Originally Posted by chayced
What you are looking for is natural circulation.
http://en.wikipedia.org/wiki/Natural_circulation
It's caused by temperature differential and is used in nuclear power plants among other things. The key to natural circulation is the heat source is low, the heat sink is high, and the pipes connecting the two are large and smooth with few restrictions.
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Natural circulation works on the difference in density between hot and cold liquids or liquid and vapor, i.e. it requires a difference in head (differential pressure). Natural circulation is proposed in the ESBWR rather than pumps, but the system still uses feedwater pumps.
Heat pipes are another example of pumpless heat transfer via a working fluid.
A lot will depend on the amount of heat and rate of heat transfer, and the size of the system.
Pumps are usually necessary for forced convection.