3D modeling of acoustofluidics in a liquid-filled cavity including streaming, viscous boundary layers, surrounding solids, and a piezoelectric transducer

Nils R. Skov; Jacob S. Bach; Bjørn G. Winckelmann; Henrik Bruus; Nils R. Skov; Jacob S. Bach; Bjørn G. Winckelmann; Henrik Bruus

doi:10.3934/Math.2019.1.99

AIMS Mathematics

2019, Volume 4, Issue 1: 99-111. doi: 10.3934/Math.2019.1.99

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Research article Topical Sections

3D modeling of acoustofluidics in a liquid-filled cavity including streaming, viscous boundary layers, surrounding solids, and a piezoelectric transducer

Department of Physics, Technical University of Denmark, DTU Physics Building 309, DK-2800 Kongens Lyngby, Denmark

Received: 29 December 2019 Accepted: 26 February 2019 Published: 30 January 2019
MSC : 42B37, 65M60, 70J35, 74F10

We present a full 3D numerical simulation of the acoustic streaming observed in full-image micro-particle velocimetry by Hagsäter et al., Lab Chip 7, 1336 (2007) in a 2 mm by 2 mm by 0.2 mm microcavity embedded in a 49 mm by 15 mm by 2 mm chip excited by 2-MHz ultrasound. The model takes into account the piezo-electric transducer, the silicon base with the water-filled cavity, the viscous boundary layers in the water, and the Pyrex lid. The model predicts well the experimental results.
- microscale acoustofluidics,
- acoustic streaming,
- numerical simulation,
- 3D modeling
Citation: Nils R. Skov, Jacob S. Bach, Bjørn G. Winckelmann, Henrik Bruus. 3D modeling of acoustofluidics in a liquid-filled cavity including streaming, viscous boundary layers, surrounding solids, and a piezoelectric transducer[J]. AIMS Mathematics, 2019, 4(1): 99-111. doi: 10.3934/Math.2019.1.99

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Abstract

We present a full 3D numerical simulation of the acoustic streaming observed in full-image micro-particle velocimetry by Hagsäter et al., Lab Chip 7, 1336 (2007) in a 2 mm by 2 mm by 0.2 mm microcavity embedded in a 49 mm by 15 mm by 2 mm chip excited by 2-MHz ultrasound. The model takes into account the piezo-electric transducer, the silicon base with the water-filled cavity, the viscous boundary layers in the water, and the Pyrex lid. The model predicts well the experimental results.

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