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The flow is maintained by an electromagnetic pump instead of by a 'heart', however.
An electromagnetic pump is a pump that moves liquid metal (or any electrically conductive liquid) using electromagnetism.
The mercury was circulated through the core and out to a mercury-water heat exchanger at a maximum flow rate of 0.15 L/s by an induction type electromagnetic pump which had no moving parts.
It looses heat into the cool air and then into space, and it gains heat from radioactive atoms, tidal drag from the moon, and maybe electromagnetic pumping of the earth's magnetic field by outside fields.