Oscillating path between self-similarities in liquid pinch-off.

ABSTRACT: Many differential equations involved in natural sciences show singular behaviors; i.e., quantities in the model diverge as the solution goes to zero. Nonetheless, the evolution of the singularity can be captured with self-similar solutions, several of which may exist for a given system. How to characterize the transition from one self-similar regime to another remains an open question. By studying the classic example of the pinch-off of a viscous liquid thread, we show experimentally that the geometry of the system and external perturbations play an essential role in the transition from a symmetric to an asymmetric solution. Moreover, this transient regime undergoes unexpected log-scale oscillations that delay dramatically the onset of the final self-similar solution. This result sheds lig

SUBMITTER: Lagarde A 

PROVIDER: S-EPMC6298122 | biostudies-literature | 2018 Dec

REPOSITORIES: biostudies-literature