Schmidt: Vibrational Modes of an Implosion Singularity
Feb
22
Fri 2:00 PM
When Friday, February 22, 2008
Time
2:00 PM - 3:00 PM
Where Tech M416
Contact Alvin Bayliss
847-491-7221
Group McCormick-Colloquia Engineering Sciences and Applied Mathematics
Applied Math Colloquium
Title: Vibrational Modes of an Implosion Singularity
Speaker: Laura Schmidt, University of Chicago
Special Note: Please note changed date
Abstract: Recent experiments show that when an air bubble breaks away from an underwater nozzle, the thin neck that pinches off retains a detailed memory of initial asymmetries in its shape (Keim et al, Phys. Rev. Lett. 97, 144503 (2006)). This is in contrast to other break-up studies (e.g. water falling from a faucet) which reveal universal break-up dynamics. Motivated by these observations, we consider the singularity dynamics of a collapsing 2-D circular hole in water. Upon perturbing the natural circular symmetry, memory is manifested as the conservation of the size of the initial distortion and in vibrations of the shape as the hole closes. As break-up is approached, the vibrations dramatically alter the final stages of the singularity. We show that this ideal implosion is relevant to reality by directly comparing the 2-D model to vibrations induced in experiments by the release of a bubble from a slot-shaped nozzle. This talk is part of the RTG seminar series associated with the ESAM RTG project.
Title: Vibrational Modes of an Implosion Singularity
Speaker: Laura Schmidt, University of Chicago
Special Note: Please note changed date
Abstract: Recent experiments show that when an air bubble breaks away from an underwater nozzle, the thin neck that pinches off retains a detailed memory of initial asymmetries in its shape (Keim et al, Phys. Rev. Lett. 97, 144503 (2006)). This is in contrast to other break-up studies (e.g. water falling from a faucet) which reveal universal break-up dynamics. Motivated by these observations, we consider the singularity dynamics of a collapsing 2-D circular hole in water. Upon perturbing the natural circular symmetry, memory is manifested as the conservation of the size of the initial distortion and in vibrations of the shape as the hole closes. As break-up is approached, the vibrations dramatically alter the final stages of the singularity. We show that this ideal implosion is relevant to reality by directly comparing the 2-D model to vibrations induced in experiments by the release of a bubble from a slot-shaped nozzle. This talk is part of the RTG seminar series associated with the ESAM RTG project.
