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Received April 21, 2020
Accepted August 5, 2020
- This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Direct numerical simulation of microbubble streaming in a microfluidic device: The effect of the bubble protrusion depth on the vortex pattern
1The Department of Chemical and Biochemical Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA 2The Department of Chemical and Biomolecular Engineering, Vanderbilt University, Nashville, TN 37212, USA 3The Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, MO 65409, USA 4The Biomedical, Biological and Chemical Engineering Department, University of Missouri, Columbia, MO 65211, USA
wancheng@mst.edu
Korean Journal of Chemical Engineering, December 2020, 37(12), 2117-2123(7), 10.1007/s11814-020-0656-5
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Abstract
Microbubble streaming in a microfluidic device has been increasingly studied and used in recent years, due to its unique flow pattern that can promote mixing, sort particles and trap particles in microscale flows. However, there have been few numerical studies of this subject. We performed a 3D direct simulation of a cylindrical-shaped microbubble, trapped in a pit of a microchannel and sandwiched between two parallel plates, vibrated by pressure oscillation. Our simulation was able to reproduce the experimentally observed relation between the bubble protrusion depth and the vortex pattern: As the bubble protrusion depth increased, new vortices emerged and grew larger. Our investigation of the streamlines near the bubble interface indicates that the number of non-spherical nodes in the bubble interface is closely related to the flow pattern in the liquid phase. It was also validated by our simulation that the flow velocity showed an exponentially decaying trend as the radial distance outward from the vortex center. Our numerical model was also used to investigate the effects of surface tension and channel size on the vortex pattern. Larger surface tension or smaller channel size showed a similar effect as the increased protrusion depth induced more vortices.
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References
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Doinikov AA, Cleve S, Regnault G, Mauger C, Inserra C, Phys. Rev. E, 100, 33104 (2019)
Wang C, Rallabandi B, Hilgenfeldt S, Phys. Fluids, 25, 22002 (2013)
Rallabandi B, Wang C, Hilgenfeldt S, J. Fluid Mech., 739, 57 (2014)
Volk A, Rossi M, Kahler CJ, Hilgenfeldt S, Marin A, Lab Chip, 15, 4607 (2015)
Volk A, Kahler CJ, Phys. Rev. Appl., 9, 54015 (2018)
Jasak H, Jemcov A, Tukovic Z, in International Workshop on Coupled Methods in Numerical Dynamics, 1000, 1 (2007).
Hoang DA, van Steijn V, Portela LM, Kreutzer MT, Kleijn CR, Comput. Fluids, 86, 28 (2013)
Deshpande SS, Anumolu L, Trujillo MF, Comput. Sci. Discov., 5, 14016 (2012)
Behdani B, Senter M, Mason L, Leu M, Park J, J. Manuf. Mater. Process., 4, 46 (2020)
Wang C, Microbubble streaming flows for non-invasive particle manipulation and liquid mixing, USA (2014).
Marin A, Rossi M, Rallabandi B, Wang C, Hilgenfeldt S, Kahler CJ, Phys. Rev. Appl., 3, 41001 (2015)
Doinikov AA, Bouakaz A, J. Fluid Mech., 742, 425 (2014)
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Ma P, Fu T, Zhu C, Ma Y, Korean J. Chem. Eng., 36(1), 21 (2019)
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Jeong HH, Issadore D, Lee D, Korean J. Chem. Eng., 33(6), 1757 (2016)