Wave equation for propogation of phase change (ice creation) insupercooled water ?

Boo

Hi,

The question is as the title :

When water is supercooled it can suddenly transition between the water and ice
phases. Presumeably this phase change propogates as a wave through the
supercooled liquid ? If so then can anyone tell me which wave equation this
satisfies ? Do wave equations for propagation of phase changes in general share
common characteristics ? Does anyone know of a good, not too technical,
overview of specifically phase change propagation ?

Many thanks,

--
Boo

Uncle Al

Boo wrote:
>
> Hi,
>
> The question is as the title :
>
> When water is supercooled it can suddenly transition between the water and ice
> phases. Presumeably this phase change propogates as a wave through the
> supercooled liquid ? If so then can anyone tell me which wave equation this
> satisfies ? Do wave equations for propagation of phase changes in general share
> common characteristics ? Does anyone know of a good, not too technical,
> overview of specifically phase change propagation ?

It ain't that easy. Water has a specific heat around 1 cal/gram, ice
around 0.5 cal/gram, and the latent enthalpy of fusion is 80
cal/gram. Different thermal conductivities, too. Ya gotta dump the
heat and there's gonna be convection. Water is most dense at 4 C and
less dense at lower and higher temps. Nightmare as a closed form
solution. Good luck on finding a steady state solution except maybe
at zero gee. Looks like a job for finite element analysis in a
computer cluster.

BTW, ice grows as needles and blades to make your happiness complete.


--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz3.pdf

rge11x

Boo wrote:
> Hi,
>
> The question is as the title :
>
> When water is supercooled it can suddenly transition between the water
> and ice phases. Presumeably this phase change propogates as a wave
> through the supercooled liquid ? If so then can anyone tell me which
> wave equation this satisfies ? Do wave equations for propagation of
> phase changes in general share common characteristics ? Does anyone
> know of a good, not too technical, overview of specifically phase
> change propagation ?
>
> Many thanks,
>
> --
> Boo

See the Stefan problem:

http://eom.springer.de/s/s087600.htm