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Experiments in Fluids
Published in: Experiments in Fluids 4/2023

01-04-2023 | Letter

Reconstructing temperature fields for thermally-driven flows under quasi-steady state

Authors: Daisuke Noto, Hugo N. Ulloa, Juvenal A. Letelier

Published in: Experiments in Fluids | Issue 4/2023

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Abstract

This letter introduces a method to reconstruct the temperature field of thermally-driven Boussinesq fluid flows. The technique relies on prescribed boundary conditions and a velocity field measured from particle image velocimetry. This information is then plugged into the heat equation to integrate and map the temperature field in space. We demonstrate the method’s skill by applying it to the problem of thermal convection in Hele-Shaw cells under a quasi-steady state. The limitations and strengths of this approach are discussed in the context of thermally-driven flows in laboratory experiments.
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Literature
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Letelier JA, Herrera P, Mujica N, Ortega JH (2016) Enhancement of synthetic schlieren image resolution using total variation optical flow: application to thermal experiments in a Hele-Shaw cell. Exp Fluids. 57(2):1–14CrossRef
Letelier JA, Mujica N, Ortega JH (2019) Perturbative corrections for the scaling of heat transport in a hele-shaw geometry and its application to geological vertical fractures. J Fluid Mech. 864:746–767MathSciNetCrossRefMATH
Sakakibara J, Adrian R (2004) Measurement of temperature field of a Rayleigh-Bénard convection using two-color laser-induced fluorescence. Exp Fluids. 37(3):331–340CrossRef
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Ulloa HN, Letelier JA (2022) Energetics and mixing of thermally driven flows in Hele-Shaw cells. J Fluid Mech. 930
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Metadata
Title
Reconstructing temperature fields for thermally-driven flows under quasi-steady state
Authors
Daisuke Noto
Hugo N. Ulloa
Juvenal A. Letelier
Publication date
01-04-2023
Publisher
Springer Berlin Heidelberg
Published in
Experiments in Fluids / Issue 4/2023
Print ISSN: 0723-4864
Electronic ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-023-03620-z

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