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties |
| title_full | Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties |
| title_fullStr | Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties |
| title_full_unstemmed | Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties |
| title_short | Digital twin of a large-aspect-ratio Rayleigh–Bénard experiment: role of thermal boundary conditions, measurement errors and uncertainties |
| title_sort | digital twin of a large aspect ratio rayleigh benard experiment role of thermal boundary conditions measurement errors and uncertainties |
| topic | Rayleigh–Bénard convection numerical simulation laboratory experiment thermal boundary conditions |
| url | https://www.cambridge.org/core/product/identifier/S2633425924000357/type/journal_article |
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