Applied and Interdisciplinary Mathematics Seminar

University of Michigan

Fall 2007
Friday, 21 September, 3:10-4:00pm, 1084 East Hall

Acoustic ripples on long entrained bubbles

Andrew Belmonte

W. G. Pritchard Laboratories
Department of Mathematics
Penn State University, USA


Abstract

How does a rapidly moving object enter a quiescent fluid? The experimental study of this problem parallels the development of high-speed imaging (Worthington, Edgerton), and recent studies show that there are still new things to be understood - even in water. I will present our experiments on the fluid impact of a solid sphere, which produces a cavity and subsequently an entrained bubble, a splash, and an audible PLUNK! We have found that this acoustic emission leads to coherent ripples on the bubble surface, which are fixed in the lab frame, and begin just after the pinch-off ("deep seal") of the cavity. A potential flow model for a slightly compressible fluid explains these ripples as the spatial rectification of the acoustic bubble oscillations by the moving object. This is joint work with T. Grumstrup and J. B. Keller.