TY - JOUR
T1 - Bubble-mediated transfer of dilute gas in turbulence
AU - Farsoiya, Palas Kumar
AU - Popinet, Stéphane
AU - Deike, Luc
N1 - Funding Information:
This work was supported by the NSF CAREER award 1844932, the Catalysis Initiative at Princeton and the Cooperative Institute for Modeling the Earth System (CIMES) between Princeton and NOAA-GFDL. We would like to acknowledge high-performance computing support from Tiger, Princeton research computing and Cheyenne (doi:10.5065/D6RX99HX) provided by NCAR's Computational and Information Systems Laboratory, sponsored by the National Science Foundation.
Publisher Copyright:
© The Author(s), 2021. Published by Cambridge University Press.
PY - 2021
Y1 - 2021
N2 - Bubble-mediated gas exchange in turbulent flow is critical in bubble column chemical reactors as well as for ocean-atmosphere gas exchange related to air entrained by breaking waves. Understanding the transfer rate from a single bubble in turbulence at large Péclet numbers (defined as the ratio between the rate of advection and diffusion of gas) is important as it can be used for improving models on a larger scale. We characterize the mass transfer of dilute gases from a single bubble in a homogeneous isotropic turbulent flow in the limit of negligible bubble volume variations. We show that the mass transfer occurs within a thin diffusive boundary layer at the bubble-liquid interface, whose thickness decreases with an increase in turbulent Péclet number,. We propose a suitable time scale for Higbie (Trans. AIChE, vol. 31, 1935, pp. 365-389) penetration theory, based on the bubble diameter and a characteristic turbulent velocity, here, where is the large-scale turbulence fluctuations. This leads to a non-dimensional transfer rate from the bubble in the isotropic turbulent flow. The theoretical prediction is verified by direct numerical simulations of mass transfer of dilute gas from a bubble in homogeneous and isotropic turbulence, and very good agreement is observed as long as the thin boundary layer is properly resolved.
AB - Bubble-mediated gas exchange in turbulent flow is critical in bubble column chemical reactors as well as for ocean-atmosphere gas exchange related to air entrained by breaking waves. Understanding the transfer rate from a single bubble in turbulence at large Péclet numbers (defined as the ratio between the rate of advection and diffusion of gas) is important as it can be used for improving models on a larger scale. We characterize the mass transfer of dilute gases from a single bubble in a homogeneous isotropic turbulent flow in the limit of negligible bubble volume variations. We show that the mass transfer occurs within a thin diffusive boundary layer at the bubble-liquid interface, whose thickness decreases with an increase in turbulent Péclet number,. We propose a suitable time scale for Higbie (Trans. AIChE, vol. 31, 1935, pp. 365-389) penetration theory, based on the bubble diameter and a characteristic turbulent velocity, here, where is the large-scale turbulence fluctuations. This leads to a non-dimensional transfer rate from the bubble in the isotropic turbulent flow. The theoretical prediction is verified by direct numerical simulations of mass transfer of dilute gas from a bubble in homogeneous and isotropic turbulence, and very good agreement is observed as long as the thin boundary layer is properly resolved.
KW - bubble dynamics
KW - coupled diffusion and flow
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U2 - 10.1017/jfm.2021.447
DO - 10.1017/jfm.2021.447
M3 - Article
AN - SCOPUS:85107978179
SN - 0022-1120
VL - 920
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
M1 - A34
ER -