Liquid snowflake formation in superheated ice

16 October 2012
Matt Hennessy
<p><span>When ice is raised to a temperature above its usual melting temperature</span><br /><span>of 273 K, small cylindrical discs of water form within the bulk of the</span><br /><span>ice. Subsequent internal melting of the ice causes these liquid discs to</span><br /><span>grow radially outwards. However, many experimentalists have observed</span><br /><span>that the circular interface of these discs is unstable and eventually</span><br /><span>the liquid discs turn into beautiful shapes that resemble flowers or</span><br /><span>snowflakes. As a result of their shape, these liquid figures are often</span><br /><span>called liquid snowflakes. In this talk I'll discuss a simple</span><br /><span>mathematical model of liquid snowflake formation and I'll show how a</span><br /><span>combination of analytical and numerical methods can yield much insight</span><br /><span>into the dynamics which govern their growth.</span></p>
  • Junior Applied Mathematics Seminar