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CATEGORIES:DAMTP BioLunch
SUMMARY:Weakly nonlinear dynamics of self-propelling activ
 e droplets - Gunnar Peng\, Imperial College London
DTSTART;TZID=Europe/London:20230622T130000
DTEND;TZID=Europe/London:20230622T140000
UID:TALK202519AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/202519
DESCRIPTION:An active droplet emitting or consuming a chemical
  that affects its surface tension can exhibit spon
 taneous motion\, by driving a symmetry-breaking Ma
 rangoni flow. We derive a reduced-order model for 
 the slow dynamics of the droplet near the threshol
 d for spontaneous motion using a weakly nonlinear 
 expansion\, which involves matching a quasi-steady
  droplet-scale solution to an unsteady diffusive r
 emote region. The resulting amplitude equation for
  the droplet velocity includes a term representing
  the interaction of the droplet with its own wake 
 in the remote region\, which can be expressed as a
  time integral over the history of the droplet mot
 ion. This allows theoretical analysis and efficien
 t numerical simulation of fully three-dimensional 
 problems for one or more droplets in various setti
 ngs.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberf
 orce Road\, Cambridge
CONTACT:Marco Vona
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