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SUMMARY:Complex variable techniques applied to two problems in Stokes flow
 : rotation of a superhydrophobic cylinder\, and evolution of multiple drop
 s with surfactant - Michael Siegel (New Jersey Institute of Technology)
DTSTART:20191031T113000Z
DTEND:20191031T123000Z
UID:TALK133507@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We present two problems in which complex variable techniques p
 rovide an essential component of the analysis. First\, a model of a superh
 ydrophobic cylinder rotating in a viscous liquid is considered. The bounda
 ry of the cylinder is assumed to contain alternating no-slip and no-shear 
 surfaces oriented transverse to the flow. The main interest is in computin
 g the hydrodynamic torque on the cylinder.  An explicit solution to the fl
 ow problem is obtained by combining complex variable techniques with asymp
 totic analysis. This work is joint with Ehud Yariv (Technion). Second\, we
  present a new boundary integral method for computing the evolution of mul
 tiple surfactant covered drops in 2D Stokes flow. The method maintains hig
 h accuracy when drops are in very close proximity\, which is a challenging
  situation for numerical computation.   Complex variable techniques are cr
 itical in both the design and validation of the method.  This is joint wor
 k with Sara Palsson and Anna-Karin Tornberg (KTH Stockholm). 
LOCATION:Seminar Room 1\, Newton Institute
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