Two-phase fluid displacement and interfacial instabilities under elastic membranes

Talal T. Al-Housseiny, Ivan C. Christov, Howard A. Stone

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

We study the elastic version of the Saffman-Taylor problem: the Hele-Shaw displacement of a viscous liquid by a gas underneath an elastic membrane. We derive the dynamics of the propagating gas-liquid interface and of the deforming membrane. Even though the displacement of a viscous liquid by a gas is susceptible to viscous fingering, the presence of the elastic boundary can lead to the suppression of the instability. We demonstrate how the mechanism of suppression is provided by surface tension at the gas-liquid interface owing to the tapered flow geometry underneath the deflected membrane. We also determine the critical conditions for the onset of the fingering instability in the presence of the elastic boundary.

Original languageEnglish (US)
Article number034502
JournalPhysical review letters
Volume111
Issue number3
DOIs
StatePublished - Jul 16 2013

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Two-phase fluid displacement and interfacial instabilities under elastic membranes'. Together they form a unique fingerprint.

  • Cite this