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Regensburg 2010 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Fluid Dynamics

DY 32.5: Talk

Friday, March 26, 2010, 11:15–11:30, H47

Oscillation dynamics of soap bubblesUlrike Kornek1, Kirsten Harth1, •Ralf Stannarius1, Andreas Hahn2, and Lutz Tobiska21Otto-von-Guericke-Universität Magdeburg, Institut für Experimentalphysik — 2Institut für Analysis und Numerik

Oscillations of fluid spheres in fluid environment have been extensively studied since the 19th century. By high-speed video imaging, we investigate oscillations of soap bubbles with radii of 1 cm and more. The gases inside and outside the bubbles contribute to the oscillations, whereas the inertia of the membrane can be neglected. Initial states are prepared by fusion of two spherical bubbles. During the experiment the bubbles float on a layer of butane. The surface tension of the soap films drives damped oscillations from the initial states into the equilibrium sphere shape.

Shapes in each image are expanded in cylinder symmetric spherical harmonics, considered as the eigenmodes of the linearised system [1]. From time dependent amplitudes of these modes we analyse the frequencies and damping constants, as well as anharmonic behavior of the modes and test the predictions of various analytical and numerical models. In addition, we solve the Navier-Stokes equations by means of a finite elements algorithm with moving boundaries and compare the results with experimental data.

[1] Sir H. Lamb, Hydrodynamics, Cambridge University Press (1932), p. 473 ff.

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