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SUMMARY:Rotating Paint Catenaries : Pollock's technique explained - Paul R
 obin (ENS\, Paris) 
DTSTART:20180712T120000Z
DTEND:20180712T130000Z
UID:TALK107761@talks.cam.ac.uk
CONTACT:Anne Herrmann
DESCRIPTION:Jackson Pollock is a famous abstract artist who used unconvent
 ional painting techniques to create huge non-figurative works. One of his 
 techniques consists in swinging a brush coated in a very viscous paint in 
 front of a vertical canvas. It creates a paint filament that stretches bef
 ore splashing and coiling on the canvas\, creating complex patterns that a
 re impossible to recreate without precise control over the paint's propert
 ies.\nIn this talk\, I will present various theoretical and numerical resu
 lts on rotating filament of viscous fluid and discuss how viscosity\, surf
 ace tension\, gravity\, inertia and air resistance affect the splashing pa
 ttern.\nFirst\, I will derive a mathematical model for the shape of the pa
 int filament while it is mid-air\, and show how it displays very rich phys
 ics from viscous boundary layers to self-similar\, friction-dominated spir
 als.\nThen\, I will focus on the splashing pattern. It sometimes displays 
 curly lines remindful of those of the famous "liquid rope coiling". I will
  show how we can actually predict the apparition of coiling even with litt
 le understanding of the complex mechanisms at work - which Pollock did not
  have at the time.
LOCATION:MR11\, Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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