<div class="csl-bib-body">
<div class="csl-entry">Romanò, F., Stojanović, M., & Kuhlmann, H. C. (2024). Scaling and modeling of the heat transfer across the free surface of a thermocapillary liquid bridge. <i>INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW</i>, <i>34</i>(4), 1528–1566. https://doi.org/10.1108/HFF-04-2023-0164</div>
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dc.identifier.issn
0961-5539
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/227510
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dc.description.abstract
Purpose – This paper aims to derive a reduced-order model for the heat transfer across the interface between a millimetric thermocapillary liquid bridge from silicone oil and the surrounding ambient gas. Design/methodology/approach – Numerical solutions for the two-fluid model are computed covering a wide parametric space, making a total of 2,800 numerical flow simulations. Based on the computed data, a reduced single-fluid model for the liquid phase is devised, in which the heat transfer between the liquid and the gas is modeled by Newton’s heat transfer law, albeit with a space-dependent Biot function Bi(z), instead of a constant Biot number Bi. Findings – An explicit robust fit of Bi(z) is obtained covering the whole range of parameters considered. The single-fluid model together with the Biot function derived yields very accurate results at much lesser computational cost than the corresponding two-phase fully-coupled simulation required for the two-fluid model. Practical implications – Using this novel Biot function approach instead of a constant Biot number, the critical Reynolds number can be predicted much more accurately within single-phase linear stability solvers. Originality/value – The Biot function for thermocapillary liquid bridges is derived from the full multiphase problem by a robust multi-stage fit procedure. The derived Biot function reproduces very well the theoretical boundary layer scalings.
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dc.description.sponsorship
FFG - Österr. Forschungsförderungs- gesellschaft mbH
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dc.description.sponsorship
ESA / ESTEC
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dc.language.iso
en
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dc.publisher
EMERALD GROUP PUBLISHING LTD
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dc.relation.ispartof
INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW
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dc.subject
Biot number
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dc.subject
Boundary layer
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dc.subject
Heat transfer
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dc.subject
Liquid bridge
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dc.subject
Multiphase flow
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dc.subject
Multistage polynomial fit
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dc.title
Scaling and modeling of the heat transfer across the free surface of a thermocapillary liquid bridge