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SUMMARY:Forms and Patterns of Viscous and Elastic Threads - Neil Ribe (CNR
 S (Centre national de la recherche scientifique)\; Université Paris Sacla
 y\; CNRS (Centre national de la recherche scientifique))
DTSTART:20170926T100000Z
DTEND:20170926T110000Z
UID:TALK81661@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Some of the most beautiful and easy-to-produce instabilities i
 n fluid mechanics<br>are those that occur when a thin stream of viscous fl
 uid like honey falls steadily<br>from a certain height onto a solid surfac
 e. In addition to the familiar &#39\;liquid rope<br>coiling&#39\; effect\,
  one can observe periodic folding with or without rotation of the<br>foldi
 ng plane\; periodic collapse and rebuilding of the hollow cylinder formed 
 by a<br>primary coiling instability\; and &#39\;liquid supercoiling&#39\;\
 , in which the cylinder as a<br>whole undergoes steady secondary folding a
 nd rotation. Using a combination of<br>laboratory experiments\, analytical
  theory\, and numerical simulation\, I and my<br>colleagues have determine
 d a phase diagram for these states in the space of<br>dimensionless fall h
 eight and flow rate\, and have identified the dimensionless<br>parameter t
 hat controls which state or states are observed under given<br>conditions.
  We have also studied pattern formation in the closely related &#39\;fluid
 <br>mechanical sewing machine&rsquo\; (FMSM)\, wherein a viscous thread fa
 lling onto a<br>moving belt generates a wealth of complicated &#39\;stitch
 &#39\; patterns including<br>meanders\, alternating loops\, and doubly per
 iodic patterns. We have determined<br>experimentally and numerically the p
 hase diagram for these patterns in the<br>space of dimensionless fall heig
 ht and belt speed\, and have formulated a simple<br>reduced (three degrees
  of freedom) model that successfully predicts the patterns<br>in the limit
  of negligible inertia. In closing\, I shall compare the observed FMSM<br>
 patterns with those of the &lsquo\;elastic sewing machine&rsquo\; in which
  a normal elastic<br>thread falls onto a moving belt.<br><br>
LOCATION:Seminar Room 2\, Newton Institute
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