Year: 2012
Type: preprint
Abstract: In 1904, while experimenting with high-speed photography, Lucien Bull recorded a pellet passing through a soap bubble. We investigate the dynamics that allow for a rigid body to pass through a hemispherical soap film without rupturing it. In this fluid dynamics video spheres were dropped from rest above a hemispherical soap film. At impact, the soap film stretches into a cavity around the sphere. As the sphere continues to descend, the film cavity pinches off and the film returns to its initial hemispherical shape. Upon closer observation of the film-sphere-air interface, the stability of the soap film appears to arise through a balance between the forces of the sphere inertia and the film tension. Therefore the relevant experimental parameter is the Weber number: We=rho*2*g*h*R*sigma, where R is the sphere radius and h is the height that the sphere is dropped from. We vary the sphere radius and velocity to provide a range of Weber numbers in order to investigate the dependence of film stability. Three subtly distinct regimes arise across the observed experimental range of Weber numbers. The first regime is demonstrated (We<3200) by a cavity shape that resembles a catenoid which pinches off both near the sphere and the hemispherical surface. The second regime is demonstrated (3200
Source: arXiv (Cornell University)
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2241296930