Reduced model for capillary breakup with thermal gradients: Predictions and computational validation
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Author(s)
Shukla, I.
Wang, F.
Mowlavi, S.
Guyomard, A.
Liang, X.
Johnson, S. G.
Nave, J.-C.
Date Issued
December 2021
Journal
Physics of Fluids
Publisher
AIP Publishing
Citation
Shukla, I., Wang, F., Mowlavi, S., Guyomard, A., Liang, X. et al. 2021. "Reduced model for capillary breakup with thermal gradients: Predictions and computational validation." Physics of Fluids, 33 (12).
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Author's final manuscript
Abstract
It was recently demonstrated that feeding a silicon-in-silica coaxial fiber into a flame—imparting a steep silica viscosity gradient—results in the formation of silicon spheres whose size is controlled by the feed speed [Gumennik et al., “Silicon-in-silica spheres via axial thermal gradient in-fiber capillary instabilities,” Nat. Commun. 4, 2216 (2013)]. A reduced model to predict the droplet size from the feed speed was then derived by Mowlavi et al. [“Particle size selection in capillary instability of locally heated coaxial fiber,” Phys. Rev. Fluids 4, 064003 (2019)], but large experimental uncertainties in the parameter values and temperature profile made quantitative validation of the model impossible. Here, we validate the reduced model against fully resolved three-dimensional axisymmetric Stokes simulations using the exact same physical parameters and temperature profile. We obtain excellent quantitative agreement for a wide range of experimentally relevant feed speeds. Surprisingly, we also observe that the local capillary number at the breakup location remains almost constant across all feed speeds. Owing to its low computational cost, the reduced model is therefore a useful tool for designing future experiments.
Subjects
Condensed Matter Physics
Fluid Flow and Transfer Processes
Mechanics of Materials
Computational Mechanics
Mechanical Engineering
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1063/5.0073625
