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SUMMARY:Some fluid-structure interaction problems in the viscous limit - D
 r Zhong Zheng\, Mechanical Engineering\, Princeton University
DTSTART:20161103T113000Z
DTEND:20161103T123000Z
UID:TALK68542@talks.cam.ac.uk
CONTACT:Catherine Pearson
DESCRIPTION:In this talk\, I will discuss some fluid-structure interaction
  problems at low Reynolds numbers\, motivated by geophysical processes: (i
 ) Inspired by shale gas recovery process\, we study the fluid-driven crack
 s in an elastic matrix in both the viscous and toughness regimes\, dependi
 ng on whether the resistance for crack propagation comes from viscous drag
  for the fluid flow or from opening the crack tip. We also study the elast
 icity-driven backflow process following fluid injection\, and obtain a sim
 ple scaling law for the backflow rate of the fracking fluids. (ii) I will 
 also introduce our fundamental study on the buoyancy-driven spreading of a
  thin viscous film over a thin elastic membrane. We focus on the time evol
 ution of the shape of the liquid-air interface and the deformation of the 
 stretching membrane\, and present a transition from an early-time gravity-
 current regime to a late-time (quasi-steady) membrane-stretching regime. 
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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