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Oscillations, Waves, and Interactions - GWDG

Oscillations, Waves, and Interactions - GWDG

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The single bubble – a hot microlaboratory 149<br />

Figure 9. Dynamics of a laser-produced spherical bubble in silicone oil of viscosity 4.85<br />

poise observed at 75000 frames per second. Maximum bubble radius is about 2 mm.<br />

3.1 Laser-bubble dynamics<br />

The following figures present some examples of single bubble dynamics under various<br />

circumstances. Figure 9 shows the free oscillations of a single spherical bubble<br />

produced in silicone oil attaining a maximum bubble radius of about 2 mm, substantially<br />

larger than the few 10 µm of acoustically trapped bubbles. The oscillation is<br />

damped by the viscosity of the liquid <strong>and</strong> the bubble attains its equilibrium radius<br />

after about four oscillations. The bright spot in the middle of the bubble is a result<br />

of the backlight. In a nicely spherical bubble of this size the light traverses the bubble<br />

undeflected <strong>and</strong> nearly undeflected along <strong>and</strong> near perpendicular incidence of the<br />

illuminating light on the bubble surface.<br />

Figure 10 shows the collapse of a single bubble near a solid wall. The sequence taken<br />

at 300000 frames per second starts near the first collapse <strong>and</strong> shows the characteristic<br />

protrusion of the bubble wall towards the surface. The liquid jet is hidden inside this<br />

protrusion <strong>and</strong> is best visible in the rebound phase as a dark line inside the bright<br />

spot at the center of the cavity where the backlight can pass undisturbed through<br />

the smooth bubble surface. After some time the long tube of gas <strong>and</strong> vapour with<br />

the jet inside gets unstable <strong>and</strong> decays into several tiny bubbles. The surface of the<br />

bubble thereby reapproaches its spherical shape.<br />

The formation <strong>and</strong> strength of a jet inside the bubble depends on the distance s<br />

of the bubble center from the wall. To be more exact, the normalized distance or<br />

st<strong>and</strong>-off parameter<br />

γ = s<br />

,<br />

Rmax

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