The return branch of viscous fingers
Abstract
We report a simple experiment of two-dimensional pattern formation in a circular Hele-Shaw cell, showing the appearance of a return branch that is equivalent to the upward-connecting leader of lightning. Injecting water from the center into a foam filled cell, we obtained patterns similar to dendrites of two-dimensional dielectric breakdown experiments. When we repeat this experiment allowing the presence of water in the outer (low pressure) region, dendrites grow initially as in a normal experiment, but when a branch is near the outer boundary, the low pressure water begins to penetrate the foam against the pressure field, forming several return branches.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2005
- DOI:
- 10.48550/arXiv.physics/0505125
- arXiv:
- arXiv:physics/0505125
- Bibcode:
- 2005physics...5125V
- Keywords:
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- Fluid Dynamics;
- Pattern Formation and Solitons