I have been studying this idea for years. I knew a guy that tried to heat his house with a gigantic mountain of mulch, he thought it out well and laid it out well even putting in a
concrete pad for it all but he used PVC pipe to flow water through to conduct the heat. He ended up melting the pipe down... I have been thinking of this ever since and am resetting up my 20 x 60
greenhouse this year and thought I might incorporate this into the design. It really tough to find good information this. Lots of conjecture and thought experiments but very little actual numerical results to be found.
I finally found the following
video where the guy actually gives some numbers and results, he was also kind enough to
answer some of my questions in the comments. I asked him how long he managed to get heat from this setup and he stated it petered out after three months. He managed to run at about 120 F to 130 F for three months adding material about every three weeks. I also suggested in the comments the potential of having more direct control over the reaction rate of the bacteria by having pipes going through the pile allowing one to control the level of oxygen reaching the bacteria within the pile.
This video is posted by "From Concept to Creation"... The video name is .. Heating your
greenhouse with compost: How to, posted feb 14 2018.
I have had issues with posting a link to a Youtube video on other sites in the past, if I am messing up with this please remove the link. I have added enough info that anyone
should be able to easily look it up if need be.
From what I could gather from what this video shows and the results this guy got is that for "me" I would need about 80 cubic feet of mulch for every 1,000 cubic feet of greenhouse, this 80 cubic feet is the reaction area not the total amount of mulch. The total amount of mulch would likely be around 120 to 140 cubic feet or 4 1/2 to 5 yards of mulch per every 1,00 cubic feet of greenhouse space to keep me 25 F to 35 F above ambient air temperature. With the caveat that I would using dual plastic which is far more efficient at holding in heat, I also would have a better sealed greenhouse than he has.
To heat any sizable greenhouse would require a great deal of mulch, one would likely need to look at supplies. Me I have a farm and it wouldn't be a big issue but for others it would not be so easy. Some potential ideas for cheap sources of mulch...
I used to work at a cedar mill and we would chip all of the garbage wood, most of it sold to the University of Idaho as hog fuel for their electrical generation, some higher quality chips would go to the paper mills in Lewiston or Walla Walla. Anyone could come in with a truck and or trailer and buy chips as well, we were charging $10 a ton for the wood chips.
Tree trimming companies often have to pay to get rid of wood chips, contacting them could get you some cheap wood chips in mass quantity.
One may call the county landfill and see if they have wood chips to offer, sometimes you can pick them up for free.
Waste hay is a common thing in rural areas, I often drive around and watch in the fields and whatnot and often see entire piles of hay that are slowly rotting away and unusable for
feed. My neighbor commonly has several tons of ruined hay each year and I often go over with my boys and clean it all up for him, it is a great supply of waste hay for mulch. My last round we hauled 15 trailer loads home somewhere around 15 tons of wetted down half rotted hay. Not an easy job dealing with wet rotting hay but boy it worth the effort if you have a lot of
gardening to do need large quantities of mulch material.
One could also contact
local mills and see if they have any free sawdust. There is a mill 20 miles from here that gives away truckloads of sawdust for free, you just pull up and they dump a
bucket load in your truck or on your trailer and off you go.
Trying to keep up with that level of mulch would be challenging to say the least. I am in north Idaho and we see temps as low as -30F to -50F here in January and the guy in the video is also in a very cold climate. If one lived in a less severe climate this idea would be easier and more effective. Here just to grow cold tolerant plants in January I would need to produce a "lot" of heat. But I could grow pretty from October -December with this kind of system. Shut the greenhouse down for January and February and then start up again each March.
Hope maybe something here is useful to you. Good luck on your study...
P.S... I understand that my post is geared toward greenhouse heating and yours is about root cellar heating, but I figured the basic information and ideas would be close enough to give a potential idea of what it might take. I figured you might be able to take the much smaller temperature requirement and maybe get a rough guestimate from that.