Cavitation microstreaming

Davidson, B.J.; Riley, N.

doi:10.1016/0022-460x(71)90536-0

Cited by 76 publications

(51 citation statements)

References 7 publications

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“…Oscillations of the interface drive a flow field which, in the limit of small oscillation amplitude, is conveniently solved for by an expansion in powers of (Riley 1967;Davidson & Riley 1971;Longuet-Higgins 1998;Riley 2001;Sadhal 2012;Rallabandi et al 2014). The primary oscillatory flow u 0 (characteristic scale aω) is irrotational except in viscous boundary layers of dimensionless thickness δ ≡ a −1 √ 2ν/ω 1, near the boundaries of the domain (Longuet-Higgins 1953;Nyborg 1958;Longuet-Higgins 1998).…”

Section: Problem Definition and Governing Equationsmentioning

confidence: 99%

Three-dimensional streaming flow in confined geometries

et al. 2015

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Steady streaming vortex flow from microbubbles has been developed into a versatile tool for microfluidic sample manipulation. For ease of manufacture and quantitative control, set-ups have focused on approximately two-dimensional flow geometries based on semi-cylindrical bubbles. The present work demonstrates how the necessary flow confinement perpendicular to the cylinder axis gives rise to non-trivial three-dimensional flow components. This is an important effect in applications such as sorting and micromixing. Using asymptotic theory and numerical integration of fluid trajectories, it is shown that the two-dimensional flow dynamics is modified in two ways: (i) the vortex motion is punctuated by bursts of strong axial displacement near the bubble, on time scales smaller than the vortex period; and (ii) the vortex trajectories drift over time scales much longer than the vortex period, forcing fluid particles onto three-dimensional paths of toroidal topology. Both effects are verified experimentally by quantitative comparison with astigmatism particle tracking velocimetry (APTV) measurements of streaming flows. It is further shown that the long-time flow patterns obey a Hamiltonian description that is applicable to general confined Stokes flows beyond microstreaming.

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Section: Problem Definition and Governing Equationsmentioning

confidence: 99%

Three-dimensional streaming flow in confined geometries

et al. 2015

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“…The history of these applications from the 1950s up to the present can be traced through papers by Kolb & Nyborg (1956), Elder (1959), Nyborg (1965Nyborg ( , 1978, Rooney (1970Rooney ( , 1972, Lighthill (1978), Liu et al (2002), Wu (2002), Tho, Manasseh & Ooi (2007), Wu & Nyborg (2008), Collis et al (2010) and Wang, Jalikop & Hilgenfeldt (2012). Theoretical studies on bubble-induced microstreaming were performed by Nyborg (1958), Davidson & Riley (1971), Wu & Du (1997), Longuet-Higgins (1998), Maksimov (2007), Liu & Wu (2009) and Doinikov & Bouakaz (2010a,b, 2014. The results of these studies are described in our recent paper (Doinikov & Bouakaz 2014).…”

Section: Introductionmentioning

confidence: 98%

Microstreaming generated by two acoustically induced gas bubbles

Doinikov

Bouakaz

2016

J. Fluid Mech.

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A theory is developed that describes microstreaming generated by two interacting gas bubbles in an acoustic field. The theory is used in numerical simulations to compare the characteristics of acoustic microstreaming at different frequencies, separation distances between the bubbles and bubble sizes. It is shown that the interaction of the bubbles leads to a considerable increase in the intensity of the velocity and stress fields of acoustic microstreaming if the bubbles are driven near the resonance frequencies that they have in the presence of each other. Patterns of streamlines for different situations are presented.

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“…However, when R 0 is comparable to δ, the streaming speeds for the two situations are of the same order of magnitude (Davidson and Riley 1971). For water as the surrounding medium, we find that δ equals 0.32 μm.…”

Section: Shelled Microbubblementioning

confidence: 76%