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SUMMARY:Shaping of solids under natural convection - Megan Davies Wykes (U
 niversity of Cambridge)
DTSTART:20221020T103000Z
DTEND:20221020T113000Z
UID:TALK183038@talks.cam.ac.uk
CONTACT:Catherine Pearson
DESCRIPTION:Fluids sculpt many of the shapes we see in the world around us
 . We present a new mathematical model describing the shape evolution of a 
 body that dissolves or melts under gravitationally stable buoyancy-driven 
 convection\, driven by thermal or solutal transfer at the solid-fluid inte
 rface. For high Schmidt number\, the system is reduced to a single integro
 -differential equation for the shape evolution. Focusing on the particular
  case of a cone\, we derive complete predictions for the underlying self-s
 imilar shapes\, intrinsic scales and descent rates. We will present the re
 sults of new laboratory experiments\, which show an excellent match to the
  theory. By analysing all initial power-law shapes\, we uncover a surprisi
 ng result that the tips of melting or dissolving bodies can either sharpen
  or blunt with time subject to a critical condition.
LOCATION:Institute for Energy and Environmental Flows\, CB3 0EZ
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