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SUMMARY:Axisymmetric extrusion of a shear-thinning fluid in confined and u
 nconfined geometries - Jonathan Watts (University of Cambridge)
DTSTART:20251029T130000Z
DTEND:20251029T140000Z
UID:TALK237295@talks.cam.ac.uk
CONTACT:Emma
DESCRIPTION:We consider the axisymmetric\, radial extrusion of Newtonian a
 nd shear-thinning\, power-law fluids from a cylindrical source\, which dis
 place an ambient inviscid fluid of equal density. In an unconfined geometr
 y\, the thickness of an extruded shear-thinning fluid layer is found to gr
 ow without bound over time\, but in a Hele-Shaw cell\, this is prevented f
 rom happening\, and the fluid instead makes contact with the horizontal bo
 unding walls. We find similarity solutions for a range of power-law expone
 nts\, and show that there is no similarity solution in the unconfined case
  for the power-law exponent n>3/2\, whereas in the confined case\, there a
 re similarity solutions for all values of n.
LOCATION:MR12
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