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SUMMARY:Theory of bubble tips in strong viscous flows - Jens Eggers\, U. B
 ristol
DTSTART:20230127T160000Z
DTEND:20230127T170000Z
UID:TALK195022@talks.cam.ac.uk
CONTACT:Prof. Jerome Neufeld
DESCRIPTION:A free surface\, placed in a strong viscous flow (such that vi
 scous forces overwhelm surface tension)\, often develops ends with very sh
 arp tips. We show that the axisymmetric shape of the ends\, non-dimensiona
 lized by the tip curvature\, is governed by a universal similarity solutio
 n. The shape of the similarity solution is close to a cone\, but whose slo
 pe varies with the square root of the logarithmic distance from the tip. P
 ursuing the calculation of the tip similarity solution to the next order\,
  we demonstrate matching to previous slender-body analyses\, which fail ne
 ar the tip. This allows us to resolve the long-standing problem\, first ra
 ised by G.I. Taylor\, of finding the global solution of a bubble in a stro
 ng hyperbolic flow. Our results are shown to agree in detail with the expe
 riment as well as full numerical simulations of the Stokes equation.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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