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SUMMARY:Viscous fingering  - George Fortune
DTSTART:20180316T152000Z
DTEND:20180316T161000Z
UID:TALK103072@talks.cam.ac.uk
CONTACT:Kasia Wyczesany
DESCRIPTION:The interface between two fluids of differing viscosities can 
 become unstable. This leads to complex pattern formation as the less visco
 us fluid extrudes into the more viscous fluid forming viscous fingers. We 
 review the mechanism which generates the instability in a rectangular Hele
 -Shaw cell (where a singular Saffman-Taylor finger is produced). Surface t
 ension is considered in the linear stability analysis as a way to stabilis
 e the instability. We then introduce the use of an elastic membrane as the
  top boundary of a circular Hele-Shaw cell. This technique delays consider
 ably the onset of the instability. The geometry is modelled through the us
 e of a depth averaged lubrication equation coupled to a set of Foppl-von K
 arman equations describing the deformation of the elastic membrane.
LOCATION:MR15
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