This project is reaching the top of my priority list.
I spent too many hours playing with this website
https://theengineeringmindset.com/specific-heat-capacity-of-materials/
Only to find that nothing is better than water as a heat sink. I was trying to find something that didn't change volume as much as water/ice that is also reasonably available with high enough heat capacity and density that would work in the needed temperature range. I will just have to allow for the expansion. Ten percent is enough.
In trying to decide how much insulation to use, I found this
https://discover.hubpages.com/living/cooler-insulation
All news to me:
R value degrades in a short time and to a different percentage for different materisls
R value is dependent on temperature range, also different curves for different materials
R value is dependent on temperature difference across the gradient because of how it affects the dew point (different insulation materials handle the dew point/moisture differently.
So, I need a way to compare insulation different than just the listed R value. I found this
https://www.wbdg.org/guides-specifi...time-freezing-fluid-insulated-pipe-calculator
That calculator also gives a reasonable way to gauge how much insulation to use for given sizes of water containers at given temperatures to get minimum/maximum time to freeze. As a way to compare how much difference each element makes - since the calculator is for a closed pipe and I will have an opening big enough to allow the chickens to drink; unless I change to nipple watering.
Most obvious is there isn't much difference between the insulation options.
Doubling the thickness of the insulation doubles the time frame needed.
Doubling the diameter of the pipe has progressively more effect at smaller diameters - 1" to 2" triples the time needed; 6" to 12" doubles it... as a very rough rule of thumb type calculation.
Each ten degree (F) increase in the difference between start temperature and end temperature results in about an 8 hour difference in the timeframe (at 4" of insulation and 4@ diameter pipe)(and with neither temp near the freezing point of water.)
I'm thinking of using wood scraps to build a box to insulate. This way, I can size it to fit the water containers I want to use and to reach the hours/temperatures I want. An added bonus is not losing the use of my buckets.
I took some of the box idea from someone who used a cooler in this way. Judd Ripley here
https://permies.com/t/35430/chicken-water-freezing-electricity. He said the minimum size hole his chickens would put their heads through to drink was 3". He had two water containers in the cooler. One was a closed jug as a heat sink; the other emptied onto the floor of the cooler as the chickens drank - a variation of a standard vacuum poultry waterer.
I'm out of time for this for now.
Input welcome (except that it would be a lot easier to buy a heater and run an extension cord to the coop. That is already covered in this thread and there are hundreds of other threads already covering that.)