Viscous fingering and dendritic growth under an elastic membrane
Fluid Dynamics
2017-10-11 v1
Abstract
We investigate the viscous fingering instability that arises when air is injected from the end of an oil-filled, compliant channel. We show that induced axial and transverse depth gradients foster novel pattern formation. Moreover, the steady propagation of the interface allows us to elucidate the nonlinear saturation of a fingering pattern first observed in a time-evolving system (Pihler-Puzovic et al. PRL 108, 074502, 2012): the wavelength is set by the viscous fingering mechanism, but the amplitude is inversely proportional to the tangent of the compliant wall's inclination angle.
Keywords
Cite
@article{arxiv.1612.08383,
title = {Viscous fingering and dendritic growth under an elastic membrane},
author = {Lucie Ducloue and Andrew Hazel and Draga Pihler-Puzovic and Anne Juel},
journal= {arXiv preprint arXiv:1612.08383},
year = {2017}
}