I still got this one at home, once ordered it to do some with it in the future for my aquaponic idea. Didn't come to that yet, still brainstorming.
http://www.ebay.com/itm/Mini-Ultra-...485?pt=LH_DefaultDomain_0&hash=item19f1750cf5
Quite a nice little strong submerseble pump, 12 volt 4,2 watt 240l/h, it can run on a solar panel like 2 x 6v/3w in serie, still wont be enough for running it on a battery and charge it at the same time. I tested it as powerhead in my tank , it runs like a charme and swirls my 40 liters a bit to much.. It needs 10,6 volt as starting power and it wont run with less, so it only runs full power. So the panels need to give full power to make it run, the question is at what point of the day will that be?
I guess you need at least a 12 volt 20 watt pannel, a charge controller to charge a 11,2 volt 1500mah lipo battery.. A 12 volt 10 watt panel somewhat arounf $ 25 x 2, charge controler $ 15, battery $ 15 motor $ 5 some wire, some hose, some construction material to mount and to make you a little filter so the pump wont clog. Battery have a cycle life, the life like a notepad battery have about a 1000 load cycles to live. After that the time will be getting much shorter to drain it empty. For example like lot of us maybe have experienced already, new notebook runs 5 hours on the battery, 2 years later only 1/2 an hour left. This is all depending on the quality of the battery and if it is in constant use, so these things you need to take in consideration.
I use this pump to run my filter.
http://www.ebay.com/itm/New-High-Qu...815?pt=LH_DefaultDomain_0&hash=item3f4d805d77
12v - 1050ma 13 watt 600l/h, it can run on lower power and starts at 6,4 volts, but still it use about 7 watts to run like that. Thats even more consumption than the little one from above.
At least if you like to push a fair amount of dense medium like water around to get a nice cooling and aerating flow, you need some power you can't get around that. And that's what you only will find in the aquarium or pond section..
I'm not sure how they performe but you could take a look in the computer or model building section. There often small 3 volts pumps are used to provide cooling or do something funny with an electric train model setup. Here is an example of a totaly home made 3 volt pump. But you'll find them also ready made in the model building stores.
http://www.instructables.com/id/A-homemade-water-pump/
Little pumps llike that have a 4 mm nozle and spray considerably more powerfull than a pump with same specs and 10mm nozle like the pond thing in the video. In you little bucket it might just do.