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Boo
science forum beginner
Joined: 25 Apr 2006
Posts: 6
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 Posted: Thu Jun 15, 2006 9:22 pm Post subject:
Wave equation for propogation of phase change (ice creation) in supercooled water ?
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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 |
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Uncle Al
science forum Guru
Joined: 24 Mar 2005
Posts: 1226
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| Posted: Sat Jun 17, 2006 12:43 pm Post subject:
Re: Wave equation for propogation of phase change (ice creation) insupercooled water ?
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Boo wrote:
| Quote: |
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 ?
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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 |
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rge11x
science forum beginner
Joined: 11 May 2005
Posts: 13
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| Posted: Sat Jun 17, 2006 10:54 pm Post subject:
Re: Wave equation for propogation of phase change (ice creation) in supercooled water ?
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Boo wrote:
| Quote: | 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
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See the Stefan problem:
http://eom.springer.de/s/s087600.htm |
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