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Physics > Fluid Dynamics

arXiv:1612.08383 (physics)
[Submitted on 26 Dec 2016]

Title:Viscous fingering and dendritic growth under an elastic membrane

Authors:Lucie Ducloue, Andrew Hazel, Draga Pihler-Puzovic, Anne Juel
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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.
Subjects: Fluid Dynamics (physics.flu-dyn)
Cite as: arXiv:1612.08383 [physics.flu-dyn]
  (or arXiv:1612.08383v1 [physics.flu-dyn] for this version)
  https://doi.org/10.48550/arXiv.1612.08383
Related DOI: https://doi.org/10.1017/jfm.2017.468

Submission history

From: Lucie Ducloue [view email]
[v1] Mon, 26 Dec 2016 13:52:09 UTC (959 KB)
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