Document Detail

Two-phase fluid displacement and interfacial instabilities under elastic membranes.
MedLine Citation:
PMID:  23909329     Owner:  NLM     Status:  In-Data-Review    
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.
Talal T Al-Housseiny; Ivan C Christov; Howard A Stone
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Publication Detail:
Type:  Journal Article     Date:  2013-07-16
Journal Detail:
Title:  Physical review letters     Volume:  111     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2013 Jul 
Date Detail:
Created Date:  2013-08-05     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  034502     Citation Subset:  IM    
Department of Chemical and Biological Engineering, Princeton University, Princeton, New Jersey 08544, USA.
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