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On the dynamics of air bubbles in Rayleigh–Bénard convection

Published online by Cambridge University Press:  18 March 2020

Jin-Tae Kim ,
Jaewook Nam ,
Shikun Shen ,
Changhoon Lee Open the ORCID record for Changhoon Lee [Opens in a new window]  and
Leonardo P. Chamorro Open the ORCID record for Leonardo P. Chamorro [Opens in a new window]
Jin-Tae Kim
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL61801, USA
Jaewook Nam
Affiliation:
Department of Computational Science and Engineering, Yonsei University, Seoul03722, Korea
Shikun Shen
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL61801, USA
Changhoon Lee
Affiliation:
Department of Computational Science and Engineering, Yonsei University, Seoul03722, Korea Department of Mechanical Engineering, Yonsei University, Seoul03722, Korea
Leonardo P. Chamorro*
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL61801, USA Department of Civil and Environmental Engineering, University of Illinois, Urbana, IL61801, USA Department of Aerospace Engineering, University of Illinois, Urbana, IL61801, USA
*
†Email address for correspondence: lpchamo@illinois.edu
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Abstract

The dynamics of air bubbles in turbulent Rayleigh–Bénard (RB) convection is described for the first time using laboratory experiments and complementary numerical simulations. We performed experiments at $Ra=5.5\times 10^{9}$ and $1.1\times 10^{10}$, where streams of 1 mm bubbles were released at various locations from the bottom of the tank along the path of the roll structure. Using three-dimensional particle tracking velocimetry, we simultaneously tracked a large number of bubbles to inspect the pair dispersion, $R^{2}(t)$, for a range of initial separations, $r$, spanning one order of magnitude, namely $25\unicode[STIX]{x1D702}\leqslant r\leqslant 225\unicode[STIX]{x1D702}$; here $\unicode[STIX]{x1D702}$ is the local Kolmogorov length scale. Pair dispersion, $R^{2}(t)$, of the bubbles within a quiescent medium was also determined to assess the effect of inhomogeneity and anisotropy induced by the RB convection. Results show that $R^{2}(t)$ underwent a transition phase similar to the ballistic-to-diffusive ($t^{2}$-to-$t^{1}$) regime in the vicinity of the cell centre; it approached a bulk behavior $t^{3/2}$ in the diffusive regime as the distance away from the cell centre increased. At small $r$, $R^{2}(t)\propto t^{1}$ is shown in the diffusive regime with a lower magnitude compared to the quiescent case, indicating that the convective turbulence reduced the amplitude of the bubble’s fluctuations. This phenomenon associated to the bubble path instability was further explored by the autocorrelation of the bubble’s horizontal velocity. At large initial separations, $R^{2}(t)\propto t^{2}$ was observed, showing the effect of the roll structure.

JFM classification

Drops and Bubbles: Bubble dynamics Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 891 , 25 May 2020 , A7
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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