Nonlinear hydrodynamic effects induced by Rayleigh surface acoustic wave in sessile droplets

Alghane, M., Chen, B. X., Fu, Y. Q., Li, Y., Desmulliez, M. P. Y., Mohammed, M. I. and Walton, A. J. 2012, Nonlinear hydrodynamic effects induced by Rayleigh surface acoustic wave in sessile droplets, Physical review e, vol. 86, no. 5, pp. 1-6, doi: 10.1103/PhysRevE.86.056304.

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Title Nonlinear hydrodynamic effects induced by Rayleigh surface acoustic wave in sessile droplets
Author(s) Alghane, M.
Chen, B. X.
Fu, Y. Q.
Li, Y.
Desmulliez, M. P. Y.
Mohammed, M. I.ORCID iD for Mohammed, M. I.
Walton, A. J.
Journal name Physical review e
Volume number 86
Issue number 5
Article ID 056304
Start page 1
End page 6
Total pages 6
Publisher American Physical Society
Place of publication College Park, Md.
Publication date 2012-11-09
ISSN 1539-3755
Summary We report an experimental and numerical characterization of three-dimensional acoustic streaming behavior in small droplets of volumes (1–30 μl) induced by surface acoustic wave (SAW). We provide a quantitative evidence of the existence of strong nonlinear nature of the flow inertia in this SAW-driven flow over a range of the newly defined acoustic parameter FNA=Fλ(σ/Rd)≥0.01, which is a measure of the strength of the acoustic force to surface tension, where F is the acoustic body force, λ is the SAW wavelength, σ is the surface tension, and Rd is the droplet radius. In contrast to the widely used Stokes model of acoustic streaming, which generally ignores such a nonlinearity, we identify that the full Navier-Stokes equation must be applied to avoid errors up to 93% between the computed streaming velocities and those from experiments as in the nonlinear case. We suggest that the Stokes model is valid only for very small acoustic power of ≤1 μW (FNA<0.002). Furthermore, we demonstrate that the increase of FNA above 0.45 induces not only internal streaming, but also the deformation of droplets.
Language eng
DOI 10.1103/PhysRevE.86.056304
Field of Research 010199 Pure Mathematics not elsewhere classified
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2012, American Physical Society
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