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This is an issue - the more weight something has, the longer it takes to cool down.
And all this solidified rock on a single pile weights a lot.
The solution is an autosweeper which picks up the rock in nice pieces and puts it onto a conveyor belt which drives in a loop around the heat-chamber.
(A rock distributed over 20 tiles of conveyor belts cools 20 times as fast as if it was sitting on a single tile.)
Make sure you build the autosweeper out of steel!
Also make sure the autosweeper is surrounded by the steam which will cool it down.
Also make sure there is enough water in the room, we want it to hold all the energy the volcano erupts and not get so hot out autosweeper breaks.
(Volcano can handle up to 150kg steam per tile until it overpressures.)
I used two steam turbines to cool everything down enough quickly enough for my trusty autosweeper not to break.
Also make sure your conveyor belts NEVER touch the magma - or they are gone.
My setup: https://imgur.com/a/G5lqnp1
Although the pile of hot rock should seek equilibrium with the floor, it only has one small pathway to transfer energy since it's in one piece? Even with the large energy difference.
Is liquid heat transfer calculated differently? The magma had the same mass, half conductivity, but heated the metal very quickly. Technically it was touching an extra tile and tempshift plate, but it was still 100+ times faster than the solid.
https://forums.kleientertainment.com/forums/topic/84275-decrypting-heat-transfer/
if the solid object(pile of hot rock) is in a vacuum then it transfers heat to the tile it is resting on, but only at 1/4 normal rate.. according to the info in that thread, and it appears correct from my observations.