Actually, let's take another look at it heating a greenhouse.
The object here is to make
the answer more general:
At R2 it takes 1/2 btu/hour/degree F. to heat a square foot of greenhouse.
So for spring and fall when nights roughly equal days we have 12 hours of night, so we need 12 * 1/2 = 6 btu per square foot per degree.
Now no system is perfect, so I will add a third for inefficiencies. 8 pounds.
But that's a gallon
So 1 gallon of water per square foot, will heat a green house if the water is as much warmer as the outside is cooler.
What?
If you want a 60 degree greenhouse, then it takes a gallon of 90 degree water to keep it warm against 30 degree outside temps.
If you are happy with the temp dropping to 50, then your water only needs to be 70.
Multipliers:
If you run into late fall or early spring, you now have a 16 hour night instead of a 12 hour night. It now takes 4 gallons for every 3 square feet.
If the drop in temp outside is twice as much as the differnce between the desired temp and your source of hot water, you need twice as much water.
If your greenhouse is only R1 instead of R2 you need twice as much water.
So How much water as thermal mass do you need to keep night time temps at 50F for a 5000 square foot green house. You want to run all winter, and it gets down to -10F in February.
You don't want greenhouse temps during the day to get over 85 -- plants stop working well. So the best case is that your water will get to about 80. That's 30 degrees above your minimum.
50 to -10 is 60 degrees below your minimum. That means a multiplier of 2.
So 5000 square feet * 2 gallons/square foot =10,000 gallons of water. If you did it all in 50 gallon barrels, it would take 200 barrels, which would cover 800 square feet.
However, you now have daily temperature swings of 35 degree. Most plants get unhappy with this much variation. Suppose we want to keep the temp at 60 with a max temp of only 80.
Now we have 70 degrees of heating to do, and only 15 degrees to do it with. So now the multiplier is almost 5. Most of the greenhouse is covered in barrels.
Ok. Can we make water hotter so we need less of it.
Sure. Don't store it in the green house.
Make a half a greenhouse. Put up a
straw building on the north face. The top of the greenhouse meets the top of the building. The face on the inside of the building is painted black, and it is covered with clear plastic held a couple inches away. A fan at the top of this plenum pulls hot air from the top, and blows it through the room full of barrels, return cooler air to the bottom of the plenum. This allows you to use half the light hitting the greenhouse to warm water to a LOT warmer than the greenhouse gets.
More importantly: By making the room bigger, you can store more heat in a way that doesn't cool off at night much. (Straw bale walls are about R40) So you can size the heat store for several days of cloudy weather.
Is it worth it?
Here in Alberta commercial greenhouses are paying about $3/square foot/year to heat with natural gas. Our 5000 square foot green house costs 15K/year to heat. A heat battery like I'm mentioning would take up as much room as the greenhouse. So you get half the greenhouse per acre. Tyipically the other costs of running a greenhouse, mostly labour, are several times the price of heating.
If
land is cheap, it may be worth it. If gas goes up, it may be worth it.