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On the influence of viscosity and caustics on acoustic streaming in sessile droplets: an experimental and a numerical study with a cost-effective method

Published online by Cambridge University Press:  25 May 2017

A. Riaud Open the ORCID record for A. Riaud [Opens in a new window] ,
M. Baudoin ,
O. Bou Matar ,
J.-L. Thomas  and
P. Brunet
A. Riaud
Affiliation:
Univ. Lille, CNRS, Centrale Lille, ISEN, Univ. Valenciennes, UMR 8520, International Laboratory LEMAC/LICS - IEMN, F-59000 Lille, France Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7588, Institut des NanoSciences de Paris, 4 place Jussieu, 75005 Paris, France
M. Baudoin*
Affiliation:
Univ. Lille, CNRS, Centrale Lille, ISEN, Univ. Valenciennes, UMR 8520, International Laboratory LEMAC/LICS - IEMN, F-59000 Lille, France
O. Bou Matar
Affiliation:
Univ. Lille, CNRS, Centrale Lille, ISEN, Univ. Valenciennes, UMR 8520, International Laboratory LEMAC/LICS - IEMN, F-59000 Lille, France
J.-L. Thomas
Affiliation:
Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7588, Institut des NanoSciences de Paris, 4 place Jussieu, 75005 Paris, France
P. Brunet
Affiliation:
Laboratoire Matière et Systèmes Complexes, UMR CNRS 7057, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, 75205 Paris CEDEX 13, France
*
†Email address for correspondence: michael.baudoin@univ-lille1.fr
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Abstract

When an acoustic wave travels in a lossy medium such as a liquid, it progressively transfers its pseudo-momentum to the fluid, which results in a steady flow called acoustic streaming. This phenomenon involves a balance between sound attenuation and shear, such that the streaming flow does not vanish in the limit of vanishing viscosity. Hence, the effect of viscosity has long been ignored in acoustic streaming experiments. Here, we investigate the acoustic streaming in sessile droplets exposed to surface acoustic waves. According to experimental data, the flow structure and velocity magnitude are both strongly influenced by the fluid viscosity. We compute the sound wave propagation and hydrodynamic flow motion using a numerical method that reduces memory requirements via a spatial filtering of the acoustic streaming momentum source terms. These calculations agree qualitatively well with experiments and reveal how the acoustic field in the droplet, which is dominated by a few caustics, controls the flow pattern. We evidence that chaotic acoustic fields in droplets are dominated by a few caustics. It appears that the caustics drive the flow, which allows for qualitative prediction of the flow structure. Finally, we apply our numerical method to a broader span of fluids and frequencies. We show that the canonical case of the acoustic streaming in a hemispherical sessile droplet resting on a lithium niobate substrate only depends on two dimensionless numbers related to the surface and bulk wave attenuation. Even in such a baseline configuration, we observe and characterize four distinct flow regimes.

JFM classification

Acoustics: Acoustics Mathematical Foundations: Mathematical Foundations Micro-/Nano-fluid dynamics: Microfluidics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 821 , 25 June 2017 , pp. 384 - 420
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Copyright
© 2017 Cambridge University Press 

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