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Actually you dont. You just need to make sure the water doesnt raise the overall temperature too much. Which can be tricky because water has such a high heat capacity so if the water is much above 5 degrees it might heat up the surroundings too much. Have you tried insulated pipes with water thats slightly higher than 5 degress while cooling the air to well below zero?
Reservoirs automatically average out all liquid contained in them - extremely efficient way to evenly distribute heat or cooling. Then all you need is temp sensors on the output pipe that either allow it to flow to the farm or circulate it back for heating/cooling
If you have access to space and high enough level rockets/research i'd go get some fullerene and make super coolant in the MF.
Then build a 2 wide cooling loop in the farm using whatever radiant pipe, an oil cooled thermo-aquatuner setup, and a few pipe thermo sensors to control temp. Cycle/replace the oil around the steel (or higher) aquatuner when it gets too hot. 2000kg of super coolant should fill a loop or two, but will take awhile to acquire all the fullerene.
The setup should maintain -10F in a 96 tile farm thats being fed ~190F water for around 100-150kj power a cycle, with farm temps and water temps in the pipes feeding the farm remaining relatively stable.
Sure there are better ways but this has worked for me late-game.
Replace the foundation with horizontal doors and use a thermo sensor to open them before the temperature falls below 0c, water in pipes will never freeze then.
https://steamcommunity.com/sharedfiles/filedetails/?id=1740980332
You can also use the thermo sensor to disable thermal aquatuners or wizardworts in a similar fashion, freezing water becomes a thing of the past.
https://steamcommunity.com/profiles/76561198167052960/screenshot/804367798107512202
Here's the water pipes, the water is piped in with insulated pipes (because it goes through the cold biome, I don't want the water to freeze and break the pipes, or warm up the area too much). There's a shut off valve, which I've connected to an 'AND' gate. That gate's connected to a clock sensor (in case I need an override) and a 'NOT' Gate connected to a liquid element sensor. So, whenever the pipe detects there's water in it, it closes the liquid shut-off.
After the shut-off valve I have a liquid valve to reduce flow rate. I'm still fiddling with that, but I think for this farm the sweet spot is somewhere between 2500 g/s and 5000g/s.
From there the water works its way through the super cooled room with the thermal nulifier. At the end it's connected to a liquid shut off. That's currently just connected to a clock and a liquid element sensor that's hanging in mid air (I re-arranged the pipes...).
https://steamcommunity.com/sharedfiles/filedetails/?id=1761851026
The pipes in the sleet wheat farm are ceramic insulated so I don't need to get the water temp down quite so far. I went a little overboard and used diamond temp shift plates throughout the farm to help with the cooling.
(and automation: https://steamcommunity.com/sharedfiles/filedetails/?id=1761850493 )
The cooling is a large room filled with hydrogen, some of which is pumped into the nulifier. At the top I have a pump. That pumps the hydrogen in a little radiator loop through the farm, then drops it back in the cold room to chill down again.
https://steamcommunity.com/sharedfiles/filedetails/?id=1761850774
As I said, this is far from the most efficient solution. I know I've made a lot of mistakes here. But it's a start. I welcome feedback, and I hope it's helpful to anyone trying the same thing.