Document Type
Article
Department
Mathematics (HMC)
Publication Date
9-1999
Abstract
Recent studies of pinch-off of filaments and rupture in thin films have found infinite sets of first-type similarity solutions. Of these, the dynamically stable similarity solutions produce observable rupture behavior as localized, finite-time singularities in the models of the flow. In this letter we describe a systematic technique for calculating such solutions and determining their linear stability. For the problem of axisymmetric van der Waals driven rupture (recently studied by Zhang and Lister), we identify the unique stable similarity solution for point rupture of a thin film and an alternative mode of singularity formation corresponding to annular “ring rupture.”
Rights Information
© 1999 American Institute of Physics
DOI
10.1063/1.870138
Recommended Citation
Stability of self-similar solutions for van der Waals driven thin film rupture. Thomas P. Witelski and Andrew J. Bernoff, Phys. Fluids 11, 2443 (1999).
