Wow, what's happening to our forums? This thread went on for about 20 posts before someone who knew what they were talking about helped out. I'll blame it on the thread being kind of in the wrong forum.
These are the best links on phase change CPU cooling that I am aware of; anyone who is seriously interested in using phase change cooling MUST READ these:
Beginners class 101 by Bowman:
http://www.phase-change.com/index.php?action=Articles_page&cat=Articles&id=21&page=1
Refrigeration guide:
http://www.wc101.com/guides/refridgeration/
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And a note on minifridges, they aren't great. Like was said earlier, the cheap minifridges can have very underpowered compressors that won't do the job - but if you get a minifridge with a compressor, there are people who say this works for them. Also, often times these mini-fridges don't use compressors at all, but instead they use TEC's to create their chill. These will not handle the cpu thermal load at all.
Building a PC inside a fridge has been considered before. Some people who haven't done their research have probably gone ahead and tried it, to later find their computer no longer functions. Condensation forms on subambient surfaces, and it can form very quickly depending on the air temperature, surface temperature, and humidity present...
Condensation:
Condensation depends on surface temperature, air temperature, humidity, and air pressure. Air pressure is negligible if your region is relatively close to 1ATM.
This chart shows the surface temperatures (in black) that condesation will begin to form at:
Chart is by and from Bladerunner of these forums.
What's this mean? Open that fridge door and you are going to have some considerable condensation forming all over every component = NOT GOOD. Unless you have a real interesting solution, you would have to wait everytime you want to insert a disk or anything of that sort, so that you could pull the plug on the fridge and let the components warm up so you can open the fridge door to your PC.
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For more information, either ask more questions or do a search for these keywords (All these keywords are spelled correctly):
phase change, prometia, vapochill, refridgeration, direct die*
If you need to narrow down your results you can use the username Warlord2... he always hangs out in extreme cooling and is very knowledgeable.
Here is a link to the Extreme Cooling forum where phase change, TEC's, and chillers are most often discussed. There is plenty to be learned just by perusing through this section:
http://forum.oc-forums.com/vb/forumdisplay.php?s=&forumid=72